Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
756034 | Systems & Control Letters | 2016 | 8 Pages |
Abstract
In this paper, we analyze the ℓ∞ℓ∞-stability of infinite dimensional discrete autonomous systems, whose dynamics is governed by a Laurent polynomial matrix A(σ,σ−1)A(σ,σ−1) in shift operator σσ on vector valued sequences. We give necessary and sufficient conditions for the ℓ∞ℓ∞-stability of such systems. We also give easy to check tests to conclude or to rule out the ℓ∞ℓ∞-stability of such systems.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Chirayu D. Athalye, Debasattam Pal, Harish K. Pillai,