Global fractional-order projective dynamical systems |
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| Affiliation: | 1. Department of Electrical Engineering, Guilin College of Aerospace Technology, Guilin 541002, PR China;2. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541003, PR China;3. School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China;1. Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore;2. Qiming Venture Partners, Shanghai 200121, China |
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| Abstract: | This paper studies a class of global fractional-order projective dynamical systems. First, we show the existence and uniqueness of the solution of this type of system. Then, the existence of the equilibrium point of this class of dynamical systems is obtained. Further more, we obtain the α-exponential stability of the equilibrium point under suitable conditions. In addition, we use a predictor–corrector algorithm to find a solution to this kind of system. Finally a numerical example is provided to illustrate the results obtained in this paper. |
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| Keywords: | Fractional-order calculus Projective dynamical systems Stability Equilibrium point |
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