  We present a dissipative system with unstable dynamics called unstable
dissipative system which are capable of generating a multi-stable behavior,
i.e., depending on its initial condition the trajectory of the system converge
to a specific basin of attraction. A piecewise linear (PWL) systems is
generated based on unstable dissipative systems (UDS) whose main attribute when
they are switched is the generation of chaotic trajectories with multiple wings
or scrolls. For this PWL system a structure is proposed where both the linear
part and the switching function depend on two parameters. We show the range of
values of such parameters where the PWL system presents a multistable behavior
and trajectories with multiscrolls.
