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Paper Citation Record · LEDGER

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems

As of 18 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2509.10118.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.10118 v1

Coverage vector

measured 59 of 59 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T18:14:38.704729Z

measured 59 of 59 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

59 of 59 outbound references displayed

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  • verified fuzzy0
  • unresolved59
  • parse uncertain0
  • malformed identifier0
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Outbound references

Observation 7ea5a68b-71fa-4f6c-863d-288c915f6438 · outbound

This paper cites Sub- space identification of large-scale interconnected systems.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Sub- space identification of large-scale interconnected systems

Reference 1

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Observation f06ff564-df3c-4a13-9e2e-beb83773886e · outbound

This paper cites Small-gain theorem for safety verification of inter- connected systems.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Small-gain theorem for safety verification of inter- connected systems

Reference 2

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Observation 96d24e3e-fce5-4588-bf82-151cf9dadd10 · outbound

This paper cites Privacy-preserving distributed estimation for interconnected dynamic systems.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Privacy-preserving distributed estimation for interconnected dynamic systems

Reference 3

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Observation c7b0c431-d9a9-431f-b8a7-363d78d45ade · outbound

This paper cites an unresolved cited work.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Unresolved cited work

Reference 4

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Observation 3c465048-61db-4205-877b-4cf056ca2512 · outbound

This paper cites String stability in microgrids using frequency controlled inverter chains.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems String stability in microgrids using frequency controlled inverter chains

Reference 5

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Observation cc48b456-271b-4534-b5b1-64bc23a78abd · outbound

This paper cites Opti- mal control of interconnected systems with time- correlated noises: Application to vehicle platoon.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Opti- mal control of interconnected systems with time- correlated noises: Application to vehicle platoon

Reference 6

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Observation 9f0bc6b4-a8f4-45f0-b5b9-e892f220c571 · outbound

This paper cites A parameter privacy-preserving strategy for mixed-autonomy platoon control.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems A parameter privacy-preserving strategy for mixed-autonomy platoon control

Reference 7

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Observation c6cebb80-661c-4949-b990-e792f2bd3cea · outbound

This paper cites Model pre- dictive control of interconnected linear and nonlin- ear processes.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Model pre- dictive control of interconnected linear and nonlin- ear processes

Reference 8

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Observation 1ee5834d-753a-4539-ad64-da880afa32d6 · outbound

This paper cites String stability for vehicular platoon control: Definitions and analysis methods.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems String stability for vehicular platoon control: Definitions and analysis methods

Reference 9

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Observation f65dfad7-008e-4f90-84d4-8c3ffef27dab · outbound

This paper cites Leading cruise control in mixed traffic flow: System modeling, controllability, and string stability.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Leading cruise control in mixed traffic flow: System modeling, controllability, and string stability

Reference 10

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Observation 401a63fe-d718-4958-bb71-0605f1489ca2 · outbound

This paper cites String stable and collision-safe model predictive platoon control.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems String stable and collision-safe model predictive platoon control

Reference 11

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Observation d4688122-2514-44de-a3fe-33eea37f09fa · outbound

This paper cites Adaptive learning-based model predictive control for uncer- tain interconnected systems: A set membership identification approach.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Adaptive learning-based model predictive control for uncer- tain interconnected systems: A set membership identification approach

Reference 12

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Observation eeac74e2-2ec5-4e94-b117-094d468d61bb · outbound

This paper cites Distributed adap- tive integrated-sliding-mode controller synthesis for string stability of vehicle platoons.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Distributed adap- tive integrated-sliding-mode controller synthesis for string stability of vehicle platoons

Reference 13

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Observation 7675378d-7ec0-4176-9bbf-aad0158873e5 · outbound

This paper cites End-to-end safe reinforce- ment learning through barrier functions for safety- critical continuous control tasks.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems End-to-end safe reinforce- ment learning through barrier functions for safety- critical continuous control tasks

Reference 14

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Observation c2ce0583-b82c-41c2-8e63-8004c0e934fc · outbound

This paper cites A reinforce- ment learning-based vehicle platoon control strat- egy for reducing energy consumption in traffic os- cillations.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems A reinforce- ment learning-based vehicle platoon control strat- egy for reducing energy consumption in traffic os- cillations

Reference 15

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Observation 806ffbfe-ccfa-42a8-8c7d-f19c69273c2d · outbound

This paper cites En- hancing system-level safety in mixed-autonomy pla- toon via safe reinforcement learning.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems En- hancing system-level safety in mixed-autonomy pla- toon via safe reinforcement learning

Reference 16

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Observation fe860410-68b3-4e57-9a87-571897a59446 · outbound

This paper cites On the string stability of neural network-based car-following models: A generic analysis framework.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems On the string stability of neural network-based car-following models: A generic analysis framework

Reference 17

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Observation b68eedc4-d0fc-4fd9-843b-f6b0c43769fb · outbound

This paper cites Lyapunov-stable neural-network control.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Lyapunov-stable neural-network control

Reference 18

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Observation 05ee9e05-0df9-492e-852e-23fd05968549 · outbound

This paper cites Lyapunov- stable neural control for state and output feedback: A novel formulation.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Lyapunov- stable neural control for state and output feedback: A novel formulation

Reference 19

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Observation 4b460825-bf00-4073-8fb7-37ed1842b369 · outbound

This paper cites Safe and reliable training of learning-based aerospace controllers.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Safe and reliable training of learning-based aerospace controllers

Reference 20

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Observation dcd11161-96b9-4ed7-9898-2760526a7ab6 · outbound

This paper cites Formally Verifying Deep Reinforcement Learning Controllers with Lyapunov Barrier Certificates.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Formally Verifying Deep Reinforcement Learning Controllers with Lyapunov Barrier Certificates

Reference 21

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Observation a9decb62-5d78-4dcf-8c40-c0bc1347aae7 · outbound

This paper cites Compositional neural certificates for networked dynamical systems.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Compositional neural certificates for networked dynamical systems

Reference 22

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Observation bff7cd68-aab0-42ba-8513-8ef0255ee6e3 · outbound

This paper cites Scal- able input-to-state stability of nonlinear intercon- nected systems.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Scal- able input-to-state stability of nonlinear intercon- nected systems

Reference 23

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Observation 0c066f08-fb3a-43ac-91a7-dcaf452b7876 · outbound

This paper cites Heterogeneous string stability of unidirectionally interconnected mimo lti systems.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Heterogeneous string stability of unidirectionally interconnected mimo lti systems

Reference 24

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Observation 3f850606-3821-450f-93ac-5b34aa2c5d11 · outbound

This paper cites String stable inte- gral control design for vehicle platoons with distur- bances.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems String stable inte- gral control design for vehicle platoons with distur- bances

Reference 25

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Observation 8e06adcd-91c0-476f-9f97-b6479b988a84 · outbound

This paper cites On stochastic string stability with applications to platooning over addi- tive noise channels.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems On stochastic string stability with applications to platooning over addi- tive noise channels

Reference 26

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Observation dba765f7-ccca-4218-ac3a-e55792ecd0b7 · outbound

This paper cites String stabil- ity of energy-saving aircraft formations.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems String stabil- ity of energy-saving aircraft formations

Reference 27

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Observation f9af472f-63e6-4732-b1c2-d4d942bb366d · outbound

This paper cites Multiobjective h∞ control for string stability of cooperative adaptive cruise con- trol systems.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Multiobjective h∞ control for string stability of cooperative adaptive cruise con- trol systems

Reference 28

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Observation 8000dbb0-6f7c-42cc-970d-52160a4bdba0 · outbound

This paper cites Data-driven analysis for disturbance amplification in car-following behavior of automated vehicles.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Data-driven analysis for disturbance amplification in car-following behavior of automated vehicles

Reference 29

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Observation 5adf3542-2add-4edb-91a6-65c09db19ef8 · outbound

This paper cites Safe control with learned certificates: A survey of neural lyapunov, barrier, and contraction methods for robotics and control.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Safe control with learned certificates: A survey of neural lyapunov, barrier, and contraction methods for robotics and control

Reference 30

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Observation dd0ea1e2-4d03-4f2e-a232-a1cac1dd693e · outbound

This paper cites Model-free safe re- inforcement learning through neural barrier cer- tificate.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Model-free safe re- inforcement learning through neural barrier cer- tificate

Reference 31

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Observation b47b4da3-91f7-4d29-9d0e-d5be16ba6a96 · outbound

This paper cites Synthesizing barrier certificates using neu- ral networks.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Synthesizing barrier certificates using neu- ral networks

Reference 32

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Observation d780e3b3-856b-422c-a96d-94b23d988690 · outbound

This paper cites Learning a formally verified control barrier function in stochas- tic environment.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Learning a formally verified control barrier function in stochas- tic environment

Reference 33

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Observation 2c013613-e5da-4e5a-8a44-1c59245dd76e · outbound

This paper cites Simultaneous synthesis and verification of neural control barrier functions through branch-and-bound verification- in-the-loop training.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Simultaneous synthesis and verification of neural control barrier functions through branch-and-bound verification- in-the-loop training

Reference 34

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Observation b90bc464-0e3c-44f2-8610-ac81b5689aa7 · outbound

This paper cites Exact verification of relu neural control barrier functions.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Exact verification of relu neural control barrier functions

Reference 35

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Observation 9d1ac305-8484-48e7-a80a-d9ce1ebc26c2 · outbound

This paper cites Data-driven verification and synthesis of stochastic systems via barrier certifi- cates.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Data-driven verification and synthesis of stochastic systems via barrier certifi- cates

Reference 36

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Observation 8bd5125d-efb5-42db-b08e-6d95892589a8 · outbound

This paper cites Safe reach set computation via neural barrier certificates.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Safe reach set computation via neural barrier certificates

Reference 37

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Observation 72ff6e63-14ed-43a8-ac42-2e956f3c1521 · outbound

This paper cites Verification of neural control barrier functions with symbolic derivative bounds propaga- tion.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Verification of neural control barrier functions with symbolic derivative bounds propaga- tion

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Observation bb74c367-c3a0-44b9-ab90-ea5f1662b247 · outbound

This paper cites Gcbf+: A neural graph control barrier function framework for distributed safe multi-agent control.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Gcbf+: A neural graph control barrier function framework for distributed safe multi-agent control

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source=pdf_text observed=2026-08-04T18:14:37.301673Z digest=sha256:f1537eb4cef0b59971c572d566491423e6877fca23316942033b354ce6dacfb4

Observation 375ee664-4740-40b9-b8d1-7b2e649f36dd · outbound

This paper cites Counterexample-guided computation of polyhedral 13 lyapunov functions for piecewise linear systems.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Counterexample-guided computation of polyhedral 13 lyapunov functions for piecewise linear systems

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Observation 3e158e78-180b-4269-b63d-6ff77fa7dfcc · outbound

This paper cites Stability analy- sis of switched linear systems with neural lyapunov functions.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Stability analy- sis of switched linear systems with neural lyapunov functions

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Observation 50c3d7ba-529f-49ab-97ca-6b8362b2100d · outbound

This paper cites Physics-informed neural network lyapunov functions: Pde characterization, learning, and verification.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Physics-informed neural network lyapunov functions: Pde characterization, learning, and verification

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source=pdf_text observed=2026-08-04T18:14:37.552176Z digest=sha256:5e7dabfc38250f832f30048195e5201040827e9fae5a9bd9838220e5f74196e8

Observation c9830002-637d-4693-97be-367539299cd7 · outbound

This paper cites Certified training: Small boxes are all you need.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Certified training: Small boxes are all you need

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source=pdf_text observed=2026-08-04T18:14:37.587371Z digest=sha256:b61c856a99bbed8755b3881782d86a89a3e3bcc6d0ed934a6edf5cff8cbf9a00

Observation 2831f6fa-ac14-48be-b82e-afc8e5876a94 · outbound

This paper cites On adaptive attacks to ad- versarial example defenses.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems On adaptive attacks to ad- versarial example defenses

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source=pdf_text observed=2026-08-04T18:14:37.637646Z digest=sha256:23af3499d63241d215e0c4754939bdba717d9eef437a0b43860ce3a4f6513bc8

Observation 19f916df-1cd1-46d3-ba97-d53fcdbd41de · outbound

This paper cites Beta-crown: Efficient bound propagation with per- neuron split constraints for neural network robust- ness verification.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Beta-crown: Efficient bound propagation with per- neuron split constraints for neural network robust- ness verification

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source=pdf_text observed=2026-08-04T18:14:37.704352Z digest=sha256:4eb1d64b275a3c18edd014a9a72cc455df01dfa0f8e80aa6633b44951c604b15

Observation eb173b07-1f5b-43f8-8a3d-629910adfd7d · outbound

This paper cites Marabou 2.0: a versatile formal analyzer of neural networks.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Marabou 2.0: a versatile formal analyzer of neural networks

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source=pdf_text observed=2026-08-04T18:14:37.778617Z digest=sha256:2fb695e5da7b322d700ddf2eb74a292d53d628bd4ab6bc96b7f74348615e71ea

Observation e3a97e6b-2cf1-447d-8f5b-5edb4944519c · outbound

This paper cites Nnv 2.0: the neural network verification tool.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Nnv 2.0: the neural network verification tool

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Observation 55c164de-f3c3-40fa-a799-4485dfbc9f03 · outbound

This paper cites A novel counterexample-guided inductive synthe- sis framework for barrier certificate generation.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems A novel counterexample-guided inductive synthe- sis framework for barrier certificate generation

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source=pdf_text observed=2026-08-04T18:14:37.965938Z digest=sha256:30a8de25683682b4920ae480a74bbca584881dabc4823667e4b42a1b4a2631bb

Observation 244a4033-611f-444a-94fe-ea23f863ebb0 · outbound

This paper cites Eclipse: Effi- cient compositional lipschitz constant estimation for deep neural networks.Advances in Neural Infor- mation Processing Systems, 37:10414–10441, 2024.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Eclipse: Effi- cient compositional lipschitz constant estimation for deep neural networks.Advances in Neural Infor- mation Processing Systems, 37:10414–10441, 2024

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Observation 7dcc3828-7f8d-49b6-9d88-d8b2579ec50c · outbound

This paper cites an unresolved cited work.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Unresolved cited work

Reference 50

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source=pdf_text observed=2026-08-04T18:14:38.146385Z digest=sha256:fa9f22b244dda4d0ca639f8e9b9c48d9e97ae8f9b8dc6668859a6c9fdb2f6ef6

Observation 330924a2-9c62-4b92-b766-1d696b9bd2ae · outbound

This paper cites Automatic Perturba- tion Analysis for Scalable Certified Robustness and Beyond.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Automatic Perturba- tion Analysis for Scalable Certified Robustness and Beyond

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source=pdf_text observed=2026-08-04T18:14:38.217159Z digest=sha256:0c21f629710445f01537595dc7b55f3a8ffa48cf135839e669055aa068d0d030

Observation cb8e312e-955e-4cf1-83fc-34c5661c510d · outbound

This paper cites Lomuscio.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Lomuscio

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source=pdf_text observed=2026-08-04T18:14:38.277559Z digest=sha256:1aa11c60198cd8b8150b16717a0ab7627fedd18dde18d10a41e8a73596193166

Observation 3b0800a8-538c-4f2d-96e6-127b039518aa · outbound

This paper cites Input convex neural networks.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Input convex neural networks

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source=pdf_text observed=2026-08-04T18:14:38.323551Z digest=sha256:fb97ec9a81c4e166b00b1545fb65c39eb8a1b62c51d1d680444f53dcbd5f78d8

Observation 8dc90ce2-2f75-4186-9355-180b6b0a5a72 · outbound

This paper cites Full ve- locity difference model for a car-following theory.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Full ve- locity difference model for a car-following theory

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source=pdf_text observed=2026-08-04T18:14:38.363482Z digest=sha256:b57664c86591f6b39e0b4b3e032da44116032f9b2d4bb3a167c4b89999752fe0

Observation 05717a9a-523b-44a0-b216-99d1e9e74be6 · outbound

This paper cites A compendium of compar- ison function results.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems A compendium of compar- ison function results

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source=pdf_text observed=2026-08-04T18:14:38.439689Z digest=sha256:89588c8ef3f7917c3b3cb5574d10dfceb78c40ecbe50bd913f631f2e0784c087

Observation 1b329024-3f14-4c06-a0ad-fa4e231a8ae0 · outbound

This paper cites Contemporary abstract algebra.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Contemporary abstract algebra

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source=pdf_text observed=2026-08-04T18:14:38.512776Z digest=sha256:935c8456b49f3b1b8e259cf4c1bf7e2b4f56f6378c2c761f43d25f3ba4cd2475

Observation 64f48278-4519-46a1-9c98-d695ba34821d · outbound

This paper cites The quickhull algorithm for convex hulls.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems The quickhull algorithm for convex hulls

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source=pdf_text observed=2026-08-04T18:14:38.562290Z digest=sha256:6414295f9f26a7104828221e72935fab7daf410f21c5b312902c7a67f6cfa759

Observation 7a74483d-bfcd-4c27-b504-c1a26bdc0436 · outbound

This paper cites an unresolved cited work.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Unresolved cited work

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source=pdf_text observed=2026-08-04T18:14:38.623059Z digest=sha256:fc182929e4aab2274bd487c337cadecbc88cf6a29f49a23dd980ed572d6fd9af

Observation c56979c2-7c8e-415d-b0eb-7c9538bb76a7 · outbound

This paper cites Then, the small-gain condition is satisfied, and by Eq.

Scalable Synthesis and Verification of String Stable Neural Certificates for Interconnected Systems Then, the small-gain condition is satisfied, and by Eq

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