Results 21 to 30 of about 3,031,723 (217)
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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Lyapunov stability for discontinuous systems
, 2020 The present work studies the stability analysis of equilibrium of ordinary differential equations with the discontinuous right side, also called discontinuous differential equations, using the notion of Caratheodory solution for differential equations ...
I. Santos
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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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On finite-time stability and stabilization of nonlinear hybrid dynamical systems
AIMS Mathematics, 2021 Finite time stability involving dynamical systems whose trajectories converge to a Lyapunov stable equilibrium state in finite time have been studied for both continuous-time and discrete-time systems.
Junsoo Lee, Wassim M. Haddad
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Computational Stability Analysis of Lotka-Volterra Systems
Hungarian Journal of Industry and Chemistry, 2016 This paper concerns the computational stability analysis of locally stable Lotka-Volterra (LV) systems by searching for appropriate Lyapunov functions in a general quadratic form composed of higher order monomial terms.
Polcz Péter, Szederkényi
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TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS
International Journal of Apllied Mathematics, 2019 We present a new inequality which involves the Caputo fractional derivative of the product of two continuously differentiable functions, and establish its various properties. The inequality and its properties enable us to construct potential time-varying
B. K. Lenka
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W-Stability of Multistable Nonlinear Discrete-Time Systems
Discrete Dynamics in Nature and Society, 2012 Motivated by the importance and application of discrete dynamical systems, this paper presents a new Lyapunov characterization which is an extension of conventional Lyapunov characterization for multistable discrete-time nonlinear systems. Based on a new
Zhishuai Ding, Guifang Cheng, Xiaowu Mu
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ActuatorsThis paper presents a unified Lyapunov-based predefined-time stability theorem that includes three sufficient conditions. The standard theoretical analysis method for achieving predefined-time stability of non-linear systems using this theorem is ...
Bing Xiao +4 more
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Abstract and Applied Analysis, 2011 We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, 𝜓-uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on ...
Kanit Mukdasai, Piyapong Niamsup
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Data‐Driven Distributed Safe Control Design for Multi‐Agent Systems
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents a data‐driven control barrier function (CBF) technique for ensuring safe control of multi‐agent systems (MASs) with uncertain linear dynamics. A data‐driven quadratic programming (QP) optimization is first developed for CBF‐based safe control of single‐agent systems using a nonlinear controller. This approach is then extended to the
Marjan Khaledi, Bahare Kiumarsi
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