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This paper is aimed to explore the relationship between the network topology and the network performance in terms of long-term voltage stability. For this purpose, performance indicators for taking into account both aspects are proposed. A six bus test system is proposed, two operational conditions are presented, and eight different grid topologies are investigated. The results show that long-term...
The inverted pendulum system has been widely studied to test control techniques of nonlinear systems. We introduce a new alternative to control systems with complex dynamics, based on evolutionary game theory. Specifically, we use dynamics that are represented by the replicator equation, which has been successfully used in autonomous systems, control flight, and temperature control. Simulation results...
A polynomial approach to deal with the stability analysis of switched non-linear systems under arbitrary switching using dissipation inequalities is presented. It is shown that a representation of the original switched problem into a continuous polynomial system allows us to use dissipation inequalities for the stability analysis of polynomial systems. With this method and from a theoretical point...
A polynomial approach to deal with stability analysis of polynomial switched systems, i.e., polynomial continuous systems with switching signals, using dissipation inequalities under arbitrary switching is presented. It is shown that the representation of the original switched problem into a continuous polynomial systems allows us to use the dissipation inequality for polynomial systems. With this...
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