Necessary and Sufficient Conditions of Generalized Exponential Stability for Retarded Dynamic Systems
Xu Bugong
Abstract：In this paper, the necessary and sufficient conditions of generalized exponential stability for general type of retarded dynamic systems are established. The exponential decay estimates on the transient responses for the systems are presented. A generalized exponential stability result with respect to a time-varying decay degree for a special class of retarded dynamic systems is also presented based on the matrix measures as the application of the established conditions. It is revealed that the established estimates can be less conservative than those obtained only by using the sufficient stability conditions in the literature.
Keywords：retarded dynamic systemsgeneralized exponential stabilitynecessary and sufficient conditions
Publication Date：1999-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)