Lyapunov–razumikhin theorem
Web19 apr. 2024 · Razumikhin-like theorems on hyperexponential and fixed-time stability of time-delay systems are proposed for both explicitly and implicitly defined Lyapunov … Webplicit theorem, linear matrix inequalities, Lyapunov-Razumikhin theorem, time-delay systems I. INTRODUCTION Stability analysis of time-delay systems is usually made by …
Lyapunov–razumikhin theorem
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Web28 feb. 2024 · We present generalised Lyapunov-Razumikhin techniques for establishing global asymptotic stability of steady-state solutions of scalar delay differential equations. … Web1 iul. 2024 · By using stochastic analysis techniques, Razumikhin techniques and vector Lyapunov function method, vector Razumikhin-type theorem has been established on …
WebThis paper studies stability properties of stochastic switched nonlinear time-delay systems. The stability analysis is based on two extensions of the Lyapunov-based method: the … WebThe main theorem is established in terms of the time average of the control gain by using the Lyapunov-Razumikhin theorem. Moreover, the proposed framework encompasses some general intermittent control schemes, such as the switched control gain with external disturbance and intermittent control with pulse-modulated gain function, while some ...
WebOne existing classical method for analyzing stability of such systems is the Razumikhin-type theorem with requiring the time derivative of relating Lyapunov function to be non … Web1 apr. 2024 · Exponential Stability in Lyapunov Razumikhin Theorem. 1. Lyapunov Stability Analysis. 1. Necessity of the hypotheses of Lyapunov asymptotic stability theorem. 1. Nonlinear Stability via Lyapunov Functions. Hot Network Questions Simple variation on a Trie for prefix search in a large list of words
WebBy using stochastic analysis techniques, Razumikhin techniques and vector Lyapunov function method, vector Razumikhin-type theorem has been established on input-to …
Web22 ian. 2024 · Using quadratic Lyapunov functions and Razumikhin technique, Liu discussed the synchronization of coupled chaotic delay systems, which could be applied to chaos-based secure communication systems . ... In Sect. 3, a theorem about \(\mu \)-stability under hybrid impulses and unbounded delays is presented and rigorously … luswabi davidWebRazumikhin theorem is employed to derive the sufficient delay-dependent and delay-independent conditions respectively for the global uniform asymptotic stability of the … lusvardi mircoWebA. Lyapunov-Razumikhin theorem for interconnected sys-tems In this subsection we state the first main result of this paper, the ISS Lyapunov-Razumikhin small-gain theorem for interconnected networks with time-delays. Definition 3.2: A locally Lipschitz continuous … lusus name generatorWeb1 iul. 2015 · Download PDF Abstract: We present Lyapunov stability and asymptotic stability theorems for steady state solutions of general state-dependent delay differential … luszo lightingWebFurthermore, to make the proposed method more suitable for the nonlinear control design, Implicit Lyapunov-Razumikhin theorems have also been formulated. The advantage of … lusweimi heavy duty video camera tripodWeb13 dec. 2024 · Is there an exponential stability version of the Lyapunov-Razumikhin Theorem for retarded functional differential equations? i.e. analogous to ODEs, given a … lusy cizgi filmWebThe present paper is devoted to the problems of practical stability with respect to h-manifolds for impulsive control differential equations with variable impulsive perturbations. We will consider these problems in light of the Lyapunov–Razumikhin method of piecewise continuous functions. The new results are applied to an impulsive control … luta acelino popo