GLOBAL EXACT CONTROLLABILITY AND ASYMPOTIC STABILIZATION OF THE PERIODIC TWO-COMPONENT μρ-HUNTER-SAXTON SYSTEM.

In this paper, we discuss two main problems. In the first section, we establish a new global distributed exact controllability of the periodic two-component μρ-Hunter-Saxton system on the circle by means of a distributed control. And in the second section, we present corresponding result of the as- ymptotic stabilization problem about the periodic two-component μρ-Hunter-Saxton system. By presenting concrete form of the feedback law, an equivalent system is got. [ABSTRACT FROM AUTHOR]