State maps for linear systems

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. T...

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Bibliographic Details
Main Authors: Rapisarda, Paolo (Author), Willems, Jan C. (Author)
Format: Article
Language:English
Published: 1997-05.
Subjects:
Online Access:Get fulltext
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042 |a dc 
100 1 0 |a Rapisarda, Paolo  |e author 
700 1 0 |a Willems, Jan C.  |e author 
245 0 0 |a State maps for linear systems 
260 |c 1997-05. 
856 |z Get fulltext  |u https://eprints.soton.ac.uk/264646/1/State_maps.pdf 
520 |a 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]. 
655 7 |a Article