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Realizations of Nonlinear Systems

L. Hunt
D. Linebarger
R. DeGroat
Journal / Anthology

Circuits Systems and Signal Processing
Year: 1989
Volume: 8
Issue: 4
Page range: 487-506

Given the Volterra series representation of a single input, single output nonlinear system, we examine conditions on the Volterra kernels that determine if the system is in some sense equivalent to a linear system. The systems considered herein are known as "feedback linearizable" systems. Feedback linearizable systems are usually discussed in terms of their state-space representations. A key result related the Volterra series description of a feedback linearizable system to its state-space description.

*Mathematics > Calculus and Analysis > Differential Equations