Stability and robust stability of time-delay systems: A guided tour

SI Niculescu, EI Verriest, L Dugard, JM Dion - Stability and control of time …, 1998 - Springer
In this chapter, some recent stability and robust stability results on linear time-delay systems
are outlined. The goal of this guided tour is to give (without entering the details) a wide …

[图书][B] Stability of time-delay systems

K Gu, J Chen, VL Kharitonov - 2003 - books.google.com
For both their theoretical and practical impact, time-delay systems have been an enduring
theme in the study of differential equations, stochastic processes, game theory, and systems …

A delay-dependent stability criterion for systems with uncertain time-invariant delays

PG Park - IEEE Transactions on Automatic control, 1999 - ieeexplore.ieee.org
This paper provides a new stability criterion for systems with time-invariant uncertain delays.
Based on an improved upper bound for the inner product of two vectors, a new delay …

[图书][B] Robust control and filtering for time-delay systems

MS Mahmoud - 2018 - taylorfrancis.com
A discussion of robust control and filtering for time-delay systems. It provides information on
approaches to stability, stabilization, control design, and filtering aspects of electronic and …

Criteria for robust stability and stabilization of uncertain linear systems with state delay

X Li, CE De Souza - Automatica, 1997 - Elsevier
This paper deals with the problem of robust stability analysis and robust stabilization for a
class of uncertain linear systems with a time-varying state delay. The uncertainty is assumed …

[图书][B] Deterministic and stochastic time delay systems

EK Boukas, ZK Liu, WS Levine - 2002 - Springer
Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc.,
are nonlinear stochastic systems, which makes their con trol in general a hard problem …

Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach

X Li, CE De Souza - IEEE Transactions on Automatic Control, 1997 - ieeexplore.ieee.org
This paper considers the problems of robust stability analysis and robust control design for a
class of uncertain linear systems with a constant time-delay. The uncertainty is assumed to …

Delay-dependent robust H∞ control of uncertain linear state-delayed systems

CE De Souza, X Li - Automatica, 1999 - Elsevier
This paper examines the problems of robust stabilization and robust H∞ control for linear
systems with a constant time delay in the state and subject to parameter uncertainty …

Discretized LMI set in the stability problem of linear uncertain time-delay systems

K Gu - International Journal of Control, 1997 - Taylor & Francis
The stability problem of linear uncertain time-delay systems is considered using a quadratic
Lyapunov functional. The resulting stability criterion is a constrained linear matrix inequality …

Additional dynamics in transformed time-delay systems

K Gu, SI Niculescu - IEEE Transactions on automatic control, 2000 - ieeexplore.ieee.org
In studying the stability of time delay systems, many published results use a transformation
to transform a system with single time delay to a system with distributed delay. In this article …