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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

A new finite sum inequality approach to delay-dependent H∞ control of discrete-time systems with time-varying delay

TL;DR: In this paper, a new finite sum inequality was established to derive a delay-dependent condition, under which the resulting closed-loop system via a state feedback is asymptotically stable with a prescribed H∞ noise attenuation level.
Journal ArticleDOI

Noise tolerance leader-following of high-order nonlinear dynamical multi-agent systems with switching topology and communication delay

TL;DR: It is proved that the proposed algorithm is robust against the bounded communication delay in noisy environments and the mean square consensus condition is derived to provide a rigorous condition for leader-following of high-order nonlinear dynamical multi-agent systems with considerable scale.
Journal ArticleDOI

Observer-based output feedback control of discrete-time linear systems with input and output delays

TL;DR: The proposed observer-based output feedback controllers solve both the l2 and l∞ semi-global stabilisation problems and it is shown that the separation principle holds for the memory observer- basedoutput feedback controllers, but does not hold for theMemoryless ones.
Journal ArticleDOI

Repetitive controller for time-delay systems based on disturbance observer

TL;DR: In this paper, a continuous time repetitive control design for time-delay systems with periodic references and disturbances is presented, where an inner positive feedback loop is constructed to establish an internal model for periodic signals, and a simple proportional control is utilised in the outer feedback loop to stabilise the closed-loop system.
Journal ArticleDOI

A descriptor system approach to the delay-dependent exponential stability analysis for switched neutral systems with nonlinear perturbations

TL;DR: In this paper, the problem of exponential stability analysis for switched neutral systems with mixed time-delays and nonlinear perturbations based on descriptor system approach is addressed Delay-dependent exponential stability results are derived in terms of linear matrix inequalities based on piecewise descriptor type Lyapunov-Krasovskii functional average dwell time approach.
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.