Modeling and dynamics of switching electrical LC-circuits

This paper addresses the problem of modeling and dynamic analysis of switching electrical LC-circuits. The dynamic of a simple switching electrical LC-circuit is first formulated as a switched Hamiltonian system due to Kirchhoff´s laws. Then the complex dynamics of the switching electrical LC-circuit is analyzed via the formulated switched Hamiltonian system. We obtain that the switching electrical LC-circuit provides two completely opposite dynamic behaviors: stability and instability, according to different corresponding switching rules. At last, numerical simulations show that the results proposed in this paper is correct.