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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 of inventory dynamics in supply chains with three delays

TL;DR: In this article, an analytical characterization of these oscillations with respect to two intrinsic parameters of the supply chain and the three delays considered separately is presented, showing which combinations of each delay lead to (un)desirable inventory behavior.
Journal ArticleDOI

An LMI approach to delay-dependent state estimation for delayed neural networks

TL;DR: A delay-dependent condition is developed to estimate the neuron states through observed output measurements such that the error-state system is globally asymptotically stable and can be checked readily by using some standard numerical packages.
Journal ArticleDOI

Distributed node‐to‐node consensus of multi‐agent systems with stochastic sampling

TL;DR: By employing the input-delay method and discontinuous Lyapunov functional approach, this paper arrives at some sufficient conditions under which the state of each follower can track that of the corresponding leader asymptotically in the mean square sense.
Journal ArticleDOI

Predictive Control for Linear Systems with Delayed Input Subject to Constraints

TL;DR: In this article, the stability of the closed-loop system is guaranteed by forcing the state trajectories to attain a robust positively invariant terminal set on the prediction horizon, and the robustness of the control law with respect to the uncertainties introduced by the discretization is considered.
Dissertation

Robust Control and Observation of LPV Time-Delay Systems

TL;DR: In this paper, the authors proposed a delay-scheduled controller for LPV time-delay systems based on Lyapunov-Krasovskii functionals.
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.