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The asymptotic stability to the origin for a class of underdamped, nonautonomous, nonlinear, Hamiltonian systems is investigated. For this class of systems, the step from stability to uniform asymptotic stability needs some hard additional conditions to hold true. In principle, these conditions are of observability type, that are difficult to be checked due to the nonlinearities and nonautonomous...
Distributed generation, along with its advantages, raises new challenges in terms of modeling power systems and conducting stability analysis. In this framework, the stability analysis of synchronous generators plays a key role. Hence, starting from the complete nonlinear model of the generator and formulating suitable storage functions input-to-state stability of the synchronous machine is proven...
The stability of a large class of nonlinear, nonautonomous systems is analysed. In particular, our main contribution is to formulate some easier to verify sufficient conditions for asymptotic stability. To this end, invariance properties of the system are exploited even in the nonautonomous system case in order to derive a rank based asymptotic stability condition. The approach used in this paper,...
A sufficient rank condition that guarantees uniform asymptotic stability at the origin for a class of underdamded dissipative nonautonomous Hamiltonian system is derived. To this end, first it is shown that this kind of systems require an observability condition to hold true for asymptotic stability. However, since observability cannot be easily checked for nonautonomous systems, this condition is...
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