Lenka, Bichitra Kumar ; Banerjee, Soumitro (2018) Sufficient conditions for asymptotic stability and stabilization of autonomous fractional order systems Communications in Nonlinear Science and Numerical Simulation, 56 . pp. 365-379. ISSN 1007-5704
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Official URL: http://doi.org/10.1016/j.cnsns.2017.08.005
Related URL: http://dx.doi.org/10.1016/j.cnsns.2017.08.005
Abstract
We discuss the asymptotic stability of autonomous linear and nonlinear fractional order systems where the state equations contain same or different fractional orders which lie between 0 and 2. First, we use the Laplace transform method to derive some sufficient conditions which ensure asymptotic stability of linear fractional order systems. Then by using the obtained results and linearization technique, a stability theorem is presented for autonomous nonlinear fractional order system. Finally, we design a control strategy for stabilization of autonomous nonlinear fractional order systems, and apply the results to the chaotic fractional order Lorenz system in order to verify its effectiveness.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 129586 |
| Deposited On: | 17 Nov 2022 10:06 |
| Last Modified: | 17 Nov 2022 10:06 |
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