Motion synchronization control of distributed multisubsystems with invariant local natural dynamics
IEEE Transactions on Robotics
Physically based collaborative simulations under ring-like network configurations
IEEE Computer Graphics and Applications - Special issue on non-photorealistic rendering a virtual environment for teaching social skills
Predictor-like feedback for actuator and sensor dynamics governed by diffusion PDEs
ACC'09 Proceedings of the 2009 conference on American Control Conference
Adaptive tracking controller for systems with unknown long delay and unknown parameters in the plant
ACC'09 Proceedings of the 2009 conference on American Control Conference
Compensating a string PDE in the actuation or sensing path of an unstable ODE
ACC'09 Proceedings of the 2009 conference on American Control Conference
Asymptotic stability of constant time headway driving strategy with multiple driver reaction delays
ACC'09 Proceedings of the 2009 conference on American Control Conference
Stability investigation for linear periodic time-delayed systems using Fredholm theory
Automation and Remote Control
SIAM Journal on Matrix Analysis and Applications
Characterization and Computation of $\mathcal{H}_{\infty}$ Norms for Time-Delay Systems
SIAM Journal on Matrix Analysis and Applications
Argument principle based stability conditions of a retarded quasipolynomial with two delays
ICS'10 Proceedings of the 14th WSEAS international conference on Systems: part of the 14th WSEAS CSCC multiconference - Volume I
The Nyquist criterion for LTI time-delay systems
ACMOS'11 Proceedings of the 13th WSEAS international conference on Automatic control, modelling & simulation
Analysis of a simple quasipolynomial of degree one
ACMOS'11 Proceedings of the 13th WSEAS international conference on Automatic control, modelling & simulation
Impact of queueing delay estimation error on equilibrium and its stability
NETWORKING'11 Proceedings of the 10th international IFIP TC 6 conference on Networking - Volume Part II
Root locus analysis of a retarded quasipolynomial
WSEAS Transactions on Systems and Control
On dominant poles and model reduction of second order time-delay systems
Applied Numerical Mathematics
A Krylov Method for the Delay Eigenvalue Problem
SIAM Journal on Scientific Computing
SIAM Journal on Control and Optimization
Journal of Computational and Applied Mathematics
Stability and performance of first-order linear time-delay feedback systems: an eigenvalue approach
Journal of Control Science and Engineering
Lyapunov Methods for Time-Invariant Delay Difference Inclusions
SIAM Journal on Control and Optimization
Exponentially Stable Interval Observers for Linear Systems with Delay
SIAM Journal on Control and Optimization
Backstepping for Nonlinear Systems with Delay in the Input Revisited
SIAM Journal on Control and Optimization
Krylov-Based Model Order Reduction of Time-delay Systems
SIAM Journal on Matrix Analysis and Applications
Pseudospectra of exponential matrix polynomials
Theoretical Computer Science
Stability Analysis of a Vision-Based UAV Controller
Journal of Intelligent and Robotic Systems
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Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. This monograph addresses the problem of stability analysis and the stabilization of dynamical systems subjected to time-delays. It presents a wide and self-contained panorama of analytical methods and computational algorithms using a unified eigenvalue-based approach illustrated by examples and applications in electrical and mechanical engineering, biology, and complex network analysis. This text bridges the fields of control (analysis and feedback design, robustness, and uncertainty) and numerical analysis (explicit algorithms and methods). The authors present solutions of the (robust) stability analysis and stabilization problem of linear time-delay systems, which are the result of this cross-fertilization of control theory, numerical linear algebra, numerical bifurcation analysis, and optimization. The book is organized into three parts: Part I addresses the analysis of linear time-delay systems from a stability point of view. Part II is devoted to synthesis problems with the focus on stabilization. In Part III the authors present a wide class of applications, including congestion analysis in high-performance networks, output feedback stabilization using the delays as controller parameters, predictor-type controllers, consensus problems in traffic flows, and stability analysis of various delay models in the biosciences. Audience: Researchers and graduate students in electrical and mechanical engineering, computer science, biology, and applied mathematics will benefit from this book. Contents: Preface; Symbols; Acronyms; Part I: Stability analysis of linear time-delay systems. Chapter 1: Spectral properties of linear time-delay systems; Chapter 2: Pseudospectra and robust stability analysis; Chapter 3: Computation of stability regions in parameter spaces; Chapter 4: Stability regions in delay-parameter spaces; Chapter 5: Delays ratio sensitivity and delay-interference; Chapter 6: Stability of linear periodic systems with delays; Part II: Stabilization and robust stabilization; Chapter 7: The continuous pole placement method; Chapter 8: Stabilizability with delayed feedback: a numerical case-study; Chapter 9: The robust stabilization problem; Chapter 10: Stabilization using a direct eigenvalue optimization approach; Part III: Applications. Chapter 11: Output feedback stabilization using delays as control parameters: the single delay case; Chapter 12: Output feedback stabilization using delays as control parameters: the multiple delay case; Chapter 13: Congestion control in networks; Chapter 14: Smith predictor for stable systems: delay sensitivity analysis; Chapter 15: Controlling unstable systems using finite spectrum assignment; Chapter 16: Consensus problems with distributed delays, with traffic flow applications; Chapter 17: Stability analysis of delay models in biosciences; Appendix; Bibliography; Index.