Port-hamiltonian formulation of systems with memory

Proceedings of the IEEE

Volumn 100, Issue 6, 2012, Pages 1928-1937

  Jeltsema, Dimitri ^a   Dòria Cerezo, Arnau ^b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Memory elements; memristive systems; memristor; port based modeling; port Hamiltonian systems

Indexed keywords

ENERGY DISSIPATION; MEMRISTORS;

ELECTRICAL CIRCUIT; FUNDAMENTAL PROPERTIES; INTERCONNECTION STRUCTURE; MEMORY ELEMENT; MEMRISTIVE SYSTEMS; MEMRISTOR; PORT HAMILTONIANS; PORT-HAMILTONIAN SYSTEMS;

HAMILTONIANS;

EID: 84861189029     PISSN: 00189219     EISSN: None     Source Type: Journal    
DOI: 10.1109/JPROC.2011.2164169     Document Type: Conference Paper

References (17)

1. L. O. Chua, "Memristor, the missing circuit element," IEEE Trans. Circuit Theory, vol. 18, no. 5, pp. 507-519, Sep. 1971.
2. L. O. Chua, "Nonlinear circuit foundations for nanodevicesVPart I: The four-element torus," Proc. IEEE, vol. 91, no. 11, pp. 1830-1859, Nov. 2003. (Pubitemid 40890789)
3. L. O. Chua and S. M. Kang, "Memristive devices and systems," Proc. IEEE, vol. 64, no. 2, pp. 209-223, Feb. 1976.
4. L. O. Chua and E. W. Szeto, "High-order nonlinear circuit elements: Circuit-theoretic properties," Int. J. Circuit Theory Appl., vol. 11, no. 2, pp. 187-206, Apr. 1983.
5. C. Civelek, "Mathematical modelling of rotational mechanical elements of higher order and their characteristics," Math. Comput. Model., vol. 43, no. 7-8, pp. 957-964, Apr. 2006.
6. M. Di Ventra, Y. V. Pershin, and L. O. Chua, "Circuit elements with memory: Memristors, memcapacitors, and meminductors," Proc. IEEE, vol. 97, no. 10, pp. 1717-1724, Oct. 2009.
7. V. Duindam, A. Macchelli, S. Stramigioli, and H. Bruyninckx, Eds., Modeling and Control of Complex Physical Systems: The Port-Hamiltonian Approach. New York: Springer-Verlag, 2009.
8. D. Jeltsema and A. Dòria-Cerezo, "Mechanical memory elements: Modeling of systems with position-dependent mass revisited," in Proc. IEEE Conf. Decision Control, Dec. 2010, pp. 3511-3516.
9. D. Jeltsema and J. M. A. Scherpen, "Multi-domain modeling of nonlinear networks and systems: Energy- and power-based perspectives," IEEE Control Syst. Mag., vol. 29, no. 4, pp. 28-59, Aug. 2009.
10. D. Jeltsema and A. J. van der Schaft, "Memristive port-Hamiltonian systems," Math. Comput. Model. Dyn. Syst., vol. 16, no. 2, pp. 75-93, Apr. 2010.
11. G. F. Oster and D. M. Auslander, "The memristor: A new bond graph element," Trans. ASME Dyn. Syst. Control, vol. 94, no. 3, pp. 249-252, 1973.
12. Y. V. Pershin, S. La Fontaine, and M. Di Ventra, "Memristive model of amoeba's learning," Phys. Rev. E, vol. 80, 021926, 2009.
13. M. C. Smith, "Synthesis of mechanical networks: The inerter," IEEE Trans. Autom. Control, vol. 47, no. 10, pp. 1648-1662, Oct. 2002. (Pubitemid 35298551)
14. D. B. Strukov, G. S. Snider, D. R. Stewart, and R. S. Williams, "The missing memristor found," Nature, vol. 453, pp. 80-83, 2008. (Pubitemid 351630336)
15. A. Stulov, "Hysteretic model of the grand piano hammer felt," J. Acoust. Soc. Amer., vol. 97, no. 4, pp. 2577-2585, 1995.
16. R. SüQse, P. Burger, U. Diemar, T. Ströhla, and B. Marx, Theoretische Grundlagen der Elektrotechnik 1, B. G. Tuebner, Ed. Wiesbaden, Germany: Verlag/GWV Fachlage GmbH, 2005.
17. A. J. van der Schaft, L2-Gain and Passivity Techniques in Nonlinear Control. New York: Springer-Verlag, 2000.