Athalye, CD and Pal, D and Pillai, HK (2021) Comparison between Different Notions of Stability for Laurent Systems. In: IEEE Transactions on Automatic Control, 66 (2). pp. 768-772.
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Abstract
In this article, we examine a particular family of infinite-dimensional discrete autonomous systems given by a firstorder state-space equation; the state transition matrix for this family is a Laurent polynomial matrix A(,-1), where is the shift operator on Rn-valued sequences. We term this family of systems as Laurent systems. We give necessary and sufficient conditions for the exponential 2-stability and the exponential-stability of Laurent systems. We also compare the following four different notions of stability for Laurent systems: The 2-stability, the exponential 2-stability, the-stability, and the exponential-stability; furthermore, we conclude that the 2-stability is an outlier. © 1963-2012 IEEE.
Item Type: | Journal Article |
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Publication: | IEEE Transactions on Automatic Control |
Publisher: | Institute of Electrical and Electronics Engineers Inc. |
Additional Information: | The copyright of this article belongs to Institute of Electrical and Electronics Engineers Inc. |
Keywords: | Equations of state, Autonomous systems; First-order; Infinite dimensional; Laurent polynomial; Shift operators; State space equation; State transition Matrix, System stability |
Department/Centre: | Division of Electrical Sciences > Electrical Engineering |
Date Deposited: | 26 Feb 2021 06:00 |
Last Modified: | 26 Feb 2021 06:00 |
URI: | http://eprints.iisc.ac.in/id/eprint/68004 |
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