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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

Leader-following consensus of multi-agent systems via sampled-data control with randomly missing data

TL;DR: New delay-dependent consensus conditions for the concerned system are derived in the form of linear matrix inequalities (LMIs) which can be readily solved by utilizing any of the valid software packages.
Journal ArticleDOI

Stability analysis of sampled-data systems considering time delays and its application to electric power markets

TL;DR: A systematic analysis method is presented, a less conservative stability criterion is derived based on Lyapunov theory, and the application to an electric power market shows the practical significance of the reducing of the conservativeness.
Journal ArticleDOI

Distributed backstepping based control of multiple UAV formation flight subject to time delays

TL;DR: A backstepping-based, distributed formation control method that is stable independent of time delays in communication among multiple unmanned aerial vehicles (UAVs) is proposed and the stability criterion is delay-independent.
Journal ArticleDOI

Affine formation maneuver control of high-order multi-agent systems over directed networks

TL;DR: This paper provides and proves a sufficient and necessary condition of achieving the directed graphical affine localizability, and it only needs that the leaders have a generic configuration and the followers are accessible to the subset of leaders.
Journal ArticleDOI

Stabilisation for switched linear systems with time-varying delay and input saturation

TL;DR: This article investigates the stabilisation problems for continuous-time and discrete-time switched systems with time-varying delay and saturated control input with results for linear time-delay systems and switched delay-free 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.