State discontinuity analysis of linear switched systems via energy function optimization

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn , Issue , 2008, Pages 540-543

  Frasca, Roberto ^a   Camlibel, M Kanat ^b,c   Goknar, Izzet Cem ^b   Iannelli, Luigi ^a   Vasca, Francesco ^a  

^a UNIVERSITY OF SANNIO   (Italy)

^b DOGUS UNIVERSITY   (Turkey)

^c UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER NETWORKS; LAPLACE TRANSFORMS; OPTIMIZATION;

ENERGY FUNCTIONS; IDEAL SWITCHES; INTERNATIONAL SYMPOSIUM; PASSIVE ELEMENTS;

ELECTRIC NETWORK ANALYSIS;

EID: 51749108428     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISCAS.2008.4541474     Document Type: Conference Paper

References (23)

1. A. Dervisoglu, "State equations and initial values in active rlc networks," IEEE Trans. on Circuit Theory, vol. 18, no. 5, pp. 544-547, 1971.
2. S. Seshu and N. Balabanian, Linear Network Analysis. John Wiley & Sons, 1964.
3. A. M. Sommariva, "Solving the two capacitor paradox through a new asymptotic approach," IEE Proc.-Circuits Devices and Systems, vol. 150, no. 3, pp. 227-231, 2003.
4. M. Liou, "Exact analysis of linear circuits containing periodically operated switches with app." IEEE Trans. on Circuit Theory, vol. 19, no. 2, pp. 146-154, 1972.
5. M. Tanaka, "Formulations for switching transformation matrices of large switched networks," IEEE Int. Symp. on Circuits and Systems, vol. 2, pp. 1487-1490, 1988.
6. Y. Murakami, "A method for the formulation and solution of circuits composed of switches and linear rlc elements," IEEE Trans. on Circuits and Systems, vol. 34, no. 5, pp. 496-509, 1987.
7. J. Tolsa and M. Salichs, "Analysis of linear-networks with inconsistent initial conditions," IEEE Trans. on Circuits and Systems I-Fund. Theory and App., vol. 40, no. 12, pp. 885-894, 1993.
8. I. C. Goknar, "Conservation of energy at initial time for passive rlcm network," IEEE Trans. on Circuit Theory, vol. CT19, no. 4, pp. 365-&, 1972.
9. A. Opal and J. Vlach, "Consistent initial conditions of linear switched networks," IEEE Trans. on Circuits and Systems, vol. 37, no. 3, pp. 364-372, 1990.
10. A. Opal, "The transition matrix for linear circuits," IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems, vol. 16, no. 5, pp. 427-436, 1997.
11. A. Opal and J. Vlach, "Consistent initial conditions of nonlinear networks with switches," IEEE Trans. on Circuits and Systems, vol. 38, no. 7, pp. 698-710, 1991.
12. Q. Li and F. Yuan, "Time-domain response and sensitivity of periodically switched nonlinear circuits," IEEE Trans. on Circuits and Systems I-Fund. Theory and App., vol. 50, no. 11, pp. 1436-1446, 2003.
13. R. Sincovec, A. Erisman, E. Yip, and M. Epton, "Analysis of descriptor systems using numerical algorithms," IEEE Trans. on Automaic Control, vol. 26, no. 1, pp. 139-147, 1981.
14. Z. Zuhao, "ZZ model method for initial condition analysis of dynamics networks," IEEE Trans. on Circuits and Systems, vol. 38, no. 8, pp. 937-941, 1991.
15. A. Massarini, U. Reggiani, and M. K. Kazimierczuk, "Analysis of networks with ideal switches by state equations," IEEE Trans. on Circuits and Systems I-Fund. Theory and App., vol. 44, no. 8, pp. 692-697, 1997.
16. B. De Kelper, L. A. Dessaint, K. Al-Haddad, and H. Nakra, "A comprehensive approach to fixed-step simulation of switched circuits," IEEE Trans. on Power Electronics, vol. 17, no. 2, pp. 216-224, 2002.
17. J. Vlach, J. M. Wojciechowski, and A. Opal, "Analysis of nonlinear networks with inconsistent initial conditions," IEEE Trans. on Circuits and Systems I-Fund. Theory and App., vol. 42, no. 4, pp. 195-200, 1995.
18. F. Del Aguila Lopez, P. Schonwilder, J. Dalmau, and R. Mas, "A discrete-time technique for the steady state analysis of nonlinear switched circuits with inconsistent initial conditions," in IEEE Int. Symp. on Circuits and Systems, vol. 3, 2001, pp. 357-360.
19. M. Camlibel, L. Iannelli, and F. Vasca, "Passivity and complementarity," GRACE - Internal Report available at www.grace.ing.unisannio.it, no. 352, 2006.
20. B. D. Anderson and S. Vongpanitlerd, Network Analysis And Synthesis: A Modern Systems Theory Approach, R. Newcomb, Ed. Englewood Cliffs, New Jersey: Prentice-Hall, 1973.
21. R. Frasca, M. K. Camlibel, I. Goknar, L. Iannelli, and F. Vasca, "State jump rules in linear passive networks with ideal switches," GRACE - Internal Report available at www.grace.ing.unisannio.it, no. 460, 2007.
22. S. Boyd and L. Vandenberghe, Convex Optimization, R. Newcomb, Ed. New York: Cambridge University Press, 2004.
23. H. Lütkepohl, Handbook of Matrices. John Wiley & Sons Ltd, 1996.