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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

Pinning sampled-data synchronization of coupled inertial neural networks with reaction-diffusion terms and time-varying delays

TL;DR: By constructing a suitable Lyapunov-Krasovskii functional (LKF), which uses more information of the delay bounds, global asymptotic synchronization criteria for the considered system are established in the form of LMIs.
Journal ArticleDOI

Dissipativity and stability analysis of fractional-order complex-valued neural networks with time delay.

TL;DR: A class of fractional-order complex-valued neural networks (FCVNNs) with time delay is established, and some sufficient conditions are derived in order to ensure the global asymptotic stability of the addressed FCVNN’s with time Delay.
Journal ArticleDOI

Static Output Feedback Sliding Mode Control Design via an Artificial Stabilizing Delay

TL;DR: This paper shows that the static output feedback sliding mode control design problem can be solved for a broader class of systems if a known delay term is deliberately introduced into the switching function.
Journal ArticleDOI

Stabilization of neutral time-delay systems with actuator saturation via auxiliary time-delay feedback

TL;DR: The improved delay-dependent local stabilization conditions are proposed in terms of linear matrix inequalities (LMIs) by employing free-weighting matrix technique and Jensen integral inequalities, and performing the accurate estimation of the lower bounds of L-K functionals.
Journal ArticleDOI

Observer-based input-to-state stabilization of networked control systems with large uncertain delays

TL;DR: This work considers output-feedback predictor-based stabilization of networked control systems with large unknown time-varying communication delays and designs a sampled-data observer that gives an estimate of the system state, which is used in a predictor that partially compensates unknown network delays.
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.