Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4999609 | Automatica | 2017 | 9 Pages |
Abstract
In this paper, we analyze â2-stability of infinite dimensional discrete autonomous systems given in a state space form with state transition matrix being a Laurent polynomial matrix A(Ï,Ïâ1) in the shift operator Ï. We give sufficient conditions and necessary conditions for â2-stability of such systems. We then use the theory of â2-stability, thus developed, to analyze â2-stability of discrete 2-D autonomous systems. We achieve this by showing how a discrete 2-D autonomous system can be converted to an equivalent infinite dimensional state space discrete autonomous system, where the state transition matrix turns out to be a Laurent polynomial matrix in the shift operator. Finally, we provide some easy-to-check numerical tests for â2-stability of the above-mentioned type of systems.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Chirayu D. Athalye, Debasattam Pal, Harish K. Pillai,