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- Title
Extremal problems for second order hyperbolic systems involving multiple time delays.
- Authors
KOWALEWSKI, Adam
- Abstract
Extremal problems for multiple time delay hyperbolic systems are presented. The optimal boundary control problems for hyperbolic systems in which multiple time delays appear both in the state equations and in the Neumann boundary conditions are solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived.
- Subjects
NEUMANN boundary conditions; TIME delay systems; NEUMANN problem; OPTIMAL control theory; EQUATIONS of state; EXTREMAL problems (Mathematics)
- Publication
Archives of Control Sciences, 2023, Vol 33, Issue 1, p101
- ISSN
1230-2384
- Publication type
Article
- DOI
10.24425/acs.2023.145116