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| This paper investigates the stability of nonlinear Hybrid Dissipative Hamiltonian (HDH) systems with infinite number of switching subsystems, and presents a number of results on the stability analysis for two types of the HDH systems under arbitrary/restricted switching laws. Under a realistic assumption, it is shown that the hybrid systems are stable under arbitrary switching laws. Based on the dissipative Hamiltonian structural
properties and the zero-state detectibility of the subsystems, the asymptotical stability under arbitrary/restricted switching laws is
then investigated, and several interesting results on the asymptotical stability are proposed for the two types of systems,
respectively. Finally, via Hamiltonian realization, the results obtained for the hybrid Hamiltonian systems are applied to more
general nonlinear hybrid systems with infinite number of switching subsystems, and several stability results are also presented in this
paper. Study on examples with numerical simulations shows that the results obtained in this paper are very practicable in analyzing the
stability of hybrid systems with infinite number of switching subsystems. |
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| Keywords:HDH system with infinite number of switching subsystems，Stability, Dissipative structure, Zero-state detectibility，Energy-based stability analysis |
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