Mixed H∞/passivity based stability analysis of fractional-order gene regulatory networks with variable delays
| Autor: | P. Balasubramaniam, N. Padmaja |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Numerical Analysis
General Computer Science Applied Mathematics Passivity Linear matrix inequality Regular polygon Classification of discontinuities Stability (probability) Theoretical Computer Science Fractional calculus Modeling and Simulation Jump Applied mathematics Variable (mathematics) Mathematics |
| Zdroj: | Mathematics and Computers in Simulation. 192:167-181 |
| ISSN: | 0378-4754 |
| DOI: | 10.1016/j.matcom.2021.08.023 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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