Results 31 to 40 of about 3,135,504 (227)
Lyapunov Functionals in Integral Equations
Axioms, 2023 Lyapunov functions/functionals have found their footing in Volterra integro-differential equations. This is not the case for integral equations, and it is therefore further explored in this paper. In this manuscript, we utilize Lyapunov functionals combined with Laplace transform to qualitatively analyze the solutions of the integral equation In ...
Youssef N. Raffoul, Joseph Raffoul
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Learning lyapunov functions for hybrid systems [PDF]
Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control, 2021 We propose a sampling-based approach to learn Lyapunov functions for a class of discrete-time autonomous hybrid systems that admit a mixed-integer representation. Such systems include autonomous piecewise affine systems, closed-loop dynamics of linear systems with model predictive controllers, piecewise affine/linear complementarity/mixed-logical ...
Shaoru Chen +4 more
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Lyapunov stability analysis of higher-order 2D systems
, 2010 We prove a necessary and sufficient condition for the asymptotic stability of a 2D system described by a system of higher-order linear partial difference equations.
Paolo Rapisarda +8 more
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Global dynamics on a class of age-infection structured cholera model with immigration
Electronic Journal of Qualitative Theory of Differential Equations, 2023 This paper is concerned with a class of age-structured cholera model with general infection rates. We first explore the existence and uniqueness, dissipativeness and persistence of the solutions, and the existence of the global attractor by verifying ...
Xin Jiang, Ran Zhang
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Error analysis of QR algorithms for computing Lyapunov exponents [PDF]
, 2001 Lyapunov exponents give valuable information about long term dynamics. The discrete and continuous QR algorithms are widely used numerical techniques for computing approximate Lyapunov exponents, although they are not yet supported by a general error ...
McDonald, E.J., Higham, D.J.
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Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper stands for the almost sure practical stability of nonlinear stochastic differential delay equations (SDDEs) with a general decay rate. We establish some sufficient conditions based upon the construction of appropriate Lyapunov functionals ...
Tomas Caraballo +2 more
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Guaranteed Cost Control for a Class of Nonlinear Discrete Time-Delay Systems
IEEE Access, 2019 The guaranteed cost control problem for a class of nonlinear discrete time-delay systems is investigated. Based on the Lyapunov matrix, a complete-type Lyapunov-Krasovskii functional is constructed.
Lanhui Zhang +3 more
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Composite control Lyapunov functions for robust stabilization of constrained uncertain dynamical systems [PDF]
, 2013 This work presents innovative scientific results on the robust stabilization of constrained uncertain dynamical systems via Lyapunov-based state feedback control.
GRAMMATICO, SERGIO
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Lyapunov stability analysis of higher-order 2-D systems
We give necessary and sufficient conditions, based on the existence of a Lyapunov functional, for the asymptotic stability of a square autonomous 2-D behavior in the sense of ...
Kojima, Chiaki +2 more
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On boundedness, square integrability and uniform stability for neutral non autonomous third order differential equations with delay [PDF]
Mathematica BohemicaIn the study of the solutions for a given class of neutral third order differential equations with delay, a suitable conditions are given based on the Lyapunov second method by considering convenable Lyapunov functional to guarantee the uniform ...
Fatima Abdellaoui, Mebrouk Rahmane
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