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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

A semi-free weighting matrices approach for neutral-type delayed neural networks

TL;DR: In this paper, a new approach is proposed for stability issues of neutral-type neural networks (DNNs) with constant delay, where semi-free weighting matrices are proposed and used instead of the known free weighting matrix to express the relationship between the terms in the Leibniz-Newton formula to simplify the system synthesis and to obtain less computation demand.
Journal ArticleDOI

A novel stabilization condition for a class of T-S fuzzy time-delay systems

TL;DR: A well-know numerical example and a truck-trailer example are given to demonstrate that the proposed stabilization condition can provide a longer allowable delay time than some existing studies.
Journal ArticleDOI

Delay-independent stability of homogeneous systems

TL;DR: It is proved that the asymptotic stability of the zero solution of the system is preserved for an arbitrary continuous nonnegative and bounded delay and the conditions of stability of time-delay systems by homogeneous approximation are obtained.
Journal ArticleDOI

Model Order Reduction of Time-Delay Systems Using a Laguerre Expansion Technique

TL;DR: A higher order Krylov subspace algorithm for model order reduction of time-delay systems based on a Laguerre expansion technique is proposed and validated by means of real world numerical examples.
Journal ArticleDOI

Delayed sliding mode control

TL;DR: By substituting this new "sign" realization in the conventional sliding mode algorithms the main advantages of the sliding mode tools are preserved, and the rate of convergence to the origin is much faster than any exponential.
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.