Convolution algebra representation of systems described by linear hyperbolic partial differential equations

The representation of the input-output operator in convolution algebra B(σ 0 ) is obtained for distributed parameter systems described by linear hyperbolic partial differential equations. Three kinds of system are considered depending on the kind of coefficient matrix corresponding to the space vari...

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Veröffentlicht in:International journal of control Jg. 49; H. 6; S. 2029 - 2044
Hauptverfasser: Levkov, S. P., Korbicz, Józef
Format: Journal Article
Sprache:Englisch
Veröffentlicht: London Taylor & Francis Group 01.06.1989
Taylor & Francis
Schlagworte:
Applied sciences
Computer science; control theory; systems
Control theory. Systems
Exact sciences and technology
Modelling and identification
Input output
Convolution
Stability
Necessary and sufficient condition
Hyperbolic equation
System representation
Operational calculus
Distributed parameter system
ISSN:0020-7179, 1366-5820
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Zusammenfassung:The representation of the input-output operator in convolution algebra B(σ 0 ) is obtained for distributed parameter systems described by linear hyperbolic partial differential equations. Three kinds of system are considered depending on the kind of coefficient matrix corresponding to the space variable derivative, and their properties are studied. Necessary and sufficient conditions for stability are obtained in terms of factorization of the transition matrix. The obtained results allow the use of modern algebraic methods for analysis of such systems.
Bibliographie:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-7179
1366-5820
DOI:10.1080/00207178908559760