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State for linear discrete time-varying systems, with applications to dissipative systems

State for linear discrete time-varying systems, with applications to dissipative systems
State for linear discrete time-varying systems, with applications to dissipative systems
We study the notion of state for a class of linear discrete time-varying systems and provide a characterization of polynomial operator in the shift used to define state trajectory from both external and auxiliary trajectories. We then characterize lossless systems and show that a storage function for a dissipative system can be written as a quadratic function of the state.
Linear discrete time-varying systems, dissipativity, state property, storage function, Dissipativity, State property, Storage function
0167-6911
Maupong, Thabiso
b6631f88-eb33-47e7-91d2-d88bd3274afb
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Maupong, Thabiso
b6631f88-eb33-47e7-91d2-d88bd3274afb
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b

Maupong, Thabiso and Rapisarda, Paolo (2022) State for linear discrete time-varying systems, with applications to dissipative systems. Systems & Control Letters, 164, [105246]. (doi:10.1016/j.sysconle.2022.105246).

Record type: Article

Abstract

We study the notion of state for a class of linear discrete time-varying systems and provide a characterization of polynomial operator in the shift used to define state trajectory from both external and auxiliary trajectories. We then characterize lossless systems and show that a storage function for a dissipative system can be written as a quadratic function of the state.

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State__for_linear_discrete_time_varying_systems - Accepted Manuscript
Restricted to Repository staff only until 7 May 2024.
Available under License Creative Commons Attribution Non-commercial No Derivatives.
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More information

Accepted/In Press date: 15 April 2022
e-pub ahead of print date: 7 May 2022
Published date: 1 June 2022
Additional Information: Publisher Copyright: © 2022 Elsevier B.V.
Keywords: Linear discrete time-varying systems, dissipativity, state property, storage function, Dissipativity, State property, Storage function
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Identifiers

Local EPrints ID: 457114
URI: http://eprints.soton.ac.uk/id/eprint/457114
DOI: doi:10.1016/j.sysconle.2022.105246
ISSN: 0167-6911
PURE UUID: 3698eb76-b672-46a6-9f1e-3671f40685ca

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Date deposited: 24 May 2022 16:38
Last modified: 16 Mar 2024 17:17

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Contributors

Author: Thabiso Maupong
Author: Paolo Rapisarda

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