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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 novel delay-dependent criterion for delayed neural networks of neutral type

TL;DR: In this paper, a robust stability analysis method for delayed neural networks of neutral type was proposed by constructing a new Lyapunov functional, and a novel delay-dependent criterion for the stability was derived in terms of LMIs (linear matrix inequalities).
Journal ArticleDOI

Time-Varying Input and State Delay Compensation for Uncertain Nonlinear Systems

TL;DR: In this paper, a robust controller is developed for uncertain, second-order nonlinear systems subject to simultaneous unknown, time-varying state delays and known, sufficiently small time-evariant input delays in addition to additive, sufficiently smooth disturbances.
Journal ArticleDOI

Stability analysis of uncertain fuzzy Hopfield neural networks with time delays

TL;DR: A novel LMI-based stability criterion is obtained by using Lyapunov functional theory to guarantee the asymptotic stability of TSFHNNs by introducing a parameterized model transformation with free weighting matrices to it, in order to obtain generalized stability region.
Journal ArticleDOI

Delay-dependent stability analysis and stabilization for discrete-time fuzzy systems with state delay: a fuzzy Lyapunov-krasovskii functional approach

TL;DR: This correspondence studies stability analysis and stabilization for discrete-time Takagi and Sugeno fuzzy systems with state delay by constructing a new fuzzy Lyapunov-Krasovskii functional to derive a delay-dependent stability condition.
Journal ArticleDOI

Decentralized Networked Control System Design Using T–S Fuzzy Approach

TL;DR: A new memoryless control scheme with the use of the decomposition for each subsystem that is based on the input matrix and proves the stability of the resultant closed-loop system for the both cases.
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.