نتایج جستجو برای: krasovskii functionals

تعداد نتایج: 11428  

Journal: :Siam Journal on Control and Optimization 2021

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 29 July 2020Accepted: 18 May 2021Published online: 26 August 2021Keywordsinput-to-state stability, converse theorems, Lyapunov--Krasovskii functionals, retarded functional differential equations, switching systemsAMS Subject Headings34K20, 34K34, 34K35, 93C10, 93C30Public...

2001
Xiping Zhang Panagiotis Tsiotras Carl Knospe

This work provides one of the first attempts to derive computationally tractable criteria for analyzing the stability of Linear Parameter Varying (LPV) time-delayed systems. We present both delay-independent and delay-dependent stability conditions, which are derived using appropriately selected Lyapunov-Krasovskii functionals. According to the system parameter dependence, these functionals can...

2014
Liyuan Wang Shouming Zhong

In this paper, the design problem of state estimator for neural networks with the mixed time-varying delays are investigated by constructing appropriate Lyapunov-Krasovskii functionals and using some effective mathematical techniques. In order to derive several conditions to guarantee the estimation error systems to be globally exponential stable, we transform the considered systems into the ne...

2008
Tong Heng Lee Beibei Ren Shuzhi Sam Ge

In this paper, adaptive variable structure neural control is investigated for a class of SISO nonlinear systems in a Brunovsky form with state time-varying delays and unknown hysteresis input. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design. The effect of the unknown hysteresis with the Prandtl-Ishlinskii model is ...

2008
Valter J. S. Leite Márcio F. Miranda

Sufficient linear matrix inequality LMI conditions to verify the robust stability and to design robust state feedback gains for the class of linear discrete-time systems with time-varying delay and polytopic uncertainties are presented. The conditions are obtained through parameter-dependent Lyapunov-Krasovskii functionals and use some extra variables, which yield less conservative LMI conditio...

2017
Yuanshun Tan Sanyi Tang Jin Yang Zijian Liu

The present study considers the robust stability for impulsive complex-valued neural networks (CVNNs) with discrete time delays. By applying the homeomorphic mapping theorem and some inequalities in a complex domain, some sufficient conditions are obtained to prove the existence and uniqueness of the equilibrium for the CVNNs. By constructing appropriate Lyapunov-Krasovskii functionals and empl...

2007
Chien-Yu Lu Chin-Wen Liao Hsun-Heng Tsai Sheng-Hong Tsai Jui-Chuan Cheng

This paper deals with the problem of Passivity analysis for neural networks with multiple time-varying delays subject to norm-bounded time-varying parameter uncertainties. The activation functions are supposed to be bounded and globally Lipschitz continuous. New passivity conditions are proposed by using Lyapunov-Krasovskii functionals and the free–weighting matrix method to relax the existing ...

2014
Martin J. Bohner Ivanka M. Stamova

In this paper, a class of impulsive functional differential systems is investigated. It is proved that for the asymptotic stability of the zero solution of the system considered, it is sufficient that only some components of the right-hand side of the system are bounded for unbounded values of time. For functional differential equations without impulses, similar results were proved by Burton an...

Journal: :Eur. J. Control 2005
Emilia Fridman Uri Shaked

A delay-dependent solution is given for state-feedback H1 control of linear discrete-time systems with unknown constant or time-varying delays and with polytopic or norm-bounded uncertainties. Sufficient conditions are obtained for stability and for achieving design specifications which are based on Lyapunov– Krasovskii functionals via a descriptor representation of the system. Similarly to the...

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