Bistable behavior via switching dissipative systems with unstable dynamics and its electronic design

Abstract

"In this work we present a design of a bistable system and its electronic circuit which is generated by a switching system. The switching system is comprised by dissipative subsystems with unstable dynamics based on the jerk equation. For this system with unstable dynamics, it is necessary to use a switching control law in order to change the equilibrium point of the linear part and get bounded trajectories. Also the dynamics of the piecewise linear (PWL) system is illustrated by numerical simulations to depict the bistable states. We present an easy electronic design of the proposed system by employing resistors, capacitors and comparators, to exhibit the capability to generate bistable behavior."