Extended feedback and simulation strategies for a delayed fractional-order control system

Abstract This paper showcases the bifurcation control of a delayed fractional predator–prey system via ingenious extended delayed feedback methodology. The gestation delay acts as a bifurcation parameter to decide the bifurcation point of the controlled system. Then it reflects that bifurcation occurs upon eliminating the devised controller. Besides, the impact of fractional orders, feedback gain and extended delay on the bifurcation point is exquisitely explored. It hints that bifurcation emergence can be efficaciously handicapped by modulating fractional order, feedback gain and extended feedback delay. The efficiency of the developed control scheme is neatly checked by simulations results.

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