Fuzzy descriptor systems: stability analysis and design via LMIs
T. Taniguchi, Kazuo A. TANAKA, K. Yamafuji, Hua O. Wang · 1999
A fuzzy descriptor system is defined. Six kinds of stability conditions for the fuzzy descriptor system are derived and represented in terms of linear matrix inequalities (LMIs). The stability analysis is reduced to a problem of finding a common Lyapunov function. An LMI design approach is employed to find stable feedback gains and a common Lyapunov function.