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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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 Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 264646
Date Deposited: 04 Oct 2007
Last Modified: 27 Mar 2014 20:09
Further Information:Google Scholar
ISI Citation Count:66

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