On Stability of Periodic Motions in a Switching System With Multiple Subsystems

In this paper, the stability and bifurcation of periodic flows in a switching system of multiple subsystems with transport laws at switching points is investigated. The linear switching systems used as an example for illustration. Analytical prediction and numerical illustrations of periodic flows in linear switching systems are carried out for a better understanding of dynamical behaviors of switching systems. The effects of the transport laws in the switching systems are also discussed.