نتایج جستجو برای: lyapunov functional

تعداد نتایج: 598581  

2006
Alexander Zemliak

The problem of analog system design for a minimal computer time has been formulated as the functional minimization problem of the control theory. The design process in this case is formulated as the controllable dynamic system. The optimal sequence of the control vector switch points was determined as a principal characteristic of the minimal-time system design algorithm. The different forms of...

Journal: :Physical review letters 1995
Bonasera Latora Rapisarda

We calculate the Lyapunov exponents in a classical molecular dynamics framework. Yukawa and Slater-Kirkwood forces are considered in order to give an equation of state that resembles the nuclear and the atomic He equation of state, respectively, near the critical point for liquid-gas phase transition. The largest Lyapunov exponents l are always positive and can be very well fitted near the “cri...

2014
Xiaowu Mu Yongliang Gao Bo Shen

This paper is concerned with the stability analysis and semistability theorems for delay impulsive systems having a continuum of equilibria. We relate stability and semistability to the classical concepts of system storage functions to impulsive systems providing a generalized hybrid system energy interpretation in terms of storage energy. We show a set of Lyapunov-based sufficient conditions f...

2009
ELBROUS M. JAFAROV

In this paper, the problem of sliding mode controller design for uncertain multi-input systems with several fixed state delays is addressed. A combined sliding mode controller is considered and it is designed for the stabilization of perturbed multi-input timedelay systems with matched parameter uncertainties and external disturbances. Delay-independent stability conditions are derived by using...

2010
Jinxing Lin Shumin Fei Jiong Shen

The problems of robust stability and stabilization via memoryless state feedback for a class of discrete-time switched singular systems with time-varying delays and linear fractional uncertainties are investigated. By constructing a novel switched Lyapunov–Krasovskii functional, a delay-dependent criterion for the unforced system to be regular, causal and uniformly asymptotically stable is esta...

2012
BING LI JUNFENG WU

In this paper, the problem of stability for networked control systems (NCSs) is investigated. Considering both the time-varying network-induced delay and data packet dropouts, NCSs are transformed into typical linear systems with interval time-varying delay. Based on the obtained model, a new delay-dependent stability criteria in terms of linear matrix inequalities (LMIs) is provided by constru...

2011
Jeong Wan Ko Won Il Lee PooGyeon Park

This paper deals with the problem of stability analysis for networked control systems via the time-delayed system approach. The network-induced delays are modeled as two additive time-varying delays in the closed-loop system. To check the stability of such particular featured systems, an appropriate Lyapunov-Krasovskii functional is proposed and the Jensen inequality lemma is applied to the int...

Journal: :Neurocomputing 2014
R. Rakkiyappan A. Chandrasekar Shanmugam Lakshmanan Ju H. Park

This paper deals with robust exponential stability of Markovian jumping stochastic Cohen–Grossberg neural networks (MJSCGNNs) with mode-dependent probabilistic time-varying delays, continuously distributed delays and impulsive perturbations. By construction of novel Lyapunov–Krasovskii functional having the triple integral terms, the double integral terms having the positive definite matrices d...

2017
Lucie Baudouin Emmanuelle Crépeau Julie Valein

This article concerns the nonlinear Korteweg-de Vries equation with boundary timedelay feedback. Under appropriate assumption on the coefficients of the feedbacks (delayed or not), we first prove that this nonlinear infinite dimensional system is well-posed for small initial data. The main results of our study are two theorems stating the exponential stability of the nonlinear time delay system...

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