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The Hamiltonian nature of Lur’e systems. (English. Russian original) Zbl 1059.34509
Autom. Remote Control 61, No. 8, Part 1, 1259-1262 (2000); translation from Avtom. Telemekh. 2000, No. 8, 25-29 (2000).
Summary: Simple conditions for a Lur’e control system to be of Hamiltonian nature are formulated. An explicit algorithm for constructing the Hamiltonian in terms of controllability and observability matrices is designed.
MSC:
34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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