Mixed H∞/passivity based stability analysis of fractional-order gene regulatory networks with variable delays

N. Padmaja and P. Balasubramaniam

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 192, issue C, 167-181

Abstract: In this paper, we derive delay and fractional-order dependent sufficient conditions for fractional-order gene regulatory networks (FOGRNs) with time-varying delays to be stable with H∞/passivity performance. Distinct from the existing works on delayed FOGRNs, the Lyapunov-Krasovskii functional (LKF) is suitably structured so that the delay functions can be non-differentiable or even have jump type discontinuities. Further, the positive-definiteness condition is relaxed for the matrices involved in LKF. A new set of linear matrix inequality (LMI) conditions that ensure the stability of FOGRNs with certain H∞/passivity performance level is derived using various results on fractional derivatives/integrals and convex property of LMIs. Finally, the results obtained are verified with existing FOGRNs via numerical simulations.

Keywords: H∞ performance; Passivity analysis; Stability analysis; Gene regulatory networks; Fractional-order delayed system; Lyapunov functional; Order-dependent LMI (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:192:y:2022:i:c:p:167-181

DOI: 10.1016/j.matcom.2021.08.023

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