Please use this identifier to cite or link to this item:
|Title:||Controllability of impulsive singularly perturbed systems and its application to a class of multiplex networks||Authors:||Yang, Wu
|Keywords:||Engineering::Electrical and electronic engineering||Issue Date:||2019||Source:||Yang, W., Wang, Y., Guan, Z. & Wen, C. (2019). Controllability of impulsive singularly perturbed systems and its application to a class of multiplex networks. Nonlinear Analysis: Hybrid Systems, 31, 123-134. https://dx.doi.org/10.1016/j.nahs.2018.08.011||Journal:||Nonlinear Analysis: Hybrid Systems||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.||URI:||https://hdl.handle.net/10356/151324||ISSN:||1751-570X||DOI:||10.1016/j.nahs.2018.08.011||Rights:||© 2018 Elsevier Ltd. All rights reserved.||Fulltext Permission:||none||Fulltext Availability:||No Fulltext|
|Appears in Collections:||EEE Journal Articles|
Updated on Jan 20, 2022
Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.