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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

Brief paper: A refined input delay approach to sampled-data control

TL;DR: Novel time-dependent Lyapunov functionals in the framework of the input delay approach are introduced, which essentially improve the existing results and can guarantee the stability under the sampling which may be greater than the analytical upper bound on the constant delay that preserves the stability.
Journal ArticleDOI

Technical communique: Delay-range-dependent stability for systems with time-varying delay

TL;DR: The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyap unov functional, which take into account the range of delay.
Journal ArticleDOI

State feedback controller design of networked control systems

TL;DR: A new model of NCSs is provided under consideration of both the network-induced delay and the data packet dropout in the transmission and a controller design method is proposed based on a delay dependent approach.
Journal ArticleDOI

Networked control system: a brief survey

TL;DR: In this article, a survey on networked control systems (NCSs) is presented, and a simple framework and some general formulations for the study of NCSs are proposed.
Journal ArticleDOI

New Results on Stability of Discrete-Time Systems With Time-Varying State Delay

TL;DR: Several new conditions are obtained for the asymptotic stability of discrete-time systems with time-varying state delay by defining new Lyapunov functions and by making use of novel techniques to achieve delay dependence.
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.