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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

Static output feedback stabilization: necessary conditions for multiple delay controllers

TL;DR: This note focuses on the static output feedback stabilization problem for a class of single-input-single-output systems when the control law includes multiple (distinct) delays.
Journal ArticleDOI

State feedback controller design of networked control systems with interval time-varying delay and nonlinearity

TL;DR: In this paper, the authors proposed a robust state feedback controller design of networked control systems with interval time-varying delay and nonlinearity, and derived the maximum allowable delay bound and the feedback gain of a memoryless controller.
Journal ArticleDOI

Further Results on Delay-Dependent Stability of Multi-Area Load Frequency Control

TL;DR: In this article, a new stability criterion based on Lyapunov theory and the linear matrix inequality technique is proposed to improve calculation accuracy and to reduce computation time, which makes it suitable for handling with multi-area LFC schemes.
Journal ArticleDOI

An Exact Method for Computing Delay Margin for Stability of Load Frequency Control Systems With Constant Communication Delays

TL;DR: In this paper, an analytical method to determine delay margins, the upper bound on the delay for stability, was proposed to determine the delay-dependency of system stability and root tendency with respect to the time delay.
Journal ArticleDOI

Brief paper: Delay-dependent stability for discrete systems with large delay sequence based on switching techniques

TL;DR: A new method based on a switching technique is presented to solve the exponential stability problem for a class of discrete time-varying delay systems with large delay sequences (LDSs), and the criterion obtained includes the established one as a special case.
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.