Stability analysis for fuzzy descriptor systems

Zhiwei Gao · Systems engineering and electronics · 2005

The quadratic stability of fuzzy descriptor system is investigated. The necessary condition is presented for the existence of a common matrix X ensuring the stability. With the LMIs (linear matrix inequalities) technique, a method of solving the inequalities is deduced. Out result reduce computation obviously compared with the previous one. Then a feedback controller design approach and the corresponding necessary condition are given. Finally, a numerical example is given.

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