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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 Index
Abstract
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 Index

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Citations
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Journal ArticleDOI

Stabilization of Delay Systems: Delay-Dependent Impulsive Control

TL;DR: It is shown that time delays in impulse term may contribute to the stabilization of delay systems, and an impulsive delay inequality is proposed which applies to the delay systems which may be originally unstable, and derive some delay-dependent impulsive control criteria to ensure the stabilize of the addressed systems.
Journal ArticleDOI

Hierarchy of LMI conditions for the stability analysis of time-delay systems☆

TL;DR: The present paper aims at providing a generic set of integral inequalities which are asymptotically non conservative and then to design functionals driven by these inequalities, which form a hierarchy of LMI which is competitive with the most efficient existing methods.
Journal ArticleDOI

A survey of linear matrix inequality techniques in stability analysis of delay systems

TL;DR: The purpose of this article is to survey the recent results developed to analyse the asymptotic stability of time-delay systems and give special emphases to the issues of conservatism of the results and computational complexity.
Journal ArticleDOI

Stabilization of switched continuous-time systems with all modes unstable via dwell time switching

TL;DR: A sufficient condition ensuring the asymptotic stability of switched continuous-time systems with all modes unstable is proposed, using a discretized Lyapunov function approach in the framework of dwell time.
Journal ArticleDOI

A Dynamic Event-Triggered Transmission Scheme for Distributed Set-Membership Estimation Over Wireless Sensor Networks

TL;DR: The proposed dynamic ETS is applied to address the distributed set-membership estimation problem for a discrete-time linear time-varying system with a nonlinearity satisfying a sector constraint.
References
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Book

The Nature of Statistical Learning Theory

TL;DR: Setting of the learning problem consistency of learning processes bounds on the rate of convergence ofLearning processes controlling the generalization ability of learning process constructing learning algorithms what is important in learning theory?
Book

Computers and Intractability: A Guide to the Theory of NP-Completeness

TL;DR: The second edition of a quarterly column as discussed by the authors provides a continuing update to the list of problems (NP-complete and harder) presented by M. R. Garey and myself in our book "Computers and Intractability: A Guide to the Theory of NP-Completeness,” W. H. Freeman & Co., San Francisco, 1979.
Book

Matrix computations

Gene H. Golub
Book

Matrix Analysis

TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.