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
Design of LPV observers for LPV time-delay systems : an algebraic approach
TL;DR: An approach based on linear matrix inequalities is provided and used to select a suitable observer within this family of observers, according to some criterion; e.g. maximisation of the delay margin or guaranteed suboptimal ℒ2-gain.
Journal ArticleDOI
Stability analysis and output-feedback stabilisation of discrete-time systems with an interval time-varying state delay
TL;DR: In this article, the stability of discrete-time systems with a time-varying state delay and uncertainties in system matrices is studied. And linear matrix inequality conditions are derived for determining bounds of the delay size to ensure the asymptotic stability.
Journal ArticleDOI
Event-triggered reliable H∞ fuzzy filtering for nonlinear parabolic PDE systems with Markovian jumping sensor faults
TL;DR: This paper proposes an integral-type event-triggered reliable H ∞ filter design for a class of nonlinear partial differential equation (PDE) systems with Markovian jumping sensor faults with Takagi-Sugeno (T-S) fuzzy model.
Journal ArticleDOI
Lyapunov stability analysis for nonlinear systems with state-dependent state delay
Xiaodi Li,Xueyan Yang +1 more
TL;DR: The Lyapunov stability theory is applied to obtain sufficient conditions for exponential stability of the zero equilibrium of the system with state-dependent state delay to illustrate the effectiveness of the approach and general results.
Journal ArticleDOI
New Stability Criteria for Neural Networks with Distributed and Probabilistic Delays
TL;DR: New conditions for the exponential stability of neural networks with distributed and probabilistic delays are obtained by employing new Lyapunov–Krasovskii functionals and novel techniques for achieving delay dependence.
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.