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Noise-to-state stability of random switched systems is investigated in this technical note. By the aid of Fubini's formula, the criteria on noise-to-state stability in the moment of random switched systems are established under a reasonable assumption of second-order processes. As applications, the control problems of spring pendulum in random environment are researched. In addition, nonlinear filtering is considered to ensure noise-to-state stability of filter error switched systems.
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Zhang et al. (2015) studied this question.
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