Limit cycles in locally Hamiltonian systems with dissipation
Por:
Castaños F., Gromov D.
Publicada:
1 ene 2021
Categoría:
Control and systems engineering
Resumen:
We consider systems that possess a local but non-global port-Hamiltonian representation. We show that non-globality is a consequence of the phase-space topology and that local port-Hamiltonian systems may transgress the dissipation inequality satisfied by their global counterparts. Far from being a defect, non-globality extends the modeling power of port-Hamiltonian systems by providing a framework to model cyclic physical processes for energy conversion and extraction. © The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)
Filiaciones:
Castaños F.:
Departamento de Control Automático, Cinvestav-IPN, 2508 Av. Instituto Politécnico Nacional, Mexico City, 07360, Mexico
Gromov D.:
Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, Russian Federation
Bronze
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