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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

Nonlinear time-delay anti-windup compensator synthesis for nonlinear time-delay systems

TL;DR: This paper addresses the novel architectures' formulation and linear matrix inequality (LMI)-based design of dynamic nonlinear anti-windup compensator (AWC) for nonlinear time-delay systems with continuous interval time-varying delays under input saturation.
Journal ArticleDOI

Consensus problem in multi-agent systems under delayed information

TL;DR: Study of the consensus problem of first-order multi-agent systems with unknown communication delay finds that when the network topology is undirected, the delay is allowed to be time-varying.
Journal ArticleDOI

Spectral approximations for characteristic roots of delay differential equations

TL;DR: In this paper, the spectral tau and spectral least squares approach were used to develop approximations to the characteristic roots of delay differential equations, and the influence of different choices of basis functions in the spectral solution on the numerical convergence of the characteristic root was studied.
Journal ArticleDOI

Boundary Observers for a Reaction–Diffusion System Under Time-Delayed and Sampled-Data Measurements

TL;DR: Finite-dimensional observers are constructed for a one-dimensional reaction–diffusion system with boundary measurements subject to time-delays and data sampling and it is shown how many modes one should use to achieve a desired rate of convergence.
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.