Invariant submanifolds for affine control systems

Han Chong-Kyu; Kim Hyeseon

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Invariant submanifolds for affine control systems

机译：对仿射不变流形控制系统

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摘要

Given an affine control system (X) over dot = f (x) + Sigma(m)(j=1) gj(x)u(j) we present a method of construction of submanifolds that are invariant under controls assuming that the linear span of f, g(1), ..., g(m) has constant rank. We use the method of reduction of Pfaf-fian systems to the largest integrable subsystem and finding first integrals and generalized first integrals for the vector fields f and g(j).

机译：给定一个仿射控制系统在点= f (X)σ(x) + (m) (j = 1) gj u (x) (j)提出了一种方法的建设子流形不变的假设线性控制之下的f, g(1)……使用的方法减少Pfaf-fian系统最大的可积的子系统和发现第一积分和广义积分向量场的f和g (j)。

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来源
《Annales Polonici Mathematici》 |2020年第1期|61-73|共13页
作者
Han Chong-Kyu; Kim Hyeseon;
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作者单位

Seoul Natl Univ, Res Inst Math, 1 Gwanak Ro, Seoul 08826, South Korea;

Seoul Natl Univ, Dept Math Sci, 1 Gwanak Ro, Seoul 08826, South Korea;

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正文语种英语
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关键词
controllability; Affine; InvariantIn-lawConstruction methodscontrol systemsIntegral equationsfirst integralintegration;

机译：可控性,仿射;InvariantIn-lawConstructionmethodscontrol systemsIntegral equationsfirstintegralintegration;

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Invariant submanifolds for affine control systems

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