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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

Exponential stability analysis for uncertain switched neutral systems with interval-time-varying state delay

TL;DR: In this article, the global exponential stability for a class of switched neutral systems with interval-time-varying state delay and two classes of perturbations is investigated, and the Razumikhin-like approach and the Leibniz-Newton formula are used to find the stability conditions.
Journal ArticleDOI

Stability Crossing Set for Systems With Three Delays

TL;DR: This article provides a method of explicit and complete parameterization and geometric characterization of the stability crossing set of linear systems with three delays and provides a powerful method of finding parameter regions of stable systems.
Journal ArticleDOI

Delay-dependent robust H∞ controller synthesis for discrete singular delay systems

TL;DR: In this paper, the problems of delay-dependent robust stability analysis, robust stabilization, and robust H∞ control for uncertain discrete-time singular systems with state delay are investigated.
Journal ArticleDOI

Brief paper: On delay-derivative-dependent stability of systems with fast-varying delays

TL;DR: For the first time, delay-derivative-dependent frequency domain and time domain stability criteria are derived for systems with the delay derivative greater than 1.
Journal ArticleDOI

Output stabilization of time-varying input delay systems using interval observation technique

TL;DR: The output stabilization problem for a linear system with an unknown bounded time-varying input delay is considered and the interval observation technique is applied in order to obtain guaranteed interval estimate of the system state.
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.