Explore The Controllability Of Differential Inclusions

In recent years, with the constantly development of the theory of differential development includes, the study of the system controllability increasingly has been enlivened. Differential inclusion theory is an important branch of the non-linear analysis, the existence of solutions of differential inclusions and control are the basic content of the theory of differential inclusion.First, the article describes some prior knowledge. Including some basic concepts in the functional analysis and related definitions, theorems and so on.Next, study the semi-linear system: controllability problems, establish the sufficient condition of controllability. The use of fixed point theorem discusses the controllability problem of a class of differential inclusions with nonlocal conditions, Approach is to discuss the issue into the fixed point problem, the use of fixed-point theorem to establish a sufficient condition for controllability;Finally, using fixed-point theorem as a class of integral differential inclusion, again: controllability problem, thus, established a sufficient condition of controllability.