Distributed optimal control of degenerate reaction-diffusion equations

被引：0
|
作者：
Aquilanti, Laura [1 ]
Cristofaro, Andrea [1 ,2 ]
机构：
[1] Univ Camerino, Div Math, Sch Sci & Technol, Via Madonna Carceri 9, I-62032 Camerino Mc, Italy
[2] Univ Oslo, Dept Technol Syst, Gunnar Randers Vei 19, N-2007 Kjeller, Norway
来源：
2019 18TH EUROPEAN CONTROL CONFERENCE (ECC) | 2019年
关键词：
P-LAPLACE EQUATIONS; ASYMPTOTIC-BEHAVIOR; TRACKING CONTROL; EIGENVALUE; SYSTEMS; GROWTH;
D O I：
10.23919/ecc.2019.8796084
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the optimal control of the parabolic p-Laplace equation with lower order reaction terms. The autonomous equation is shown to be exponentially stable with respect to the square integral norm. On the basis of this result, the task of reference tracking using a distributed control input is investigated and, in particular, the optimal control problem associated to the minimization of a power functional is addressed.
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页码：1938 / 1943
页数：6
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