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System transformation induced by generalized orthonormal basis functions preserves dissipativity

System transformation induced by generalized orthonormal basis functions preserves dissipativity
System transformation induced by generalized orthonormal basis functions preserves dissipativity
This paper discusses the dissipativity of transformed systems induced by generalized orthonormal basis functions. The dissipativity includes both passivity and the finite system gain property. We prove that the transformed system preserves the dissipativity and shares a common storage function when the original continuous-time system is dissipative. The results further illuminates the properties of this class of system transformation.
shift-invariant subspace, system transformation, dissipativity
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Ohta, Yoshito
aa21505a-73bf-4e10-a0fb-a84006c69daf
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Ohta, Yoshito
aa21505a-73bf-4e10-a0fb-a84006c69daf

Rapisarda, Paolo and Ohta, Yoshito (2018) System transformation induced by generalized orthonormal basis functions preserves dissipativity. In Proceedings of 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS2018). 7 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

This paper discusses the dissipativity of transformed systems induced by generalized orthonormal basis functions. The dissipativity includes both passivity and the finite system gain property. We prove that the transformed system preserves the dissipativity and shares a common storage function when the original continuous-time system is dissipative. The results further illuminates the properties of this class of system transformation.

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mtns2018ms - Accepted Manuscript
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Published date: 2018
Venue - Dates: MTNS 2018: 23rd International Symposium on Mathematical Theory of Networks and Systems, Hong Kong, China, 2018-07-16 - 2018-07-20
Keywords: shift-invariant subspace, system transformation, dissipativity

Identifiers

Local EPrints ID: 420089
URI: https://eprints.soton.ac.uk/id/eprint/420089
PURE UUID: 7c6f9bae-d393-48cf-abe9-c29ddd6c99ee

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Date deposited: 26 Apr 2018 16:30
Last modified: 13 Mar 2019 18:35

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Contributors

Author: Paolo Rapisarda
Author: Yoshito Ohta

University divisions

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