Lipschitz stability of solutions to parametric optimal control problems for parabolic equations (Q1301263)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Lipschitz stability of solutions to parametric optimal control problems for parabolic equations |
scientific article; zbMATH DE number 1331710
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lipschitz stability of solutions to parametric optimal control problems for parabolic equations |
scientific article; zbMATH DE number 1331710 |
Statements
Lipschitz stability of solutions to parametric optimal control problems for parabolic equations (English)
0 references
22 June 2001
0 references
The authors study Lipschitz stability of solutions to optimal control problems governed by parabolic equations. The Lipschitz dependence is obtained under a coercivity condition on the Hessian of the Lagrange functional. The analysis is based on an implicit function theorem for generalized equations due to \textit{S. M. Robinson} [Math. Oper. Res. 5, 43-62 (1980; Zbl 0437.90094)]. The paper extends previous results by the second author [Dyn. Contin. Discrete Impulsive Syst. 7, No. 2, 289-306 (2000; Zbl 0954.49017)].
0 references
Lipschitz stability
0 references
generalized equations
0 references
parametric optimal control
0 references
semilinear parabolic equations
0 references
0 references
0 references
0 references
0 references
0 references
0 references
