1. On stability of linear time-varying systems
- Author
-
Min-Yen Wu
- Subjects
Systems theory ,Exponential stability ,Control and Systems Engineering ,Control theory ,Linear system ,Stability (learning theory) ,Instability ,Stability (probability) ,Time complexity ,Computer Science Applications ,Theoretical Computer Science ,Mathematics ,Linear stability - Abstract
This paper presents two easy-to-check criteria that test respectively the necessary condition for the asymptotic stability and the sufficient condition for the instability of linear time-varying systems. A necessary and sufficient condition, defined in terms of the newly introduced concept of the mode-vectors is also given for stability of linear time-varying systems. An algorithm for finding the mode-vectors is presented. Several examples are given to illustrate the applications of the results in the paper.
- Published
- 1982
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