More on Linear Differential Systems with Small Delays
نویسندگان
چکیده
منابع مشابه
Exponential Stability of Linear Systems with Multiple Time Delays
In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...
متن کاملObservability of small solutions of linear differential-algebraic systems with delays
Abstract: In this paper we investigate observability of small solutions of linear differential-algebraic systems with delays (DAD), i.e. solutions that vanish after some finite time. In particular, we prove existence of two kinds of small solutions of DAD systems. The main result are the rank type conditions for observability of three kinds of small solutions of linear differential-algebraic sy...
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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. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...
متن کاملFurther results on controllability of linear systems with switching delays ?
We prove two more results on controllability of LTI systems with switching delays. Firstly, we improve our previous results on controllability verification (when arbitrarily large look-ahead of the switching signal is allowed) by providing an algorithm which is not restricted to regular matrices. In particular we provide a more detailed analysis for nihilpotent matrices (i.e. matrices with only...
متن کاملOn the Perturbations of Regular Linear Systems and Linear Systems with State and Output Delays
This paper is concerned with perturbation problems of regularity linear systems. Two types of perturbation results are proved: (i) the perturbed system (A + P,B,C) generates a regular linear system provided both (A,B,C) and (A,B, P ) generate regular linear systems; and (ii) the perturbed system ((A−1 +ΔA)|X , B,C Λ ) generates a regular linear system if both (A,B,C) and (A,ΔA,C) generate regul...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2001
ISSN: 0022-0396
DOI: 10.1006/jdeq.2000.3824