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• W2891413689 abstract "This paper is concerned with the controllability problem of impulsive singularly perturbed systems (ISPSs). A new analytical approach is developed by integrating the merits of the fast–slow decomposition, Chang transformation and Gram-like matrix, and then some ε-independent necessary and sufficient controllable conditions are obtained. In addition, the upper bound of ε is given when deriving the sufficient controllable conditions. Moreover, a new type of heterogeneous multiplex multi-time-scale networks is introduced and can be further modeled by ISPSs. Based on matrix theory and graph theory, some intuitive and easy-to-test criteria are deduced for the controllability of the proposed networks. It is shown that the network topology, the nodal dynamics, the leader selection, and the inner-coupling interconnection are important controllable factors. Several numerical examples are presented to show the effectiveness of the proposed results." @default.
• W2891413689 created "2018-09-27" @default.
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• W2891413689 date "2019-02-01" @default.
• W2891413689 modified "2023-10-14" @default.
• W2891413689 title "Controllability of impulsive singularly perturbed systems and its application to a class of multiplex networks" @default.
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• W2891413689 doi "https://doi.org/10.1016/j.nahs.2018.08.011" @default.
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