Open AccessBook
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 IndexAbstract:
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 Indexread more
Citations
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Journal ArticleDOI
Brief paper: Wirtinger's inequality and Lyapunov-based sampled-data stabilization
Kun Liu,Emilia Fridman +1 more
TL;DR: New discontinuous Lyapunov functionals are introduced for sampled-data control in the presence of a constant input delay based on the vector extension of Wirtinger's inequality, which leads to simplified and efficient stability conditions in terms of Linear Matrix Inequalities (LMIs).
Journal ArticleDOI
Brief paper: A novel stability analysis of linear systems under asynchronous samplings
TL;DR: This article proposes a novel approach to assess the stability of continuous linear systems with sampled-data inputs based on the discrete-time Lyapunov theorem, which provides easy tractable stability conditions for the continuous-time model.
Journal ArticleDOI
Event-triggered sliding mode control of stochastic systems via output feedback ☆
TL;DR: The presented event-triggered SMC methods are successfully applied to multi-loop control case considering shared communication limitation and the stochastic stability for the overall closed-loop system is analyzed.
Journal ArticleDOI
New Delay-Dependent Exponential $H_{\infty}$ Synchronization for Uncertain Neural Networks With Mixed Time Delays
Hamid Reza Karimi,Huijun Gao +1 more
TL;DR: An exponential H infin synchronization method for a class of uncertain master and slave neural networks with mixed time delays, where the mixed delays comprise different neutral, discrete, and distributed time delays is established.
Journal ArticleDOI
Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity, and Markovian switching
Dong Yue,Qing-Long Han +1 more
TL;DR: Delays-dependent stability criteria are derived by introducing some relaxation matrices which can be chosen properly to lead to a less conservative result, and significant improvement of the estimate of stability limit over some existing results in the literature is given.
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 Analysis
Roger A. Horn,Charles R. Johnson +1 more
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.