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State maps for linear systems

Record type: Article

Modeling of physical systems consists of writing the equations describing a phenomenon and yields as a result a set of differential-algebraic equations. As such, state-space models are not a natural starting point for modeling, while they have utmost importance in the simulation and control phase. The paper addresses the problem of computing state variables for systems of linear differential-algebraic equations of various forms. The point of view from which the problem is considered is the behavioral one, as put forward in [J. C. Willems, Automatica J. IFAC, 22 (1986), pp. 561–580; DynamicsReported,2(1989),pp.171–269;IEEETrans.Automat.Control,36(1991),pp. 259–294].

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Citation

Rapisarda, Paolo and Willems, Jan C. (1997) State maps for linear systems SIAM Journal on Control and Optimization, 35, (3), pp. 1053-1091.

More information

Published date: May 1997
Keywords: behavioral system theory, state map, differential-algebraic equations
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 264646
URI: http://eprints.soton.ac.uk/id/eprint/264646
PURE UUID: 27232ec1-76e8-4196-b3a2-13208f108fbd

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Date deposited: 04 Oct 2007
Last modified: 18 Jul 2017 07:33

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Contributors

Author: Paolo Rapisarda
Author: Jan C. Willems

University divisions

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