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On the existence of solutions to linear active networks: A state‐space approach
Author(s) -
Chandrashekar M.,
Kesavan H. K.
Publication year - 1974
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490020403
Subject(s) - space (punctuation) , state space , fortran , order (exchange) , computer science , state (computer science) , active networking , mathematics , upper and lower bounds , mathematical optimization , theoretical computer science , algorithm , mathematical analysis , programming language , telecommunications , statistics , finance , economics , operating system
In recent literature, several alternative conditions for the existence of solutions to active networks are given. In this paper, yet another condition is given which is both necessary and sufficient for the existence of a unique solution to the network. Based on this new condition a precise upper bound for the order of complexity of an active network is established which differs from published results. A Fortran coded program is also available.