On differential passivity of physical systems

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2013, Pages 6580-6585

  Forni, F ^a   Sepulchre, R ^a,b   Van Der Schaft, A J ^c  

^a UNIVERSITY OF LIÈGE   (Belgium)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

BRAYTON; CO-ENERGY; GRADIENT SYSTEMS; MODEL FRAMEWORK; NONLINEAR ELECTRICAL CIRCUIT; PHYSICAL SYSTEMS; POINT WISE;

CONTROL ENGINEERING;

EID: 84897728776     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2013.6760930     Document Type: Conference Paper

References (16)

1. D. Bao, S.S. Chern, and Z. Shen. An Introduction to Riemann-Finsler Geometry. Springer-Verlag New York, Inc. (2000), 2000.
2. P.E. Crouch and A.J. vanderSchaft. Variational and Hamiltonian control systems. Lecture notes in control and information sciences. Springer, 1987.
3. B.P. Demidovich. Dissipativity of a system of nonlinear differential equations in the large. Uspekhi Mat. Nauk, 16(399)):216, 1961.
4. C.A. Desoer and M. Vidyasagar. Feedback Systems: Input-Output Properties, volume 55 of Classics in Applied Mathematics. Society for Industrial and Applied Mathematics, 1975.
5. F. Forni and R. Sepulchre. A differential Lyapunov framework for contraction analysis. http://arxiv.org/abs/1208.2943, 2012.
6. F. Forni and R. Sepulchre. On differentially dissipative dynamical systems. In 9th IFAC Symposium on Nonlinear Control Systems, 2013.
7. D. Jeltsema and J.M.A. Scherpen. A dual relation between port- Hamiltonian systems and the Brayton-Moser equations for nonlinear switched rlc circuits. Automatica, 39(6):969 - 979, 2003.
8. D. Jeltsema and J.M.A. Scherpen. Multidomain modeling of nonlinear networks and systems. Control Systems, IEEE, 29(4):28 -59, 2009.
9. W. Lohmiller and J.E. Slotine. On contraction analysis for non-linear systems. Automatica, 34(6):683-696, June 1998.
10. I.R. Manchester and J.E. Slotine. Contraction criteria for existence, stability, and robustness of a limit cycle. arXiv, 2013.
11. A. Pavlov, N. van de van de Wouw, and H. Nijmeijer. Uniform output regulation of nonlinear systems: A convergent dynamics approach, 2005.
12. G. Russo, M. Di Bernardo, and E.D. Sontag. Global entrainment of transcriptional systems to periodic inputs. PLoS Computational Biology, 6(4):e1000739, 2010.
13. G.B. Stan and R. Sepulchre. Analysis of interconnected oscillators by dissipativity theory. IEEE Transactions on Automatic Control, 52(2):256 -270, 2007.
14. L. Tamassy. Relation between metric spaces and Finsler spaces. Differential Geometry and its Applications, 26(5):483 - 494, 2008.
15. A.J. vanderSchaft. On the relation between port-Hamiltonian and gradient systems. In Proceedings of the 18th IFAC World Congress, pages 3321-3326, 2011.
16. A.J. vanderSchaft. On differential passivity. In 9th IFAC Symposium on Nonlinear Control Systems, 2013.