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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

New stability and stabilization conditions for stochastic neural networks of neutral type with Markovian jumping parameters

TL;DR: First, delay-dependent conditions to guarantee the globally exponential stability in mean square and almost surely exponential stability of such systems are obtained by combining an appropriate constructed Lyapunov–Krasovskii functional with the semi-martingale convergence theorem.
Journal ArticleDOI

Stabilization of switched systems with all modes unstable via periodical switching laws

TL;DR: Based on the obtained stability conditions, an effective periodical switching law design strategy is proposed and compared with the existing strategies which analyze the stability based on the preset dwell time, the admissible dwell times for different subsystems can be calculated efficientlybased on the proposed stability conditions.
Journal ArticleDOI

Improved robust stability conditions for uncertain neutral systems with discrete and distributed delays

TL;DR: Using new augmented Lyapunov–Krasovskii (L–K) functional and some integral inequalities, the less conservative stability and robust stability conditions are well established in terms of linear matrix inequalities (LMIs).
Proceedings ArticleDOI

On the fragility of PI controllers for time-delay SISO systems

TL;DR: In this paper, the fragility analysis of PI-controllers for single-input-single-output (SISO) systems subject to input (or output) delays is presented.
Journal ArticleDOI

Cooperation of multiple mobile sensors with minimum energy cost for mobility and communication

TL;DR: A suboptimal solution is presented that guarantees minimum overall energy cost of mobility and communication for the sensors to achieve consensus and is extended to formation control problems with and without communication delays.
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.