Title | ||
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ℓ∞-stability analysis of discrete autonomous systems described by Laurent polynomial matrix operators. |
Abstract | ||
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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 |
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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. Athalye | 1 | 6 | 2.45 |
Debasattam Pal | 2 | 28 | 12.84 |
Harish K. Pillai | 3 | 90 | 20.79 |