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- W133068644 abstract "We review some ideas on conservative dynamical systems and show how this leads to the notion of a nonlinear Livsic-Brodskii node, where the vector field A(x) defining the internal dynamics for the system replaces the linear operator A appearing in the linear theory. We show that under certain hypotheses two vector fields leading to the same Livsic-Brodskii characteristic input-outmap map are equivalent via an energy-preserving diffeomorphic change of variable, a nonlinear analogue of one of the main theorems in the linear theory. We also survey related issues concerning lossless and dissipative systems for both the linear and nonlinear case, including an application to the standard problem of H ∞-control theory." @default.
- W133068644 created "2016-06-24" @default.
- W133068644 creator A5081427672 @default.
- W133068644 date "1994-01-01" @default.
- W133068644 modified "2023-10-18" @default.
- W133068644 title "Conservative Dynamical Systems and Nonlinear Livsic-Brodskii Nodes" @default.
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- W133068644 doi "https://doi.org/10.1007/978-3-0348-8522-5_3" @default.
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