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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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Proceedings ArticleDOI

Stability of Time-Delay Systems with Non-Small Delay

TL;DR: This paper is dedicated to the stability of linear time-delay system for a non small delay h and the methodology is totally new and the resulting LMI formulas are original contributions.
Journal ArticleDOI

Event-triggered H ∞ filter design for delayed neural network with quantization

TL;DR: This paper investigates the problem of H∞ filter design for a class of event-triggered neural network systems with quantization by using Lyapunov functional and linear matrix inequality (LMI) techniques and some delay-dependent stability conditions for the existence of the desired filter are obtained.
Journal ArticleDOI

Stabilization of uncertain linear distributed delay systems with dissipativity constraints

TL;DR: By constructing a Liapunov–Krasovskii functional related to the distributed kernels, sufficient conditions for the existence of a state feedback controller which stabilizes the uncertain distributed delay systems with dissipativity constraints are given in terms of linear matrix inequalities (LMIs).
Journal ArticleDOI

Asymptotic Regulation of Time-Delay Nonlinear Systems With Unknown Control Directions

TL;DR: The proposed dynamic state feedback compensators are shown to guarantee 1) global asymptotic convergence of the system state to the origin and 2) global boundedness of the resulting closed-loop systems.
Journal ArticleDOI

L 2 disturbance attenuation for a class of time-delay Hamiltonian systems

TL;DR: The authors investigate the case that there are time-invariant uncertainties belonging to some convex bounded polytypic domain and an L2 disturbance attenuation control law is proposed and a sufficient condition is proposed for the asymptotically stability of the closed-loop system.
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.