In this paper, we investigate the existence and regularity of solutions for Bolza optimal control problems in infinite dimension governed by a class of semilinear evolution equations. Our results apply to systems exhibiting hereditary properties, as heat propagation in real conductors and isothermal viscoelasticity, described by equations with memory terms which account for the past history of the variables in play.
Cannarsa, P., Frankowska, H., Marchini, E. (2013). Optimal control for evolution equations with memory. JOURNAL OF EVOLUTION EQUATIONS, 13(1), 197-227 [10.1007/s00028-013-0175-5].
Optimal control for evolution equations with memory
CANNARSA, PIERMARCO;
2013-01-01
Abstract
In this paper, we investigate the existence and regularity of solutions for Bolza optimal control problems in infinite dimension governed by a class of semilinear evolution equations. Our results apply to systems exhibiting hereditary properties, as heat propagation in real conductors and isothermal viscoelasticity, described by equations with memory terms which account for the past history of the variables in play.File in questo prodotto:
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