Results 11 to 20 of about 15,223 (231)
A New Example on Lyapunov Stability [PDF]
Journal of Dynamics and Differential Equations, 2021 The purpose of this paper is to present an example of an Ordinary Differential Equation $x'=F(x)$ in the infinite-dimensional Hilbert space $\ell^2$ with $F$ being of class $\mathcal{C}^1$ in the Fréchet sense, such that the origin is an asymptotically stable equilibrium point but the spectrum of the linearized operator $DF(0)$ intersects the half ...
Hildebrando M. Rodrigues +1 more
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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 ...
Francis H. Clarke +3 more
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Stabilization, Lyapunov functions, and dissipation [PDF]
Systems & Control Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rapisarda, Paolo, Kojima, Chiaki
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Optimal Stabilization Using Lyapunov Measures [PDF]
IEEE Transactions on Automatic Control, 2008 Numerical solutions for the optimal feedback stabilization of discrete time dynamical systems is the focus of this paper. Set-theoretic notion of almost everywhere stability introduced by the Lyapunov measure, weaker than conventional Lyapunov function-based stabilization methods, is used for optimal stabilization.
Arvind U. Raghunathan, Umesh Vaidya
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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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Lyapunov Characterizations of Input to Output Stability [PDF]
SIAM Journal on Control and Optimization, 2000 This paper presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key role in the analysis of the input to state stability property, and the results given here extend their validity to the case when the output, but not necessarily the entire ...
Eduardo D. Sontag, Yuan Wang 0005
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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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Lyapunov Stability of Complementarity and Extended Systems [PDF]
SIAM Journal on Optimization, 2007 A linear complementarity system (LCS) is a hybrid dynamical system defined by a linear time-invariant ordinary differential equation coupled with a finite-dimensional linear complementarity problem (LCP). The present paper is the first of several papers whose goal is to study some fundamental issues associated with an LCS.
M. Kanat Camlibel +2 more
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
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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