Normal Form and Stability of a Class of Coupled Nonlinear Networks
- 1 December 1966
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 13 (4) , 413-418
- https://doi.org/10.1109/tct.1966.1082622
Abstract
This paper is concerned with the qualitative properties of a subclass of the class of nonlinear R, L, C networks for which there may be mutual coupling among elements of like type. Sufficient conditions are given which guarantee that such a network may be characterized by a set of nonlinear equations in normal form, which indicates a unique response for any excitation. Finally, a study of the stability of networks of this class indicates that for passive networks their asymptotic stability is in one-to-one correspondence with their "weak observability" at the resistor terminals.Keywords
This publication has 4 references indexed in Scilit:
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