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Graph theoretic methods in the study of structural issues in control
Madhu N. Belur,Debraj Chakraborty 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
This paper addresses questions regarding controllability and observability for ‘generic parameter’ dynamical systems. We use graph theoretic methods and hence the sequestions are answered in a ‘structural sense’. We formulate necessary and sufficient conditions for controllability in terms of suitable maximum matchings in the bipartite graph constructed fro the constraints and variables. The conditions for observability turn out to be similar. We relate the setests to Gilbert ’scontrollability and observability tests.