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
On the Stability Analysis of Systems of Neutral Delay Differential Equations
TL;DR: This paper rigorously proves the equivalency between the original set of NDDEs and the transformed set of DDAEs, and evaluates the effect on stability analysis through a delay-independent stability criterion and the Chebyshev discretization of the characteristic equations.
Proceedings ArticleDOI
Stability of Delay Impulsive Systems with Application to Networked Control Systems
TL;DR: Networked control systems (NCSs) consisting of an LTI process and a static feedback controller connected through a communication network are considered and it is shown that the resulting NCSs can be modeled by linear delay impulsive systems and conditions for stability of the closed-loop in terms of LMIs.
Journal ArticleDOI
Asymptotic stability of BAM neural networks of neutral-type with impulsive effects and time delay in the leakage term
TL;DR: This paper presents asymptotic stability of bi-directional associative memory neural networks of the neutral-type with impulsive effects and time delay in the leakage term using the Lyapunov method and the linear matrix inequality approach.
Journal ArticleDOI
Synchronization in an array of coupled neural networks with delayed impulses: Average impulsive delay method.
TL;DR: It is proved that the time delay in impulses can play double roles, namely, it may desynchronize a synchronous network or synchronize a nonsynchronized network and a unified relationship is established among AII, AID and rate coefficients of the impulsive dynamical network such that the network is globally exponentially synchronized (GES).
Proceedings ArticleDOI
Constructing Lyapunov-Krasovskii functionals for linear time delay systems
TL;DR: In this article, an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for linear time-delay systems, using the sum of squares decomposition of multivariate polynomials to solve the related infinite dimensional linear matrix inequalities, was 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.