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Stability of Time-Delay Systems
TLDR
Preface, Notations 1.Introduction to Time-Delay Systems I.Robust Stability Analysis II.Input-output stability A.LMI and Quadratic Integral Inequalities Bibliography IndexAbstract:
Preface, Notations 1.Introduction to Time-Delay Systems I.Frequency-Domain Approach 2.Systems with Commensurate Delays 3.Systems withIncommensurate Delays 4.Robust Stability Analysis II.Time Domain Approach 5.Systems with Single Delay 6.Robust Stability Analysis 7.Systems with Multiple and Distributed Delays III.Input-Output Approach 8.Input-output stability A.Matrix Facts B.LMI and Quadratic Integral Inequalities Bibliography Indexread more
Citations
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Journal ArticleDOI
A Survey of Recent Results in Networked Control Systems
TL;DR: This work reviews several recent results on estimation, analysis, and controller synthesis for NCSs, and addresses channel limitations in terms of packet-rates, sampling, network delay, and packet dropouts.
Journal ArticleDOI
Reciprocally convex approach to stability of systems with time-varying delays
TL;DR: This paper suggests the lower bound lemma for such a combination, which achieves performance behavior identical to approaches based on the integral inequality lemma but with much less decision variables, comparable to thosebased on the Jensen inequalityLemma.
Journal ArticleDOI
Wirtinger-based integral inequality: Application to time-delay systems
TL;DR: An alternative inequality based on the Fourier Theory, more precisely on the Wirtinger inequalities is proposed and it is shown that this resulting inequality encompasses the Jensen one and also leads to tractable LMI conditions.
Journal ArticleDOI
A new delay system approach to network-based control
TL;DR: A sampled-data networked control system with simultaneous consideration of network induced delays, data packet dropouts and measurement quantization is modeled as a nonlinear time-delay system with two successive delay components in the state and the problem of network-based H"~ control is solved accordingly.
Journal ArticleDOI
Technical Communique: Delay-dependent criteria for robust stability of time-varying delay systems
TL;DR: Some new delay-dependent stability criteria are devised by taking the relationship between the terms in the Leibniz-Newton formula into account, which are less conservative than existing ones.
References
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Book ChapterDOI
Oscillations in Singularly Perturbed Delay Equations
TL;DR: In this paper, the scalar singularly perturbed differentila delay equation has been studied and some recent results on the problem have been presented, e.g., in the context of the delay equation.
Proceedings ArticleDOI
Delay-dependent stability of linear systems with delayed state: an LMI approach
TL;DR: In this article, the problem of asymptotic stability of a class of time-delay systems with constant, but unknown, time delay was solved using the Razumikhin technique.
Journal ArticleDOI
Uniform ultimate boundedness of the solutions of uncertain dynamic delay systems with state-dependent and memoryless feedback control†
TL;DR: In this paper, a continuous feedback controller is developed for a class of non-linear, time-varying, uncertain systems governed by functional differential equations with retarded arguments, which guarantees that under certain assumptions all solutions are uniformly bounded in norm for time t sufficiently largo in spite of the uncertainty in system parameters and input signals.
Journal ArticleDOI
Discretized Lyapunov functional for systems with distributed delay and piecewise constant coefficients
TL;DR: In this article, the stability problem for systems with distributed delay is considered using discretized Lyapunov functional, where coefficients associated with the distributed delay are assumed to be piecewise constant, and the discretization mesh may be non-uniform.
Journal ArticleDOI
Stability independent and dependent of delay for delay differential systems
D. Hertz,E.I. Jury,Ezra Zeheb +2 more
TL;DR: In this article, modified equivalent conditions for stability independent of delay of retarded and neutral delay differential systems are provided. And a new test procedure is presented to obtain the intervals of delay for which the system is asymptotically stable.