کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1138052 1489202 2007 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimal movement control models of Langevin and Hamiltonian types
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Optimal movement control models of Langevin and Hamiltonian types
چکیده انگلیسی

We study a class of optimal stochastic control problems arising from the control of movements. Exact solutions are first presented for linear cases for both the during- and post-movement control problem, depending on a parameter α>0α>0. It is found that for the Langevin type equation and for the post-movement control case, a non-degenerate solution exists only when α>1/2α>1/2. For the Langevin type equation and for the during-movement control, a non-degenerate solution is found when α>1α>1. For the post-movement control and the Hamiltonian type equation, an optimal control signal is obtained and is non-degenerate when α>1/2α>1/2. Again for the during-movement control, we find an optimal non-degenerate control signal when α>1α>1. All results are then generalized to nonlinear control cases (the first order perturbation of linear cases). Numerical examples are included to illustrate the applications of our results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 46, Issues 5–6, September 2007, Pages 680–698
نویسندگان
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