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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

Lyapunov Methods for Time-Invariant Delay Difference Inclusions

TL;DR: It is proved that a DDI is $\mathcal{KL}$-stable if and only if it admits a Lyapunov-Razumikhin function (LRF) and it is shown that an LRF induces a family of sets with certain contraction properties that are particular to time-delay systems.
Proceedings ArticleDOI

The scattering transformation for networked control systems

TL;DR: A stability condition is derived relaxing this restriction such that also non-passive plants can be stabilized in NCS and the performance of the proposed approach is superior over two standard approaches, the Smith predictor and PI control in the presence of time delay uncertainties.
Journal ArticleDOI

Predictor based control of linear systems with state, input and output delays

TL;DR: A predictor-based controller for linear systems with state, input and output delays and can stabilize the delay system if a stabilizing state feedback control law exists for the input delay free system.
Proceedings ArticleDOI

Stability analysis for systems with time-varying delay: Trajectory based approach

TL;DR: This work uses a contraction lemma, and a Lyapunov function for an undelayed system, to provide a new method to prove stability of linear continuous-time, time-varying systems with time- varying bounded delays, and proves input-to-state stability under disturbances.
Journal ArticleDOI

A novel approach to periodic event-triggered control: Design and application to the inverted pendulum.

TL;DR: Experimental results show a significant improvement with respect to periodic control in the number of control actions for the rotary inverted pendulum.
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.