نتایج جستجو برای: lyapunov krasovskii functionals

تعداد نتایج: 26921  

Journal: :Systems & Control Letters 2015
Alexandre Seuret Frédéric Gouaisbaut

Assessing stability of time-delay systems based on the Lyapunov-Krasovskii functionals has been the subject of many contributions. Most of the results are based, first, on the design of more and more involved class of functionals and, finally, on the use of the famous Jensen’s inequality. In contrast with this design process, the present paper aims at providing a generic set of integral inequal...

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...

Journal: :iranian journal of fuzzy systems 2014
r. sathy p. balasubramaniam r. chandran

in this paper, we investigate the delay-dependent robust stability of fuzzy cohen-grossberg neural networks with markovian jumping parameter and mixed time varying delays by delay decomposition method. a new lyapunov-krasovskii functional (lkf) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...

Journal: :Nonlinear Analysis: Hybrid Systems 2021

In this work, stability analysis for a class of switched nonlinear time-delay systems is performed by applying Lyapunov–Krasovskii and Lyapunov–Razumikhin approaches. It assumed that each subsystem in the family homogeneous (of positive or negative degree) asymptotically stable delay-free setting. The cases existence common multiple functionals function are explored. scenarios with synchronous ...

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
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 ...

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...

2012
Ruliang Wang Jie Li J. LI

In this thesis, Some adaptive neural control design ways are presented for a class of multi-input multi-output (MIMO) nonlinear systems in block-triangular form with disturbance input and state time-varying delay. Neural networks are employed to approximate the unknown continuous functions. By combining the use of a novel quadratictype Lyapunov-Krasovskii functionals and adaptive NN backsteppin...

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