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Kronecker Product based Stability Tests and Performance Bounds for a Class of 2D Continuous-Discrete Linear Systems

Kronecker Product based Stability Tests and Performance Bounds for a Class of 2D Continuous-Discrete Linear Systems
Kronecker Product based Stability Tests and Performance Bounds for a Class of 2D Continuous-Discrete Linear Systems
This paper reports further development of the so-called 1D Lyapunov equation based approach to the stability analysis of differential linear repetitive processes which are a distinct class of 2D continuous-discrete linear systems of both practical and theoretical interest. In particular, it is shown that this approach leads to stability tests which can be implemented by computations with matrices which have constant entries and if the example under consideration is stable then physically meaningful information concerning one key aspect of transient performance is available for no extra cost.
0024-3795
33-52
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
db24b8ef-282b-47c0-9cd2-75e91d312ad7
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
db24b8ef-282b-47c0-9cd2-75e91d312ad7

Rogers, E and Owens, D H (2002) Kronecker Product based Stability Tests and Performance Bounds for a Class of 2D Continuous-Discrete Linear Systems. Linear Algebra and Its Applications, 353 (1-3), 33-52.

Record type: Article

Abstract

This paper reports further development of the so-called 1D Lyapunov equation based approach to the stability analysis of differential linear repetitive processes which are a distinct class of 2D continuous-discrete linear systems of both practical and theoretical interest. In particular, it is shown that this approach leads to stability tests which can be implemented by computations with matrices which have constant entries and if the example under consideration is stable then physically meaningful information concerning one key aspect of transient performance is available for no extra cost.

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Published date: 2002
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 256275
URI: http://eprints.soton.ac.uk/id/eprint/256275
ISSN: 0024-3795
PURE UUID: f79e43ee-ce84-47de-bdab-58f7ad07ec65
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 02 Mar 2004
Last modified: 15 Mar 2024 02:42

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Contributors

Author: E Rogers ORCID iD
Author: D H Owens

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