Controllability distributions of a class of nonlinear differential-algebraic systems
一类非线性微分代数系统的能控性子分布

The controllability distributions play an important role in controllability decompositions of the systems. By means of M-derivative methods, the concept of controllability distributions is introduced for a class of nonlinear differential-algebraic systems. An algorithm for calculating the maximal controllability distributions contained in some distributions is developed, and some properties on this algorithm are discussed. Finally, an example of calculating the maximal controllability distributions contained in some distributions is provided to illustrate the results.