OPTIMAL CONTROL PROBLEMS FOR SEMILINEAR EVOLUTION EQUATIONS

Autor:	Jin-Ran Kim, Hyun-Hee Roh, Jin-Mun Jeong
Rok vydání:	2008
Předmět:	Nonlinear system General Mathematics Mathematical analysis State (functional analysis) Differentiable function Lipschitz continuity Linear-quadratic-Gaussian control Optimal control Linear equation Mathematics Term (time)
Zdroj:	Journal of the Korean Mathematical Society. 45:757-769
ISSN:	0304-9914
DOI:	10.4134/jkms.2008.45.3.757
Popis:	This paper deals with the existence of optimal controls and maximal principles for semilinear evolution equations with the nonlinear term satisfying Lipschitz continuity. We also present the necessary conditions of optimality which are described by the adjoint state corresponding to the linear equations without a condition of differentiability for nonlinear term.
Databáze:	OpenAIRE
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