Linearization of nonlinear systems about constant operating points

For bilinear-realizable nonlinear systems described by a Volterra series, an input-output definition of the linearized system about a constant operating point is given. This definition is then compared to the usual notion of linearization in terms of a bilinear realization of the nonlinear system. P...

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Bibliographic Details
Published in:	IEEE transactions on automatic control Vol. 30; no. 8; pp. 804 - 808
Main Authors:	Lejeune, R., Rugh, W.
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01-08-1985 Institute of Electrical and Electronics Engineers
Subjects:	Applied sciences Asymptotic stability Computer science; control theory; systems Control theory. Systems Differential equations Exact sciences and technology Large-scale systems Linear systems Lyapunov method Nonlinear dynamical systems Nonlinear systems Power system stability Regulators System theory Transfer functions Non linear system Volterra series Linearization
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Summary:	For bilinear-realizable nonlinear systems described by a Volterra series, an input-output definition of the linearized system about a constant operating point is given. This definition is then compared to the usual notion of linearization in terms of a bilinear realization of the nonlinear system. Properties of the linearized system with respect to the original nonlinear system are developed, and implications for analysis and design of nonlinear systems are discussed.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0018-9286 1558-2523
DOI:	10.1109/TAC.1985.1104039