Abstract
AbstractIn this chapter, a positive \(\mathscr {L}_1\) filter is designed for positive nonlinear phase-type semi-Markov jump systems (S-MJSs). By means of the supplementary variable and the plant transformation technique, phase-type S-MJSs are transformed into Markov jump systems (MJSs). Next, according to the normalized membership function, the associated nonlinear MJSs are transformed into the local linear MJSs with specific T-S fuzzy rules.
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