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Stability Tests for a Class of 2D Continuous-Discrete Linear Systems with Dynamic Boundary Conditions

Stability Tests for a Class of 2D Continuous-Discrete Linear Systems with Dynamic Boundary Conditions
Stability Tests for a Class of 2D Continuous-Discrete Linear Systems with Dynamic Boundary Conditions
Repetitive processes are a distinct class of 2D systems of both practical and theoretical interest. Their essential characteristic is repeated sweeps, termed passes, through a set of dynamics defined over a finite duration with explicit interaction between the outputs, or pass profiles, produced as the system evolves. Experience has shown that these processes cannot be studied/controlled by direct application of existing theory (in all but a few very restrictive special cases). This fact, and the growing list of applications areas, has prompted an on-going research programme into the development of a 'mature' systems theory for these processes for onward translation into reliable generally applicable controller design algorithms. This paper develops stability tests for a sub-class of so-called differential linear repetitive processes in the presence of a general set of initial conditions, where it is known that the structure of these conditions is critical to their stability properties.
52-60
Benton, S E
8a24e7a3-1145-40f4-94a2-92d5fc528032
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6
Benton, S E
8a24e7a3-1145-40f4-94a2-92d5fc528032
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6

Benton, S E, Rogers, E and Owens, D H (2002) Stability Tests for a Class of 2D Continuous-Discrete Linear Systems with Dynamic Boundary Conditions. International Journal of Control, 75 (1), 52-60.

Record type: Article

Abstract

Repetitive processes are a distinct class of 2D systems of both practical and theoretical interest. Their essential characteristic is repeated sweeps, termed passes, through a set of dynamics defined over a finite duration with explicit interaction between the outputs, or pass profiles, produced as the system evolves. Experience has shown that these processes cannot be studied/controlled by direct application of existing theory (in all but a few very restrictive special cases). This fact, and the growing list of applications areas, has prompted an on-going research programme into the development of a 'mature' systems theory for these processes for onward translation into reliable generally applicable controller design algorithms. This paper develops stability tests for a sub-class of so-called differential linear repetitive processes in the presence of a general set of initial conditions, where it is known that the structure of these conditions is critical to their stability properties.

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Published date: 2002
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 254275
URI: http://eprints.soton.ac.uk/id/eprint/254275
PURE UUID: dc1b6a53-9958-45cf-8dd5-7745162ec7b1
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 01 Mar 2004
Last modified: 23 Sep 2020 01:31

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