Results 11 to 20 of about 108,486 (247)
Stability of time-varying systems in the absence of strict Lyapunov functions [PDF]
, 2019 When a non-linear system has a strict Lyapunov function, its stability can be studied using standard tools from Lyapunov stability theory. What happens when the strict condition fails?
Ikhouane, Fayçal +1 more
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An analysis of dynamic stability of an elastic column
Theoretical and Applied Mechanics Letters, 2018 : By the Lyapunov direct method, dynamic stability of two conservative systems of finite degrees of freedom with one parameter is analyzed. Two Lyapunov functions are proposed for the two systems, respectively.
M. Jin
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Lyapunov stability for piecewise affine systems via cone-copositivity [PDF]
, 2017 Cone-copositive piecewise quadratic Lyapunov functions (PWQ-LFs) for the stability analysis of continuous-time piecewise affine (PWA) systems are proposed.
Iervolino, Raffaele +2 more
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Robust Stability for Impulsive Systems With Polytope Uncertainties
IEEE Access, 2019 This paper is concerned with robust stability for impulsive systems with polytope uncertainties. At first, the stability for impulsive systems without uncertainties is addressed by employing a Lyapunov-like functional.
Hanyong Shao, Wenjing Wang
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Lyapunov Functions Family Approach to Transient Stability Assessment [PDF]
, 2015 Analysis of transient stability of strongly nonlinear post-fault dynamics is one of the most computationally challenging parts of Dynamic Security Assessment. This paper proposes a novel approach for assessment of transient stability of the system.
Turitsyn, Konstantin, Vu, Thanh Long
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Feedback Stabilization and Lyapunov Functions [PDF]
SIAM Journal on Control and Optimization, 2000 The authors consider the problem of finding a feedback stabilizing law \(x \to k(x)\) associated with a control system \(x'(t) = f(x(t),u(t))\). Using the concept of positional strategies introduced in the framework of differential games by Krasovskii and Subbotin in 1988, assuming the existence of a Lyapunov Lipschitz function \(V\) defined on the ...
Clarke, F.H. +3 more
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On asymptotic output stability for delay differential systems [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of this study is to obtain sufficient conditions for output asymptotic stability of nonlinear nonautonomous time-delay systems described by ordinary differential equations.
Sedova, Natalia Olegovna
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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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Further Results on Strict Lyapunov Functions for Rapidly Time-Varying Nonlinear Systems [PDF]
, 2006 We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting dynamics ...
de Queiroz, Marcio S. +2 more
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Stochastic Stability Analysis of Discrete Time System Using Lyapunov Measure
, 2016 In this paper, we study the stability problem of a stochastic, nonlinear, discrete-time system. We introduce a linear transfer operator-based Lyapunov measure as a new tool for stability verification of stochastic systems.
Vaidya, Umesh
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