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
Observer design for discrete-time systems subject to time-delay nonlinearities
TL;DR: This paper addresses the problem of designing nonlinear observers for dynamical discrete-time systems with both constant and time-varying delay nonlinearities with structured uncertainties by assuming the existence of the observer-gain.
Journal ArticleDOI
Stability analysis of time-delay systems via free-matrix-based double integral inequality
TL;DR: A free-matrix-based double integral inequality is proposed, which includes the Wirtinger-baseddouble integral inequality as a special case, by introducing some free matrices into the inequality, so that more freedom can be provided in bounding the quadratic double integral.
Journal ArticleDOI
Decentralized MRAC for large-scale interconnected systems with time-varying delays and applications to chemical reactor systems
TL;DR: In this article, the authors investigated the model reference adaptive control problem for a class of large-scale systems with time-varying delays and showed that the designed decentralized continuous adaptive controller renders that the solutions of the closed-loop system converge exponentially to a bounded region.
Journal ArticleDOI
New results on delay‐dependent stability analysis and stabilization for stochastic time‐delay systems
TL;DR: In this paper, an improved delay-dependent stability criterion is derived for stochastic delay systems, and a state-feedback controller is proposed to exponentially stabilize the system by a strict LMI.
Journal ArticleDOI
Further improvement on delay-range-dependent stability results for linear systems with interval time-varying delays.
TL;DR: An improved delay-range-dependent stability criterion for linear systems with interval time-varying delays is provided, which involves fewer matrix variables but has less conservatism, which is established theoretically.
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.