Krasnosel’skij, A. M.; Rachinskij, D. I. 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 PDF BibTeX XML Cite \textit{A. M. Krasnosel'skij} and \textit{D. I. Rachinskij}, Autom. Remote Control 61, No. 8, Part 1, 1259--1262 (2000; Zbl 1059.34509); translation from Avtom. Telemekh. 2000, No. 8, 25--29 (2000)