Characterization and partial synthesis of the behavior of resistive circuits at their terminals

Systems and Control Letters

Volumn 59, Issue 7, 2010, Pages 423-428

  Van Der Schaft, Arjan ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Boundary vertices; Kirchhoff's laws; Laplacian matrix; Open graphs; Partial synthesis by interconnection; Schur complements

Indexed keywords

BOUNDARY VERTICES; EXTERNAL BEHAVIOR; INPUT OUTPUT MAP; KIRCHHOFF'S LAWS; LAPLACIAN MATRICES; LINEAR RESISTIVE CIRCUITS; RESISTIVE CIRCUITS; SCHUR COMPLEMENT;

ELECTRIC RESISTANCE; GRAPH THEORY; LAPLACE TRANSFORMS;

MATRIX ALGEBRA;

EID: 77955427934     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2010.05.005     Document Type: Article

References (14)

1. J.C. Willems, E.I. Verriest, The behavior of resistive circuits, in: Proceedings of the Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, December 2009, pp. 81248129.
2. G. Kirchhoff ber die Auflsung der Gleichungen auf welche man bei der Untersuchung der Linearen Verteilung galvanischer Strme gefhrt wird Annalen der Physik und Chemie 72 1847 497 508
3. B. Bollobas Modern Graph Theory Graduate Texts in Mathematics vol. 184 1998 Springer New York
4. J.C. Willems On interconnections, control, and feedback IEEE Transactions Automatic Control 32 1997 326 339
5. J. Cervera, A.J. van der Schaft, and A. Banos Interconnection of port-Hamiltonian systems and composition of Dirac structures Automatica 43 2007 212 225
6. H. Narayanan Some applications of an implicit duality theorem to connections of structures of special types including Dirac and reciprocal structures Systems & Control Letters 45 2002 87 96
7. J.C. Willems Synthesis of dissipative systems using quadratic differential forms, part I IEEE Transactions Automatic Control 47 2002 53 69
8. A.J. van der Schaft Achievable behavior of general systems Systems & Control Letters 49 2003 141 149
9. J. Rommes, and W.H.A. Schilders Efficient methods for large resistor networks IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 29 1 2010 28 39
10. P. Bamberg, and S. Sternberg A Course in Mathematics for Students of Physics: Vol. 2 1999 Cambridge University Press
11. C. Godsil, and G. Royle Algebraic Graph Theory Graduate Texts in Mathematics vol. 207 2004 Springer New York
12. J.C. Willems The behavioral approach to open and interconnected systems Control Systems Magazine 27 2007 46 99
13. A.J. van der Schaft, and B.M. Maschke Conservation laws and lumped system dynamics P.M.J. Van den Hof, C. Scherer, P.S.C. Heuberger, Model-Based Control: Bridging Rigorous Theory and Advanced Technology 2009 Springer 978-1-4419-0894-0 31 48
14. J.C. Willems, Personal communication.