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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 7, Pages 1241–1250
(Mi zvmmf442)
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A method for solving a boundary problem for a nonlinear controlled system
A. N. Kvitko St. Petersburg State University, Universitetskii pr. 35,
St. Petersburg, 198504, Russia
Abstract:
An algorithm is proposed for constructing a control function that transfers a wide class of nonlinear systems of ordinary differential equations from an initial state to an arbitrarily small neighborhood of a given terminal state. The algorithm is convenient for numerical implementation. Taking into account the restrictions on the control and phase coordinates, a constructive criterion is obtained for choosing terminal states for which this transfer is possible. The problem of an interorbital flight is considered and modeled numerically.
Key words:
controlled system, boundary conditions, stabilization, phase coordinates.
Received: 18.04.2005
Citation:
A. N. Kvitko, “A method for solving a boundary problem for a nonlinear controlled system”, Zh. Vychisl. Mat. Mat. Fiz., 46:7 (2006), 1241–1250; Comput. Math. Math. Phys., 46:7 (2006), 1176–1185
Linking options:
https://www.mathnet.ru/eng/zvmmf442 https://www.mathnet.ru/eng/zvmmf/v46/i7/p1241
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Statistics & downloads: |
Abstract page: | 306 | Full-text PDF : | 142 | References: | 46 | First page: | 1 |
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