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
Stability analysis of delayed neural networks via a new integral inequality
Bin Yang,Juan Wang,Jun Wang +2 more
TL;DR: A more general auxiliary function-based integral inequality is established and some improved delay-dependent stability conditions formulated in terms of linear matrix inequalities are derived by employing a suitable Lyapunov-Krasovskii functional and the novel integral inequality.
Journal ArticleDOI
Stability of linear neutral time-delay systems: exact conditions via matrix pencil solutions
TL;DR: It is shown that the delay margin of neutral delay systems described by both neutral differential-difference and state-space equations can be found by computing the eigenvalues and generalized eigen values of certain constant matrices, which can be executed efficiently and with high precision.
Proceedings ArticleDOI
Decentralized optimal control of a car platoon with guaranteed string stability
TL;DR: This paper presents new decentralized optimal strategies for Cooperative Adaptive Cruise Control (CACC) of a car platoon under string-stability constraints using the recently-proposed compensator blending method.
Journal ArticleDOI
Comparison of bounding methods for stability analysis of systems with time-varying delays
TL;DR: It is revealed that the reciprocally convex combination approach is effective only with the use of Jensen inequality, and it is proved that the feasibility of an LMI condition derived by the Moon et al.'s inequality as well as convex analysis implies the feasibility.
Journal ArticleDOI
Stability analysis for linear delayed systems via an optimally dividing delay interval approach
Huaguang Zhang,Zhenwei Liu +1 more
TL;DR: The novel augmented Lyapunov-Krasovskii functional is constructed, and the new delay-dependent stability criteria are proposed for linear systems with time-varying delay, which can lead to much less conservative stability results compared to other methods forlinear systems with delay.
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.