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
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LMI Properties and Applications in Systems, Stability, and Control Theory.
TL;DR: The equivalency of some of the LMIs in this document may be straightforward to more experienced readers, but the authors believe that some readers may benefit from the presentation of multiple equivalent LMIs.
Journal ArticleDOI
Asymptotic and exponential stability of uncertain system with interval delay
TL;DR: By constructing a new Lyapunov–Krasovskii functional, several delay-range-dependent conditions are derived in terms of the linear matrix inequalities (LMIs) by employing two novel integral equalities to overcome the disadvantages of the methods in existing references.
Journal ArticleDOI
Event-triggered dynamic output feedback control for networked control systems with probabilistic nonlinearities
TL;DR: A novel event-triggered mechanism (ETM) is proposed, in which a new event-triggering condition is introduced and sufficient conditions are derived to design both controller gains and ETM parameters by employing the Lyapunov–Krasovskii functional method.
Journal ArticleDOI
Effects of leakage time-varying delays in Markovian jump neural networks with impulse control
TL;DR: The stability analysis problem is investigated for delayed neural networks with mixed time-varying delays, impulsive control and Markovian jumping parameters and sufficient conditions for the global exponential stability in the mean square are derived by using Lyapunov-Krasovskii functional having triple integral terms and model transformation technique.
Proceedings ArticleDOI
Network-based control via a novel analysis of hybrid systems with time-varying delays
TL;DR: The results improve the hybrid system-based ones and allow non-small network-induced delay and a new Lyapunov-Krasovskii method is developed for the partial exponential stability with respect to the x-variable of the delayed hybrid system.
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.