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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 Review of Some Subtleties of Practical Relevance for Time-Delay Systems of Neutral Type

TL;DR: In this article, the authors review some subtleties in time-delay systems of neutral type that are believed to be of particular relevance in practice, including the sensitivity of Smith predictor to small delay mismatch, and the discrete implementation of distributed-delay feedback control.
Journal ArticleDOI

Advanced Clustering With Frequency Sweeping Methodology for the Stability Analysis of Multiple Time-Delay Systems

TL;DR: A new methodology, advanced clustering with frequency sweeping (ACFS), is introduced for the stability analysis of the most general class of linear time-invariant time-delay systems with multiple delays.
Journal ArticleDOI

Global synchronization in arrays of coupled networks with one single time-varying delay coupling

TL;DR: In this article, a general linear coupled network with a time-varying coupling delay is proposed and its global synchronization is further discussed, and sufficient criteria are derived based on Lyapunov functional and linear matrix inequality.
Journal ArticleDOI

Finite-time robust stochastic synchronization of uncertain Markovian complex dynamical networks with mixed time-varying delays and reaction–diffusion terms via impulsive control

TL;DR: New synchronization criteria for the networks are established in terms of linear matrix inequalities (LMIs), which can be checked numerically using the effective LMI toolbox in MATLAB.
Journal ArticleDOI

A decoupled controller design approach for formation control of autonomous underwater vehicles with time delays

TL;DR: In this article, the orientation control and the translation control are first decoupled following a standard inner-outer loop approach, and then a geometric approach is followed to separate the translation dynamics into formation shape dynamics and formation center dynamics.
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.