Pith Number

pith:KJ46DGTY

pith:2026:KJ46DGTYE335TV7I4WH2RYG6ET

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Bounded-Input True Proportional Navigation for Impact-Time Control

Abhinav Sinha, Lohitvel Gopikannan, Shashi Ranjan Kumar

A sliding-mode guidance law based on true proportional navigation intercepts constant-velocity targets at a prescribed time while respecting known acceleration bounds.

arxiv:2605.13669 v1 · 2026-05-13 · eess.SY · cs.RO · cs.SY · math.DS

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4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Based on the sliding mode control technique, an effective guidance law that achieves time-constrained interception while accounting for bounded input is then derived.

C2weakest assumption

The target moves at constant velocity with no maneuvers; the interceptor acceleration is modeled as a first-order dynamic variable whose bound is known a priori.

C3one line summary

A sliding-mode true proportional navigation law is derived that enforces impact-time constraints for non-maneuvering targets under bounded acceleration.

References

26 extracted · 26 resolved · 0 Pith anchors

[1] Impact angle guidance using state-dependent (differential) riccati equation: Unified applicability analysis, 2020

[2] Finite-horizon robust suboptimal control- based impact angle guidance, 1955

[3] Impact-time-control guidance law for anti-ship missiles, 2006

[4] Impact-time-control guidance with generalized proportional navigation based on nonlinear formulation, 2016

[5] Distributed guidance law design for cooperative simultaneous attacks with multiple missiles, 2016

Receipt and verification

First computed	2026-05-18T02:44:17.206756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5279e19a7826f7d9d7e8e58fa8e0de24e3e2aee6756e11b3f4c08eb2a6d3dd74

Aliases

arxiv: 2605.13669 · arxiv_version: 2605.13669v1 · doi: 10.48550/arxiv.2605.13669 · pith_short_12: KJ46DGTYE335 · pith_short_16: KJ46DGTYE335TV7I · pith_short_8: KJ46DGTY

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KJ46DGTYE335TV7I4WH2RYG6ET \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5279e19a7826f7d9d7e8e58fa8e0de24e3e2aee6756e11b3f4c08eb2a6d3dd74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "562afd6fbae020800bdb47f0c6eba99fe534e5f41de0c72fcd03cd5421bda944",
    "cross_cats_sorted": [
      "cs.RO",
      "cs.SY",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-05-13T15:29:44Z",
    "title_canon_sha256": "21ee37519624949001061f4d41dc55ece442eaae58a200ac4c121196d65622a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13669",
    "kind": "arxiv",
    "version": 1
  }
}