A note on passivity of nonlinear RL and RC circuits

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 15, Issue 1, 2002, Pages 31-35

  Ortega, Romeo ^a   Shi, Bertram E ^b  

^a UNIV PARIS SUD   (France)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATION; INDUCTANCE; LYAPUNOV FUNCTIONS; TIMING CIRCUITS;

CHARACTERISTIC FUNCTIONS; CURRENT DERIVATIVES; EXTERNAL SOURCES; NONLINEAR STABILIZATION; PASSIVITY PROPERTIES; STORAGE FUNCTION; STORED ENERGY; TELLEGEN'S THEOREMS;

CAPACITANCE;

EID: 84945542390     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20020721-6-es-1901.00255     Document Type: Conference Paper

References (8)

1. Brayton, R. and J. Moser, A theory of nonlinear networks - I, Quart, of App. Math., vol. 22, pp 1-33, April, 1964.
2. Desoer, C. A. and E. S. Kuh, Basic Circuit Theory, McGraw-Hill, NY, 1969.
3. Millar, W., Some general theorems for nonlinear systems possesing resistance, Phil. Mag., vol. 42, 1951, pp. 1150-1160.
4. Ortega, R., A. van der Schaft, I. Mareels and B. Maschke: Putting energy back in control, IEEE Control Syst. Magazine, Vol. 21, No. 2, April 2001, pp. 18-33.
5. Penfield, P., R. Spence and S. Duinker, Tellegen's Theorem and Electrical Networks, MIT Press, 1970.
6. Shi, B. E., Focal plane implementation of 2D steerable and scalable Gabor-type filters, J of VLSI Signal Processing, 23, 319-334 (1999).
7. Weiss, L., W. Mathis and L. Trajkovic, A generalization of Brayton-Moser's mixed potential function, IEEE Trans. Circuits and Systems - I, April 1998.
8. Wyatt, J. L., Little-known properties of resistive grids that are useful in analog vision chip designs, in Vision Chips: Implementing Vision Algorithms with Analog VLSI Circuits, eds. C. Koch and H. Li, IEEE Computer Science Press, NJ, 1995.