نتایج جستجو برای: lyapunov krasovskii functionals

تعداد نتایج: 26921  

Journal: :Systems & Control Letters 2003
Silviu-Iulian Niculescu Anuradha M. Annaswamy

This paper addresses the control of time-delay systems whose relative degree does not exceed two. An adaptive Smith controller together with an adaptive law similar to the delay-free case is proposed. By using Lyapunov-Krasovskii functionals for an appropriate model transformation of the original system, semiglobal stability of the closed-loop system and asymptotic convergence of the output err...

Journal: :Automatica 2011
Xianfu Zhang Qingrong Liu Luc Baron El Kebir Boukas

This paper investigates the problem of global strong stabilization by state feedback, for a family of high order feedforward nonlinear time-delay systems. The uncertain nonlinearities are assumed to satisfy a polynomial growth assumption with an input or delayed input dependent rate. With the help of the appropriate Lyapunov-Krasovskii functionals, and a rescaling transformation with a gain to ...

Journal: :Automatica 2022

This paper studies the stabilization and safety problems of nonlinear time-delay systems. Following both Razumikhin Krasovskii approaches, we propose novel control Lyapunov functions/functionals for problem barrier problem. The proposed extend existing ones from delay-free case to case, allow designing stabilizing controllers in closed-form. Since analytical solutions optimal are hard be achiev...

2014
Fatima El Haoussi El Houssaine Tissir Hassan Satori Fernando Rico Tadeo F. Tadeo

Abstract This paper studies the robust stability of teleoperation systems based on the 2-channel force-force (FF) control architecture, modelled by frequency domain or passivity techniques. More precisely, delay-dependent conditions are given as LMIs derived from Lyapunov-Krasovskii functionals. We show that the teleoperation systems are stable under specific LMI conditions. This stability is g...

Journal: :Systems & Control Letters 2012
Daniel Alejandro Melchor-Aguilar

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t In this paper, we consider some classes of linear continuous time difference systems with discrete and distr...

Journal: :Automatica 2017
Kun Liu Alexandre Seuret Yuanqing Xia

This paper is concerned with the delay-dependent stability of systems with time-varying delays. The novelty relies on the use of the second-order Bessel-Legendre integral inequality which is less conservative than the Jensen and Wirtinger-based inequalities. Unlike similar contributions, the features of this inequality are fully integrated into the construction of augmented Lyapunov-Krasovskii ...

2006
Renxin Zhong

This paper deals with the problem of stability and robust control for both certain and uncertain continuous-time singular systems with state delay. Systems with norm-bounded parameter uncertainties are considered. Robust delay-dependent stability criteria and linear memoryless state feedback controllers based on linear matrix inequality are obtained. By choosing some Lyapunov-Krasovskii functio...

2015
Zhaojian Li Xunyuan Yin Xiang Yin Yi Xie Changhong Wang

This paper is concerned with distributed H∞ filtering for a class of continuous-time linear plants over sensor networks with multiple communication channels (MCCs). A practical framework is presented to optimize communication over MCCs with uncertain delays and switching characteristics. The channel switching is assumed to follow a continuous-time Markov chain and a Markov jump linear system (M...

2013
Jian Sun Qing-Long Han Jie Chen Guo-Ping Liu

The problem of the stability of a linear system with an interval time-varying delay is investigated. A new Lyapunov–Krasovskii functional that fully uses information about the lower bound of the time-varying delay is constructed to derive new stability criteria. It is proved that the proposed Lyapunov–Krasovskii functional can lead to less conservative results than some existing ones. Based on ...

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