Asymptotic solution of the optimal speed problem for the quasilinear system under Euclidean constraint on control. (English. Russian original) Zbl 1231.49019
Autom. Remote Control 68, No. 8, 1391-1400 (2007); translation from Avtom. Telemekh. 2007, No. 8, 106-115 (2007).
Summary: For the system with a small parameter under nonlinearities, consideration was given to the problem of optimal speed. The values of the multivariable control actions are bounded in the Euclidean norm. The theorem of existence and asymptotic properties of the solution of this problem was proved. It underlies the algorithm to construct asymptotic arbitrary-order approximations to the optimal control.
MSC:
| 49K15 | Optimality conditions for problems involving ordinary differential equations |
| 93C10 | Nonlinear systems in control theory |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93C35 | Multivariable systems, multidimensional control systems |
References:
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