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In this paper we present a version of the balancing technique for nonlinear positive/bounded real systems. We discuss an approach to study related nonlinear systems that allow us to apply the theory of balancing based upon the Hankel operator and the corresponding singular value analysis. We provide balanced realizations of these systems. If we truncate them accordingly, the reduced order models will...
In this paper an approach to reduce nonlinear non-observable and non-strongly accessible port-Hamiltonian systems to an observable and strongly accessible port-Hamiltonian system, respectively, is treated. A local state decomposition (the nonlinear version of the Kalman decomposition) is instrumental for the approach that preserves the port-Hamiltonian structure. The strongly accessible reduction...
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