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
Global Stabilization of the Double Integrator System With Saturation and Delay in the Input
TL;DR: In this paper, two solutions to the problem of global stabilizing a double integrator system subject to actuator saturation and delay in the input are proposed by using linear state feedback which are parameterized in a single scalar γ.
Journal ArticleDOI
Auxiliary function-based integral/summation inequalities: Application to continuous/discrete time-delay systems
TL;DR: In this article, the stability conditions for continuous/discrete time-delay systems are derived in terms of linear matrix inequalities (LMIs) by using the proposed inequalities with simple numerical examples.
Journal ArticleDOI
Global synchronization in fixed time for semi-Markovian switching complex dynamical networks with hybrid couplings and time-varying delays
Zhibo Wang,Huaiqin Wu +1 more
TL;DR: The property with respect to the global stability in fixed time is developed for semi-Markovian switching nonlinear systems and a novel sliding manifold with double integration is presented based on the proposed principle of convergence in fixedTime.
Journal ArticleDOI
Improved exponential stability analysis for delayed recurrent neural networks
Magdi S. Mahmoud,Yuanqing Xia +1 more
TL;DR: Improved exponential stability condition is derived by employing new Lyapunov–Krasovskii functional and the integral inequality and the developed stability criteria are delay dependent and characterized by linear matrix inequalities (LMIs).
Journal ArticleDOI
Chaotic synchronization of Rikitake system based on T-S fuzzy control techniques
TL;DR: This paper studies the chaos synchronization of the Rikitake system based on Takagi–Sugeno fuzzy control techniques by employing the Lyapunov function and linear matrix inequality approach and the fuzzy controller design is presented.
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.