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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

H ∞ filter design for discrete delay systems: a new parameter-dependent approach

TL;DR: This article revisits the problem of H ∞ filtering for discrete-time systems with a time-varying delay in the state and parameter uncertainties residing in a polytope by utilising the polynomially parameter-dependent idea, and formulates the existence of admissible robust H∞ filters into a set of linear matrix inequalities.
Proceedings ArticleDOI

Truncated predictor feedback control for exponentially unstable linear systems with time-varying input delay

TL;DR: The truncated predictor feedback design method is extended and it is shown that, for the stability of the closed-loop system, the maximum allowable time-delay in the input is inversely proportional to the sum of the unstable poles in the plant.
Journal ArticleDOI

Impulsive synchronization of chaotic systems subject to time delay

TL;DR: In this paper, the synchronization of coupled chaotic systems with time delay by means of impulsive control is studied, and some criteria on synchronization of such chaotic systems are established utilizing quadratic Lyapunov functions and differential inequalities in the spirit of the well-known Razumikhin technique.
Journal ArticleDOI

Dynamics of Neural Systems with Discrete and Distributed Time Delays

TL;DR: In order to analyze the fundamental properties of neural networks with time-delayed connections, this work considers a system of two coupled two-dimensional nonlinear delay differential equations that represents a neural network, where one subsystem receives a delayed input from another subsystem.
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.