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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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Proceedings ArticleDOI

Stability analysis of networked control systems with asynchronous sampling and input delay

TL;DR: The proposed method provides easy tractable sufficient conditions for asymptotic stability of sampled-data systems under asynchronous sampling and transmission delays and expresses period and delay-dependent conditions using computable linear matrix inequalities.
Journal ArticleDOI

Robust exponential H∞ control for uncertain time-varying delay systems with input saturation: A Markov jump model approach

TL;DR: The problem is to design a robust state feedback controller which can switch with time-varying delay in terms of Markov process, such that the system is exponentially mean-square stable with disturbance attenuation γ .
Journal ArticleDOI

Novel Inequalities to Global Mittag–Leffler Synchronization and Stability Analysis of Fractional-Order Quaternion-Valued Neural Networks

TL;DR: Two distinct methods have been employed to solve the transformation of the studied systems of FOQVNNs, which dissatisfy the commutativity of quaternion multiplication and have their unique superiorities.
Journal ArticleDOI

Anti-windup Compensator Synthesis for Sampled-Data Delay Systems

TL;DR: By incorporating Lyapunov–Krasovskii functional, Jensen’s integral inequality and Wirtingers integral inequality, some sufficient conditions are obtained via LMI formulation that guarantee the stability of the closed-loop system, and enlarge the estimation of domain of attraction.
Journal ArticleDOI

Symbolic models for time-varying time-delay systems via alternating approximate bisimulation

TL;DR: In this article, the authors propose an approach to the control design of nonlinear control systems with unknown and time-varying delay signals based on the construction of symbolic models, which are abstract descriptions of dynamical systems where one symbolic state and one symbolic input correspond to an aggregation of states and an aggregate of inputs.
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.