In this paper, the construction problem of the decentralized Bezout identity for singular decentralized control systems is considered. A state space realization of the decentralized Bezout identity for singular decentralized control systems is developed. What is more, the parametrization of all normal decentralized properly stabilizing controllers is characterized and interpreted on the basis of the decentralized Bezout identity presented here. In fact, the work done in this paper is an extension of which was derived for normal decentralized control systems in the references by Date (1991) and Date and Chow (1994).
GAO Zhi\|wei 1,\ Ho Daniel W. C. 2,\ WANG Xian\|lai 1,\ LI Guang\|quan 11. Tianjin University, Tianjin 300072, China 2. City University of Hong Kong, Kowloon, Hong Kong, China
