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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

Stability Analysis for Delayed Neural Networks With an Improved General Free-Matrix-Based Integral Inequality

TL;DR: An improved general free-matrix-based (FMB) integral inequality is proposed with an undetermined number of free matrix variables and a new stability condition is derived for neural networks with a time-varying delay.
Journal ArticleDOI

Predictor-based networked control under uncertain transmission delays

TL;DR: It is shown that even a small controller-to-actuators delay uncertainty may lead to a non-small residual error in a networked control system and how to analyze such systems is revealed.
Journal ArticleDOI

Event-triggered H∞ state estimation for semi-Markov jumping discrete-time neural networks with quantization.

TL;DR: This paper investigates H∞ state estimation problem for a class of semi-Markovian jumping discrete-time neural networks model with event-triggered scheme and quantization with a novel communication framework employed by the logarithmic quantizer that quantifies and reduces the data transmission rate in the network.
Journal ArticleDOI

Connected Automated Vehicle Platoon Control With Input Saturation and Variable Time Headway Strategy

TL;DR: An important actuator constraint and a more effective spacing strategy are embedded into the connected automated vehicle platoon control and a new consensus-based control approach with the input saturation and variable time headway (VTH) spacing strategy is proposed.
Proceedings ArticleDOI

Positive Forms and Stability of Linear Time-Delay Systems

TL;DR: An explicit parametrization of a finite-dimensional subset of the cone of Lyapunov functions of this class of functions is given, enforced using sum-of-squares polynomial matrices, allowing the computation to be formulated as a semidefinite program.
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.