Journal ArticleDOI
Technical communique: Improved stability criterion and its applications in delayed controller design for discrete-time systems
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TLDR
The reduced conservatism of the proposed stability result is shown through a numerical example, while the applicability of the time-delayed controller design method is demonstrated by an inverted pendulum system.About:
This article is published in Automatica.The article was published on 2008-11-01. It has received 186 citations till now. The article focuses on the topics: Circle criterion & Stability criterion.read more
Citations
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Journal ArticleDOI
Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality
TL;DR: This technical note is concerned with the stability analysis of discrete linear systems with time-varying delays and the consideration of a new inequality which is less conservative than the celebrated Jensen inequality employed in the context of discrete-time delay systems.
Journal ArticleDOI
A New Model Transformation of Discrete-Time Systems With Time-Varying Delay and Its Application to Stability Analysis
Xianwei Li,Huijun Gao +1 more
TL;DR: A new comparison model is proposed by employing a new approximation for delayed state, and then lifting method and simple Lyapunov-Krasovskii functional method are used to analyze the scaled small gain of this comparison model.
Journal ArticleDOI
Abel lemma-based finite-sum inequality and its application to stability analysis for linear discrete time-delay systems
Xian-Ming Zhang,Qing-Long Han +1 more
TL;DR: It is shown through numerical examples that the stability criterion can provide a larger admissible maximum upper bound than stability criteria using a Jensen-type inequality approach and a free-weighting matrix approach.
Journal ArticleDOI
New Stability Criteria for Linear Discrete-Time Systems With Interval-Like Time-Varying Delays
Hanyong Shao,Qing-Long Han +1 more
TL;DR: Two new stability criteria are derived by constructing a new Lyapunov functional and utilizing two novel techniques for estimating the forward difference of the Lyap Unov functional, which are less conservative than some existing ones.
Journal ArticleDOI
Dissipativity Analysis and Synthesis for Discrete-Time T–S Fuzzy Stochastic SystemsWith Time-Varying Delay
TL;DR: This paper is concerned with the problems of dissipativity analysis and synthesis for discrete-time Takagi-Sugeno fuzzy systems with stochastic perturbation and time-varying delay with model transformation method combined with Lyapunov-Krasovskii technique.
References
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Journal ArticleDOI
A cone complementarity linearization algorithm for static output-feedback and related problems
TL;DR: This paper describes a linear matrix inequality (LMI)-based algorithm for the static and reduced-order output-feedback synthesis problems of nth-order linear time-invariant (LTI) systems with n/sub u/ and n/ sub y/) independent inputs (respectively, outputs).
Journal ArticleDOI
Technical communique: Delay-range-dependent stability for systems with time-varying delay
TL;DR: The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyap unov functional, which take into account the range of delay.
Journal ArticleDOI
A delay-dependent stability criterion for systems with uncertain time-invariant delays
TL;DR: A new delay-dependent robust stability criterion for systems with time-invariant uncertain delays is derived, which is shown by an example less conservative than existing stability criteria.
Journal ArticleDOI
New Results on Stability of Discrete-Time Systems With Time-Varying State Delay
Huijun Gao,Tongwen Chen +1 more
TL;DR: Several new conditions are obtained for the asymptotic stability of discrete-time systems with time-varying state delay by defining new Lyapunov functions and by making use of novel techniques to achieve delay dependence.
Journal ArticleDOI
Robust H/sub infinity / control for linear systems with norm-bounded time-varying uncertainty
Lihua Xie,E. de Souza Carlos +1 more
TL;DR: In this article, a robust H/sub infinity / control design for linear systems with uncertainty in both the state and input matrices is treated, and a state feedback control design which stabilizes the plant and guarantees an H/ sub infinity /-norm bound constraint on disturbance attenuation for all admissible uncertainties is presented.
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