On weak spreadability of distributed-parameter systems and its achievement via linear--quadratic control techniques |
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| Authors: | UCINSKI, DARIUSZ JAI, ABDELHAQ EL |
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| Affiliation: | 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 |
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| Abstract: | 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 weconsider quadratic control techniques with a conveniently penalizedcriterion which makes the system weakly spreadable. The approachis outlined for a convectiondiffusion system, and theresults of a numerical study are also included to illustratethe main features of the considered problem. |
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| Keywords: | Spreadability distributed-parameter systems linear— quadratic control problem vegetation dynamics. |
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