Title
ℓ∞-stability analysis of discrete autonomous systems described by Laurent polynomial matrix operators.
Abstract
In this paper, we analyze the ℓ∞-stability of infinite dimensional discrete autonomous systems, whose dynamics is governed by a Laurent polynomial matrix A(σ,σ−1) in shift operator σ on vector valued sequences. We give necessary and sufficient conditions for the ℓ∞-stability of such systems. We also give easy to check tests to conclude or to rule out the ℓ∞-stability of such systems.
Year
DOI
Venue
2016
10.1016/j.sysconle.2016.03.005
Systems & Control Letters
Keywords
Field
DocType
ℓ∞-stability,Infinite dimensional autonomous systems,2-D autonomous systems
Discrete mathematics,Mathematical optimization,Shift operator,Matrix (mathematics),L-stability,Pure mathematics,Autonomous system (Internet),Operator (computer programming),Laurent polynomial,Mathematics
Journal
Volume
ISSN
Citations 
93
0167-6911
3
PageRank 
References 
Authors
0.60
2
3
Name
Order
Citations
PageRank
Chirayu D. Athalye162.45
Debasattam Pal22812.84
Harish K. Pillai39020.79