Abstract We consider linear completely integrable Pfaffian systems of differential equations with matrices whose entries are analytic functions. The property of complete controllability of the system in a neighborhood of a regular point is studied. A sufficient condition for a Pfaffian system to have this property is derived. Whether the system has the complete controllability property is determined by a rank equality for some matrix constructed based on the known matrices of the original Pfaffian system.

中文翻译：

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完全可积线性非平稳 Pfaffian 系统的可控性

摘要 我们考虑矩阵项为解析函数的微分方程的线性完全可积 Pfaffian 系统。研究了系统在正则点邻域内的完全可控性。推导出 Pfaffian 系统具有此性质的充分条件。系统是否具有完全可控性是由基于原始 Pfaffian 系统的已知矩阵构造的某个矩阵的秩等式决定的。