Convolution algebra representation of systems described by linear hyperbolic partial differential equations
作者:
S. P. Levkov,
Józef Korbicz,
期刊:
International Journal of Control
(Taylor Available online 1989)
卷期:
Volume 49,
issue 6
页码: 2029-2044
ISSN:0020-7179
年代: 1989
DOI:10.1080/00207178908559760
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The representation of the input-output operator in convolution algebra B(σ0) 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.
点击下载:
PDF (745KB)
返 回