Lyapunov stability and wave analysis of Covid-19 omicron variant of real data with fractional operator [PDF]
Alexandria Engineering Journal, 2022 Xu C +6 more
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On Lyapunov Stability of Positive and Conservative Time Integrators and Application to Second Order Modified Patankar-Runge-Kutta Schemes [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2022 Since almost twenty years, modified Patankar–Runge–Kutta (MPRK) methods have proven to be efficient and robust numerical schemes that preserve positivity and conservativity of the production-destruction system irrespectively of the time step size chosen.
Thomas Izgin, S. Kopecz, A. Meister
semanticscholar +1 more source
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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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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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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A Discussion on the Existence of Smooth Lyapunov Functions for Continuous Stable Systems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2021 Lyapunov's theorem is the basic criteria to establish the stability properties of the nonlinear dynamical systems. In this method, it is a necessity to find the positive definite functions with negative definite or negative semi-definite derivative ...
Majid Akbarian, Naser Pariz
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Stability of the Vallis System
Современные информационные технологии и IT-образование, 2022 In this paper, a variational method is proposed for obtaining the necessary (and sufficient) stability conditions for perturbed solutions of the system of Vallis equations.
Vladimir Nefedov +2 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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Stability of the Lorentz System
Современные информационные технологии и IT-образование, 2021 In this paper, a variational method is proposed for obtaining the necessary (and sufficient) stability conditions for perturbed solutions of the system of Lorentz equations.
Vasiliy Tikhomirov +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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