ABSTRACT

In this chapter the construction of controls in the system (3.1) will be made, which ensure the conditional invariance and the uniform asymptotic stability of solutions of the system (3.1) with respect to the pair of moving sets (A,B). As follows from the previous chapter, this problem can be reduced to the study of the conditional invariance and the uniform asymptotic stability of the solutions of the system (3.1) with respect to the pairs (A+, B+) and (A−, B−). In its turn, the study of the conditional invariance and the uniform asymptotic stability of the pair (A−, B−) is reduced to the analysis of the pair (A+1 , B

for an inverse system corresponding to the system (3.1).