Abstract
The problem of roust stabilization for linear time-varying uncertain periodic descriptor systems is revisited. Based on the concept of robust stability for linear time-varying uncertain periodic descriptor systems, a necessary and sufficient condition for robust stability is put forward. The robust stabilization problem is also studied and the corresponding necessary and sufficient condition is given using the notation of dual system. The obtained matrix inequality conditions can be transformed to linear matrix inequality ones with the introduction of some free matrices, which makes the analysis and design procedure simple and reliable.
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