State maps for linear systems
Rapisarda, Paolo and Willems, Jan C. (1997) State maps for linear systems. SIAM Journal on Control and Optimization, 35, (3), 1053-1091.
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Description/Abstract
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].
| Item Type: | Article |
|---|---|
| Keywords: | behavioral system theory, state map, differential-algebraic equations |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 264646 |
| Date Deposited: | 04 Oct 2007 |
| Last Modified: | 02 Mar 2012 13:00 |
| Contributors: | Rapisarda, Paolo (Author) Willems, Jan C. (Author) |
| Date: | May 1997 |
| Status: | Published |
| Further Information: | Google Scholar |
| ISI Citation Count: | 65 |
| URI: | http://eprints.soton.ac.uk/id/eprint/264646 |
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