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

被引:40
作者
van der Schaft, Arian [1 ]
机构
[1] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, NL-9700 AK Groningen, Netherlands
关键词
Open graphs; Boundary vertices; Kirchhoff's laws; Laplacian matrix; Schur complements; Partial synthesis by interconnection; SYSTEMS; DIRAC;
D O I
10.1016/j.sysconle.2010.05.005
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The external behavior of linear resistive circuits with terminals is characterized as a linear input-output map given by a weighted Laplacian matrix. Conditions are derived for shaping the external behavior of the circuit by interconnection with an additional resistive circuit. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:423 / 428
页数:6
相关论文
共 14 条
[1]  
[Anonymous], GRADUATE TEXTS MATH
[2]  
[Anonymous], 1998, GRAD TEXT M
[3]  
Bamberg P., 1999, COURSE MATH STUDENTS
[4]   Interconnection of port-Hamiltonian systems and composition of Dirac structures [J].
Cervera, J. ;
van der Schaft, A. J. ;
Banos, A. .
AUTOMATICA, 2007, 43 (02) :212-225
[5]  
KIRCHHOFF G., 1847, Ann. Phys. Chem., V148, P497, DOI 10.1002/andp.18471481202
[6]   Some applications of an Implicit Duality Theorem to connections of structures of special types including Dirac and reciprocal structures [J].
Narayanan, H .
SYSTEMS & CONTROL LETTERS, 2002, 45 (02) :87-95
[7]   Efficient Methods for Large Resistor Networks [J].
Rommes, Joost ;
Schilders, Wil H. A. .
IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 2010, 29 (01) :28-39
[8]   Achievable behavior of general systems [J].
van der Schaft, AJ .
SYSTEMS & CONTROL LETTERS, 2003, 49 (02) :141-149
[9]   Conservation Laws and Lumped System Dynamics [J].
van der Schaft, Arjan ;
Maschke, Bernhard .
MODEL-BASED CONTROL: BRIDGING RIGOROUS THEORY AND ADVANCED TECHNOLOGY, 2009, :31-+
[10]   The Behavioral Approach to open and interconnected systems [J].
Willems, Jan C. .
IEEE CONTROL SYSTEMS MAGAZINE, 2007, 27 (06) :46-99