Results 51 to 60 of about 111,531 (189)
Lyapunov function search method for analysis of nonlinear systems stability using genetic algorithm
Научно-технический вестник информационных технологий, механики и оптикиA wide class of smooth continuous dynamic nonlinear systems (control objects) with a measurable state vector is considered. The problem of finding a special function (Lyapunov function), which guarantees asymptotic stability for the presented class of ...
A. M. Zenkin +2 more
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Input-to-state stability of infinite-dimensional control systems
, 2012 We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. We show that for certain classes of admissible inputs the existence of an ISS-Lyapunov function implies the input-to-state stability of a system.
AM Turing +25 more
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Journal of Applied Mathematics, 2013 The problem of pth mean exponential stability and stabilizability of a class of stochastic nonlinear and bilinear hybrid systems with unstable and stable subsystems is considered.
Ewelina Seroka, Lesław Socha
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A Lyapunov Function For Logistic Equation On Time Scales
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In this study we focus on the stability of dynamic logistic equation which is used in single species population dynamics. Here we have introduced a quadratic Lyapunov function for generalized dynamic logistic equation on time scales.
Veysel Fuat Hatipoğlu
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A Lyapunov Function and Global Stability for a Class of Predator-Prey Models
Discrete Dynamics in Nature and Society, 2012 We construct a new Lyapunov function for a class of predation models. Global stability of the positive equilibrium states of these systems can be established when the Lyapunov function is used.
Xiaoqin Wang, Huihai Ma
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Lyapunov matrices approach to the parametric optimization of time-delay systems
Archives of Control Sciences, 2015 In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Józef
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Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems
Wasit Journal for Pure SciencesThe main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov function.
Hind Adnan Hashim
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Transactions of the American Mathematical Society, 2018 Since \textit{C. Conley}'s work [Ergodic Theory Dyn. Syst. 8, 11--26 (1988; Zbl 0687.58033); Isolated invariant sets and the Morse index. Providence, RI: American Mathematical Society (AMS) (1978; Zbl 0397.34056)], which showed the strong relation between Lyapunov functions and chain-recurrence, Lyapunov functions are also used to study general ...
Fathi, Albert, Pageault, Pierre
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Epidemiological Models and Lyapunov Functions [PDF]
Mathematical Modelling of Natural Phenomena, 2007 Summary: We give a survey of results on global stability for deterministic compartmental epidemiological models. Using Lyapunov techniques we revisit a classical result, and give a simple proof. By the same methods we also give a new result on differential susceptibility and infectivity models with mass action and an arbitrary number of compartments ...
A. Fall, A. +3 more
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Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays
Archives of Control Sciences, 2016 In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with two commensurate delays and a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of the
Duda Jozef
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