CONTROLLED INVARIANT DISTRIBUTIONS FOR A CLASS OF NONLINEAR DIFFERENTIAL-ALGEBRAIC SYSTEMS AND THEIR INVARIANT PROPERTIES
一类微分代数系统的受控不变分布及其不变性

In this paper, by means of M-derivative methods, the concept of controlled invariant distributions is introduced to a class of nonlinear differential-algebraic systems, and some invariant properties on this distribution are discussed. An algorithm of calculating the maximal controlled invariant distributions contained in the system output kernel is developed, and some properties on this algorithm are discussed. An example of calculating the maximal controlled invariant distributions contained in the system output kernel is provided to illustrate the results of the paper.