SFKD combines a fiber-bundle latent manifold, environment-conditioned Koopman operators, and contraction-constrained residuals to certify input-to-state stability while improving path-tracking performance under variable conditions.
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A Koopman observer for nonlinear systems is made stability-certified by mapping its error dynamics to generalized Persidskii systems and solving an LMI for the gain that ensures ISS under model mismatch and noise.
Presents an equilibrium-free contraction stability method for GFM converter microgrids via symmetry-aware projection and blockwise Jacobian decomposition, yielding forward-invariant certificates for autonomous and disturbed operation.
A system-theoretic framework smooths nonsmooth hydraulics in arbitrary water networks to enable local well-posedness analysis, regularization, linearization error bounds, stability, and controllability quantification while matching EPANET simulations.
Delay-dependent ISS conditions via Lyapunov-Krasovskii LMIs plus a stability-constrained Koopman observer yield 35% lower velocity RMSE and 67% better speed tracking than EKF and FOC on a PMSM drive.
CRGD augments the objective with a penalty on negative Hessian eigenvalues to create a Lyapunov function guaranteeing convergence to second-order stationary points at user-selectable rates.
A general framework for multi-agent control that achieves decentralization without dynamical coupling and provides convergence guarantees for time-varying objectives, demonstrated on formation control, coverage, and safe navigation.
citing papers explorer
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Stable Fiber-Koopman Residual Dynamics for Environment-Constrained Robust Control
SFKD combines a fiber-bundle latent manifold, environment-conditioned Koopman operators, and contraction-constrained residuals to certify input-to-state stability while improving path-tracking performance under variable conditions.
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Stability-Certified Koopman Observer Design for Nonlinear Systems via Generalized Persidskii Dynamics
A Koopman observer for nonlinear systems is made stability-certified by mapping its error dynamics to generalized Persidskii systems and solving an LMI for the gain that ensures ISS under model mismatch and noise.
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Equilibrium-Free Contraction Stability Analysis for Grid-Forming Converter-Based Microgrids
Presents an equilibrium-free contraction stability method for GFM converter microgrids via symmetry-aware projection and blockwise Jacobian decomposition, yielding forward-invariant certificates for autonomous and disturbed operation.
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Nonsmooth Hydraulics, Smooth Control: System Theory Framework for Analyzing Water Networks
A system-theoretic framework smooths nonsmooth hydraulics in arbitrary water networks to enable local well-posedness analysis, regularization, linearization error bounds, stability, and controllability quantification while matching EPANET simulations.
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Stability Analysis and Data-Driven State Estimation for Generalized Persidskii Systems with Time Delays: Theory and Experimental Validation on PMSM Drives
Delay-dependent ISS conditions via Lyapunov-Krasovskii LMIs plus a stability-constrained Koopman observer yield 35% lower velocity RMSE and 67% better speed tracking than EKF and FOC on a PMSM drive.
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Saddle Point Evasion via Curvature-Regularized Gradient Dynamics
CRGD augments the objective with a penalty on negative Hessian eigenvalues to create a Lyapunov function guaranteeing convergence to second-order stationary points at user-selectable rates.
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Disentangled Control of Multi-Agent Systems
A general framework for multi-agent control that achieves decentralization without dynamical coupling and provides convergence guarantees for time-varying objectives, demonstrated on formation control, coverage, and safe navigation.