Abstract

Delta operator based implementations have gained interest due to their excellent finite word length performance under fast sampling [82, 170]. Delta operator models have been studied extensively, for example [137, 142, 176, 177, 194]. Some control problems have also been obtained in recent years, such as [33, 123, 215, 222, 307]. Recently, a robust SMC method has been considered for a class of time-delay DOSs [254]. Furthermore, Markovian jump systems have attracted a lot of researchers from control and operations research communities, for example [95, 208, 211, 245, 247], The stability and stabilization problems for both continuous-time and discrete-time Markovian jump systems were investigated in [298]. Some results on Markovian jump systems with time delays have also been given in [299, 300].

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