Markovian properties for 2D behavioral systems described by PDE’s: the scalar case
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In this paper we study the characterization of deterministic Markovian properties for 2D behavioral systems in terms of their descriptions by PDE’s. In particular, we consider scalar systems and show that in this case strong-Markovianity is equivalent to the existence of a first order PDE description.
Keywords2D systems Behavioral approach Markovian properties
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- Bose, N. K. (1982). Applied multidimensional systems theory. Van Nostrand Reinhold.Google Scholar
- Bose, N. K. (Ed.) (1985). Applied multidimensional systems theory. D. Reidel.Google Scholar
- Rocha, P., & Willems, J. C. (1990). Markovian properties for 2-D systems. In M. A. Kaashoek, J. H. Van Schuppen, & A. C. M. Ran (Eds.), Realization and modelling in system theory—proceedings of the international symposium MTNS-89, vol. I, progress in systems and control (vol. 3, pp. 343–349). Birkhäuser.Google Scholar
- Rocha, P., & Willems, J. C. (2005). Infinite-dimensional systems described by first order PDE’s. In Proceedings of the fourth international workshop on multidimensional systems, NDS 2005 (pp. 54–58). Wuppertal, Germany.Google Scholar
- Willems J.C. (2004) State and first order representations. In: Blondel V.D., Megretski A. (eds) Unsolved problems in mathematical systems and control theory. Princeton University Press, Princeton, NJ, pp 171–269Google Scholar