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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

Asynchronous finite-time dynamic output feedback control for switched time-delay systems with non-linear disturbances

TL;DR: In this paper, an asynchronous finite-time dynamic output feedback control problem is concerned for switched time-delay systems with non-linear disturbances, and all the conditions are formulated in forms of a set of linear matrix inequalities which can be easily solved by using the interior point method.
Proceedings ArticleDOI

Stability analysis of systems with distributed delays and application to hematopoietic cell maturation dynamics

TL;DR: It is shown that stability analysis for this class of systems can be reduced to stability analysis of linear systems with discrete delays, for which many algorithms are available in the literature.
Journal ArticleDOI

A switching system approach to sensor and actuator assignment for stabilisation via limited multi-packet transmitting channels

TL;DR: A linear matrix inequality-based design method for dynamic output feedback controllers that are asymptotically stabilising and less conservative is derived using a model transformation technique and an improved Lyapunov–Krasovskii function.
Journal ArticleDOI

Mode-identifying time estimation and switching-delay tolerant control for switched systems

TL;DR: An elementary time unit (ETU) method is proposed to study the problem of estimating the admissible delay in the identification of the active mode in the analysis and design of switched systems.
Posted Content

Positive Forms and Stability of Linear Time-Delay Systems

TL;DR: In this article, the authors considered the problem of constructing Lyapunov functions for linear differential equations with delays and gave an explicit parametrization of a sequence of finite-dimensional subsets of the cone of positive Lyapinov functions using positive semidefinite matrices.
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.