Solving the global boundary problem for a nonlinear nonstationary controllable system

被引：0

作者：

A. N. Kvitko

机构：

[1] St. Petersburg State University,

来源：

Automation and Remote Control | 2015年 / 76卷

关键词：

Cauchy Problem; Remote Control; Exponential Stability; Numerical Implementation; Auxiliary Problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We propose algorithms for constructing differentiable controlling functions that are easily amenable for numerical implementation and guarantee a transition of a wide class of nonlinear and quasilinear systems of ordinary differential equations from the initial state to an arbitrary point in the phase space. We derive constructive sufficient conditions imposed on the right-hand side of the controllable system under which such a transition is possible. We consider the interorbital flight problem and perform numerical modeling for this problem.

引用

页码：44 / 63

页数：19

共 7 条

[1]

Komarov VA(1984)Design of Constrained Control Signals for Nonlinear Non-Autonomous Systems Autom. Remote Control 45 1280-1286

[2]

Krishchenko AP(1984)Controllability and Attainability Sets of Nonlinear Control Systems Autom. Remote Control 45 707-713

[3]

Huashu O(1985)On the Controllability of Nonlinear Control System Comput. Math. 10 441-451

[4]

Panteleev VP(1985)On the Controllability of Nonstationary Linear Systems Differ. Uravn. 21 623-628

[5]

Korobov VI(1986)Almost Full Controllability of Linear Stationary Systems Ukr. Mat. Zh. 38 163-169

[6]

Aisagaliev SA(1991)On the Theory of the Controllability of Linear Systems Autom. Remote Control 52 163-171

[7]

Kvitko AN(2012)On One Method of Solving a Boundary Problem for a Nonlinear Nonstationary Controllable System Taking Measurement Results into Account Autom. Remote Control 73 2021-2037

← 1 →