Abstract
This paper considers the decentralized tracking control problem for stochastic high-order time-delay switched nonlinear systems. By designing a common Lyapunov–Krasovskii (L–K) functional and using a homogeneous domination approach, we construct an output tracking controller under arbitrary switching to guarantee that the tracking error can be tuned small enough in the mean-square sense while all states of the closed-loop system remain to be bounded in probability. Finally, a chemical reactor system with delayed recycle streams is used to verify the effectiveness of our developed theory.
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