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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

Brief paper: Exponential stabilization controller design for interconnected time delay systems

TL;DR: It is shown that the designed decentralized continuous adaptive controller makes the solutions of the closed-loop system exponentially convergent to a ball, which can be rendered arbitrary small by adjusting design parameters.
Journal ArticleDOI

Memory feedback controller design for stochastic Markov jump distributed delay systems with input saturation and partially known transition rates

TL;DR: In this article, a state memory feedback controller is designed to guarantee that the resulting closed-loop constrained systems are mean-square stochastic asymptotically stable, and sufficient conditions for the solution to this problem are derived in terms of linear matrix inequalities.
Journal ArticleDOI

Improved delay-dependent stabilisation criteria for discrete systems with a new finite sum inequality

TL;DR: In this paper, a finite sum inequality was proposed for delay-dependent stability analysis and controller synthesis for a discrete system with an interval time-varying input delay, and a piecewise Lyapunov-Krasovskii functional was constructed to deal with sum items in the derivation of the results.
Journal ArticleDOI

Stability analysis for control systems with aperiodically sampled data using an augmented Lyapunov functional method

TL;DR: In this article, the stability of aperiodically sampled-data control systems with and without communication delays is analyzed using a new augmented Lyapunov functional method, which has zero value and zero derivative, and several stability criteria with less conservatism are obtained from the relaxation of constraint conditions for guaranteeing the nonnegativeness of the LKF.
Journal ArticleDOI

Stabilization analysis of time-delay Hamiltonian systems in the presence of saturation

TL;DR: Sufficient conditions are derived by using Lyapunov–Krasovskii functional theorem to guarantee the systems as well as the resulted closed-loop systems by output feedback to be asymptotically stable when input saturation effectively occurs.
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.