Results 11 to 20 of about 3,224,849 (346)
Lyapunov stability of the subgradient method with constant step size [PDF]
Mathematical programming, 2022 We consider the subgradient method with constant step size for minimizing locally Lipschitz semi-algebraic functions. In order to analyze the behavior of its iterates in the vicinity of a local minimum, we introduce a notion of discrete Lyapunov ...
C. Josz, Lexiao Lai
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Lyapunov stability tests for linear time-delay systems [PDF]
Annual Reviews in Control, 2022 An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proof are presented in details for the case of systems with multiple delays.
Sabine Mondi'e, A. Egorov, M. A. Gómez
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Direct data-driven model-reference control with Lyapunov stability guarantees [PDF]
IEEE Conference on Decision and Control, 2021 We introduce a novel data-driven model-reference control design approach for unknown linear systems with fully measurable state. The proposed control action is composed by a static feedback term and a reference tracking block shaped from data to ...
V. Breschi +3 more
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Neural Lyapunov Control of Unknown Nonlinear Systems with Stability Guarantees [PDF]
Neural Information Processing Systems, 2022 Learning for control of dynamical systems with formal guarantees remains a challenging task. This paper proposes a learning framework to simultaneously stabilize an unknown nonlinear system with a neural controller and learn a neural Lyapunov function to
Rui Zhou +3 more
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A Lyapunov Function for Robust Stability of Moving Horizon Estimation [PDF]
IEEE Transactions on Automatic Control, 2022 We provide a novel robust stability analysis for moving horizon estimation (MHE) using a Lyapunov function. In addition, we introduce linear matrix inequalities (LMIs) to verify the necessary incremental input/output-to-state stability ($\boldsymbol ...
J. Schiller +4 more
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IEEE Transactions on Circuits and Systems - II - Express Briefs, 2020 In this brief, a reinforcement learning-based control approach for nonlinear systems is presented. The proposed control approach offers a design scheme of the adjustable policy learning rate (APLR) to reduce the influence imposed by negative or large ...
Ming Chen, H. Lam, Qian Shi, Bo Xiao
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On reduction of differential inclusions and Lyapunov stability [PDF]
IEEE Conference on Decision and Control, 2017 In this paper, locally Lipschitz regular functions are utilized to identify and remove infeasible directions from differential inclusions. The resulting reduced differential inclusion is point-wise smaller (in the sense of set containment) than the ...
R. Kamalapurkar, W. Dixon, A. Teel
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Stability of time-varying systems in the absence of strict Lyapunov functions [PDF]
, 2019 When a non-linear system has a strict Lyapunov function, its stability can be studied using standard tools from Lyapunov stability theory. What happens when the strict condition fails?
Ikhouane, Fayçal +1 more
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Lyapunov Stability Analysis of a String Equation Coupled With an Ordinary Differential System [PDF]
IEEE Transactions on Automatic Control, 2017 This paper considers the stability problem of a linear time invariant system in feedback with a string equation. A new Lyapunov functional is proposed using augmented states that enriches and encompasses the classical functionals of the literature.
Matthieu Barreau +3 more
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Convergence of the Expectation-Maximization Algorithm Through Discrete-Time Lyapunov Stability Theory [PDF]
American Control Conference, 2018 In this paper, we propose a dynamical systems perspective of the Expectation-Maximization (EM) algorithm. More precisely, we can analyze the EM algorithm as a nonlinear state-space dynamical system.
O. Romero +2 more
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