Stability of linear functional differential systems with multivalued delay feedback
Date
2007-02-27
Authors
Tsalyuk, Vadim Z.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We consider a controlled linear functional differential system with linear feedback without delay and assume that the closed system is exponentially stable. Then we assume a non-ideality in the feedback loop such that it has an unknown delay, which may be distributed or not. We suppose that this delay is sufficiently small. In such a case, the disturbed system is presented by a functional differential inclusion of special type. We prove that this inclusion remains exponentially stable. To do this, we use the exponential estimate, which is valid uniformly for all Cauchy functions of some class of linear functional differential equations that are close to given one.
Description
Keywords
Linear functional differential equations, Cauchy function, Functional differential inclusions, Exponential stability
Citation
Tsalyuk, V. Z. (2007). Stability of linear functional differential systems with multivalued delay feedback. <i>Electronic Journal of Differential Equations, 2007</i>(36), pp. 1-14.
Rights
Attribution 4.0 International