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提出一种基于受控因子的非线性能控性分析方法。引入受控因子与阶次差的概念,分析了相同阶次差的受控因子间的关系,给出了一种判别多项式矩阵满秩的方法。最后以文献[1]给出的结论为基础,推导了判别非线性系统弱能控性的新判据。
A nonlinear controllability analysis method based on controlled factor is proposed. The concept of controlled factor and order difference is introduced. The relationship between the controlled factors of the same order difference is analyzed. A method of judging the full rank of the polynomial matrix is given. Finally, based on the conclusion given in [1], a new criterion for discriminating the weakly controllability of nonlinear systems is derived.