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- Title
Optimal control systems governed by nonlinear equations.
- Authors
Joshi, Mohan C.
- Abstract
We consider a nonlinear control system of the form Av + Fv = Bu along with observation equation z(u) = Cv(u). Here A,B,C are linear operators and F is a nonlinear operator in appropriate spaces. u is a control variable and v is the state of the system corresponding to u. Under continuity and monotonicity assumptions on A,B,C and F, we obtain a minimizer of functional J in a constrained set as a limit of a sequence of unconstrained minimizers of J.
- Subjects
OPERATOR theory; NONLINEAR operators; NONLINEAR operator equations; PHILOSOPHY of mathematics; EQUATIONS; MATHEMATICAL analysis
- Publication
Nonlinear Studies, 2011, Vol 18, Issue 4, p577
- ISSN
1359-8678
- Publication type
Article