ROBUST STABILIZATION OF A CLASS OF THREE-DIMENSIONAL UNCERTAIN FRACTIONAL-ORDER NON-AUTONOMOUS SYSTEMS

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HAGHIGHI A.R.; POURMAHMOOD AGHABABA M.; ROOHI M.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2014 | Volume:6 | Issue:2 Page(s): 133-139

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Information Journal Paper

Title

ROBUST STABILIZATION OF A CLASS OF THREE-DIMENSIONAL UNCERTAIN FRACTIONAL-ORDER NON-AUTONOMOUS SYSTEMS

Author(s)

HAGHIGHI A.R. | POURMAHMOOD AGHABABA M. | ROOHI M. | Issue Writer Certificate

Keywords

CONTROLQ2

SINGLE CONTROL INPUTQ2

FRACTIONAL-ORDER SYSTEMSQ2

Abstract

This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active CONTROL approach is proposed for CONTROL and stabilization of three-dimensional uncertain FRACTIONAL-ORDER SYSTEMS. The robust CONTROLler is designed on the basis of fractional Lyapunov stability theory. Furthermore, the effects of model uncertainties are fully taken into account. Also, the robust stability and access to the equilibrium point of the CONTROL scheme are analytically proved. Moreover, fast response and easy realization in real world applications are some special features of the suggested method. Finally, as a numerical simulation, CONTROL and stabilization of three-dimensional uncertain fractional-order Chen system is provided to illustrate the usefulness and applicability of the proposed approach in practice. It is worth to notice that the proposed active CONTROL approach can be employed for robust stabilization of a large class of three-dimensional uncertain nonlinear fractional-order non autonomous dynamical systems.

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References

ROBUST FINITE-TIME STABILIZATION OF FRACTIONAL-ORDER CHAOTIC SYSTEMS BASED ON FRACTIONAL LYAPUNOV STABILITY THEORY

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APA: Copy

HAGHIGHI, A.R., POURMAHMOOD AGHABABA, M., & ROOHI, M.. (2014). ROBUST STABILIZATION OF A CLASS OF THREE-DIMENSIONAL UNCERTAIN FRACTIONAL-ORDER NON-AUTONOMOUS SYSTEMS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 6(2), 133-139. SID. https://sid.ir/paper/231803/en

Vancouver: Copy

HAGHIGHI A.R., POURMAHMOOD AGHABABA M., ROOHI M.. ROBUST STABILIZATION OF A CLASS OF THREE-DIMENSIONAL UNCERTAIN FRACTIONAL-ORDER NON-AUTONOMOUS SYSTEMS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2014;6(2):133-139. Available from: https://sid.ir/paper/231803/en

IEEE: Copy

A.R. HAGHIGHI, M. POURMAHMOOD AGHABABA, and M. ROOHI, “ROBUST STABILIZATION OF A CLASS OF THREE-DIMENSIONAL UNCERTAIN FRACTIONAL-ORDER NON-AUTONOMOUS SYSTEMS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 6, no. 2, pp. 133–139, 2014, [Online]. Available: https://sid.ir/paper/231803/en

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