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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

Overview of recent advances in stability of linear systems with time-varying delays

TL;DR: In this article, the authors provide an overview and in-depth analysis of recent advances in stability of linear systems with time-varying delays, including stability criteria for three cases of a time varying delay.
Journal ArticleDOI

A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function

TL;DR: A new function which consisted of two quadratic functions with a special structural matrix is established to be a Lyapunov functional candidate to decrease the conservatism of derived conditions.
Journal ArticleDOI

Switching-Like Event-Triggered Control for Networked Control Systems Under Malicious Denial of Service Attacks

TL;DR: This article investigates the switching-like event-triggered control for networked control systems (NCSs) under the malicious denial of service (DoS) attacks and a networked invert pendulum on a cart is conducted to show the effectiveness of the proposed method.
Journal ArticleDOI

Technical communique: A delay-partitioning approach to the stability analysis of discrete-time systems

TL;DR: By utilizing the delay partitioning idea, new stability criteria are proposed in terms of linear matrix inequalities (LMIs) based on a novel Lyapunov functional, which establishes that the conservatism of the conditions is a non-increasing function of the number of partitions.
Journal ArticleDOI

Delay-Dependent Stability Criteria of Teleoperation Systems With Asymmetric Time-Varying Delays

TL;DR: This paper shows that the master-slave teleoperation system is stable under specific linear-matrix-inequality (LMI) conditions by choosing Lyapunov-Krasovskii functional and can be used to compute the allowable maximal transmission delay.
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.