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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

Synchronization control of switched linearly coupled neural networks with delay

TL;DR: A sufficient condition is derived to ensure the global synchronization of switched linearly coupled complex neural networks, which are controlled by some designed controllers, and a globally convergent algorithm involving convex optimization is presented to construct such controllers effectively.
Journal ArticleDOI

Novel Delay-Dependent Robust Stability Analysis for Switched Neutral-Type Neural Networks With Time-Varying Delays via SC Technique

TL;DR: The less conservative robust stability criteria for SNTNNs with time-varying delays are proposed by using a new Lyapunov-Krasovskii functional and a novel series compensation (SC) technique, and the simulation results demonstrate the effectiveness of the proposed criteria.
Journal ArticleDOI

An augmented model for robust stability analysis of time-varying delay systems

TL;DR: Stability analysis of linear systems with time-varying delay with Lyapunov–Krasovskii functionals is investigated to reduce the conservatism of the stability criterion.
Journal ArticleDOI

A nonsmooth optimisation approach for the stabilisation of time-delay systems

TL;DR: In this article, a bundle gradient optimisation (BGLO) algorithm is applied to the stabilisation of linear time-delay systems by tuning a finite number of parameters, where the objective is to minimize the real part of the rightmost characteristic root.
Journal ArticleDOI

A time delay model of tumour–immune system interactions: Global dynamics, parameter estimation, sensitivity analysis

TL;DR: A delay differential model to describe the interactions between the effector and tumour cells is presented and predicts dormancy as a transient period of growth which necessarily results in either tumour elimination or tumour escape.
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.