RESEARCH ANNOUNCEMENTS ON“MINIMAL TIME CONTROL OF EXACT SYNCHRONIZATION FOR PARABOLIC SYSTEMS”

正1 Introduction and Main Results LetΩ■R~d (with d≥1) be a bounded domain with a C~2 boundary Ω.Letω■Ωbe an open and nonempty subset with its characteristic function χ_ω.Let A■(a_(ij))_(1≤i,j≤n)∈R~(n×n)and B■(b_(ij))_(1≤i≤n,1≤j≤m)∈R~(n×m) be two constant matrices,where n≥2 and m≥1.Let y_0∈L~2(Ω)~n.Consider the controlled linear parabolic system