Asymptotics of the Solution to the Minimization Problem of the Integral Quadratic Performance Index on Trajectories of a Quasi-Linear System
- 作者: Kalinin A.1, Lavrinovich L.1
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隶属关系:
- Belarussian State University
- 期: 卷 58, 编号 5 (2019)
- 页面: 695-706
- 栏目: Optimal Control
- URL: https://journals.rcsi.science/1064-2307/article/view/220471
- DOI: https://doi.org/10.1134/S1064230719050058
- ID: 220471
如何引用文章
详细
The problem of minimizing an integral quadratic performance index on the trajectories of a quasi-linear dynamic system with a small parameter multiplying the nonlinearities subject to terminal constraints is considered. Asymptotic approximations of the optimal control in this problem in the form of open loop control and feedback are constructed. The computations are reduced to solving the unperturbed linear-quadratic problem, integrating systems of linear differential equations, and finding the roots of nonsingular linear algebraic systems.
作者简介
A. Kalinin
Belarussian State University
编辑信件的主要联系方式.
Email: kalininai@bsu.by
白俄罗斯, Minsk
L. Lavrinovich
Belarussian State University
编辑信件的主要联系方式.
Email: lavrinovich@bsu.by
白俄罗斯, Minsk
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