“…Optimizing dividend payments is a classical problem starting from the early work of Borch [6,7], Gerber [10]. For some applications of control theory in insurance mathematics, see Højgaard and Taksar [16,18], Martin-löf [20], Asmussen and Taksar [4,9] and He and Liang [13,14,15], Basse, Reddemann, Riegler and Schulenburg [8], Guo, Liu and Zhou [11] and other author's work. Recent surveys can be found in Taksar [23], Avanzi [3], Albrecher and Thonhauser [1].…”