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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

Universal adaptive regulation for a class of nonlinear systems with unknown time delays and output function via output feedback

TL;DR: A universal adaptive output feedback control law is designed to globally regulate all the states of the system by employing the idea of universal control and the backstepping method.
Journal ArticleDOI

A State Observer for a Class of Nonlinear Systems with Multiple Discrete and Distributed Time Delays

TL;DR: It is proved that a suitable gain can be easily chosen such that the observation error goes to zero exponentially, with arbitrarily fixed decay rate.
Journal ArticleDOI

Strong Stability of Neutral Equations with an Arbitrary Delay Dependency Structure

TL;DR: In this paper, the effects of small feedback delays on the stability of a boundary controlled hyperbolic partial differential equation and of a control system involving state derivative feedback are analyzed, and necessary and sufficient conditions for strong stability are derived along with bounds on the spectrum, taking into account the precise dependency structure of the delays.
Proceedings ArticleDOI

Time-delay effect on load frequency control for microgrids

TL;DR: The time-delay effect on load frequency control (LFC) for power smart grids systems based on microgrids (MGs) is analyzed and a new cyber-physical modeling approach is used to identify system signals that are vulnerable to communication constraints.
Journal ArticleDOI

Stability analysis of discrete-time switched systems with time-varying delays via a new summation inequality

TL;DR: In this paper, a new summation inequality was proposed to improve the conservatism in the stability analysis for discrete-time systems with time-varying delay, and the proposed inequality was applied to a stability problem in discrete time switched systems.
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.