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IMA Journal of Mathematical Control and Information 1997 14(2):153-174; doi:10.1093/imamci/14.2.153
© 1997 by Institute of Mathematics and its Applications
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On weak spreadability of distributed-parameter systems and its achievement via linear—quadratic control techniques

DARIUSZ UCINSKI and ABDELHAQ EL JAI

Department of Robotics and Software Engineering, Technical University of Zielona Góra, ul. Podgórna 50, 65–246 Zielona Góra, Poland
IMP/CNRS – University of Perpignan, 52, Avenue de Villeneuve 66860 Perpignan Cedex, France

In this paper, the concept of weak spreadability is introduced. It constitutes an extension of the idea developed by El Jai & Kassara. In the case of linear distributed systems we consider quadratic control techniques with a conveniently penalized criterion which makes the system weakly spreadable. The approach is outlined for a convection—diffusion system, and the results of a numerical study are also included to illustrate the main features of the considered problem.

Keywords: Spreadability; distributed-parameter systems; linear—quadratic control problem; vegetation dynamics.


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