Controllability analysis of complex-valued impulsive systems with time-varying delays

Yan, Jiayuan; Hu, Bin; Guan, Zhi‐Hong; Cheng, Ximing; Li, Tao

doi:10.1016/j.cnsns.2019.105070

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2020

2024

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Cited by 9 publications

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“…Due to the extensive applications in many fields, impulsive systems have received considerable attention. For example, reference [30] studied the controllability of complex-valued impulsive systems with time-varying delay in control input. Reference [31] concerned the Lyapunov stability problem for impulsive systems via event-triggered impulsive control.…”

Section: Introductionmentioning

confidence: 99%

Output Tracking of Boolean Control Networks With Impulsive Effects

Feng

2020

IEEE Access

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In this article, the output tracking of Boolean control networks with impulsive effects (BCNs-IE) is discussed. Based on structure matrices of BCNs-IE and controllability matrices with respect to state subsets, stable complex attractors are studied. By constructing an auxiliary BCN-IE and using stable complex attractors, a necessary and sufficient condition for the output tracking problem is proposed. In addition, an algorithm to design state feedback controllers for the output tracking problem is provided. Moreover, an example is given to show the validity of the obtained results. INDEX TERMS Boolean control network, impulsive effect, output tracking, stable complex attractor, state feedback controller.

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Section: Introductionmentioning

confidence: 99%