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Abstract
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We consider a new fractional order chaotic system displaying an interesting behavior. A necessary condition
for the system to remain chaotic is derived. It is found that chaos exists in the system with order
less than three. Using the Routh–Hurwitz and the Matignon stability criteria, we analyze the novel chaotic
fractional order system and propose a control methodology that is better than the nonlinear counterparts
available in the literature, in the sense of simplicity of implementation and analysis. A scalar
control input that excites only one of the states is proposed, and sufficient conditions for the controller
gain to stabilize the unstable equilibrium points derived. Numerical simulations confirm the theoretical
analysis.
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