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 limit of human-in-the-loop model reference adaptive control architectures
TL;DR: A mathematical framework is developed whereby an MRAC is designed in conjunction with a class of linear human models including human reaction delays to reveal the stability limit of the MRAC–human closed-loop system and the range of model parameters respecting this limit.
Journal ArticleDOI
New delay range–dependent stability criteria for interval time-varying delay systems via Wirtinger-based inequalities
Reza Mohajerpoor,Reza Mohajerpoor,Lakshmanan Shanmugam,Hamid Abdi,Rajan Rakkiyappan,Saeid Nahavandi,Peng Shi +6 more
TL;DR: In this paper, a double-integral inequality is derived inspired by Wirtinger-based single integral inequalities for linear systems with interval time-varying delays, and a condition for the positive definiteness of the Lyapunov functional is established for the system.
Journal ArticleDOI
Formation Flight Control of Multi-UAV System with Communication Constraints
Ruibin Xue,Gaohua Cai +1 more
TL;DR: The research suggests that, when the time delay, communication topology, and control protocol satisfy the stability condition, the formation control protocol will guide the multi-UAV system to asymptotically converge to the desired velocity and shape the expected formation team, respectively.
Journal ArticleDOI
Robust Stabilization of Discrete-Time Systems with Time-Varying Delay: An LMI Approach
TL;DR: In this paper, sufficient linear matrix inequality (LMI) conditions for robust stability analysis and robust synthesis of linear discrete-time systems with time-varying delay and polytopic uncertainties are presented.
Journal ArticleDOI
BIBO stability and stabilization of networked control systems with short time‐varying delays
Wen-An Zhang,Li Yu +1 more
TL;DR: In this paper, a robust control approach to solve the stability and stabilization problems for networked control systems (NCSs) with short time-varying delays is 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.