Results 21 to 30 of about 2,005 (225)
Discretization schemes for Lyapunov-Krasovskii functionals in time-delay systems [PDF]
, 2001 summary:This article gives an overview of discretized Lyapunov functional methods for time-delay systems. Quadratic Lyapunov–Krasovskii functionals are discretized by choosing the kernel to be piecewise linear.
Gu, Keqin
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Advances in Difference Equations, 2007 Stochastic difference second-kind Volterra equation with continuous time and small nonlinearity is considered. Via the general method of Lyapunov functionals construction, sufficient conditions for uniform mean square summability of solution ...
Beatrice Paternoster, Leonid Shaikhet
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Stabilization of stochastic functional differential systems by steepest descent feedback controls
IET Control Theory & Applications, 2021 The mean‐square exponential stabilization and stochastically asymptotical stabilization for a class of stochastic functional differential systems is studied.
Xuetao Yang, Quanxin Zhu
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Lyapunov - Кrasovskii functionals for homogeneous systems with multiple delays
, 2021 In this article, explicit constructions of Lyapunov - Кrasovskii functionals are proposed for homogeneous systems with multiple constant delays and homogeneity degree of the right- hand sides strictly greater than one.
Zhabko, Аlexey Р. +1 more
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Abstract and Applied Analysis, 2013 We investigate a class of multigroup epidemic models with general exposed distribution and nonlinear incidence rates. For a simpler case that assumes an identical natural death rate for all groups, and with a gamma distribution for exposed distribution ...
Ling Zhang, Jingmei Pang, Jinliang Wang
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A discrete logarithmic function and Lyapunov function
JSIAM Letters, 2022 Summary: The Lyapunov function plays an important role in the stability theory of dynamical systems. Its counterpart for discrete dynamical systems is not studied so much, though importance of such systems is increasing. In this letter, an attempt is made to construct a discrete analog of the Lyapunov function for the competitive Lotka-Volterra ...
Isojima, Shin, Suzuki, Seiichiro
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On Vector Lyapunov Functions [PDF]
Proceedings of the American Mathematical Society, 1971 It has been proved that the use of a vector Lyapunov function is more advantageous in certain situations rather than a scalar function. Moreover, each function needs to satisfy less rigid requirements. In this paper a new situation has been considered where vector Lyapunov functions play a further useful role. For this purpose, a new type of stability,
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Computation and Verification of Lyapunov Functions [PDF]
SIAM Journal on Applied Dynamical Systems, 2015 Summary: Lyapunov functions are an important tool to determine the basin of attraction of equilibria in Dynamical Systems through their sublevel sets. Recently, several numerical construction methods for Lyapunov functions have been proposed, among them the RBF (Radial Basis Function) and CPA (Continuous Piecewise Affine) methods.
Peter Giesl, Sigurdur F. Hafstein
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Some stability and boundedness criteria for a class of Volterra integro-differential systems
Electronic Journal of Qualitative Theory of Differential Equations, 2002 Using Lyapunov and Lyapunov-like functionals, we study the stability and boundedness of the solutions of a system of Volterra integrodifferential equations.
Jito Vanualailai
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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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