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Some input-output properties of nonlinear multivariable feedback systems

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1 Author(s)
McClamroch, N.H. ; University of Michigan, Ann Arbor, MI, USA

This short paper presents a number of results which characterize the input-output response of a class of nonlinear multivariable systems. A rather general class of nonlinear multivariable systems is considered and a variety of input functions is allowed. Particular conditions are developed which guarantee that the error between the input function and the output response 1) is bounded, 2) tends to a constant value, and 3) tends to zero. The results are of special interest since they can be interpreted as defining a limited form of "superposition principle" for the nonlinear systems considered.

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Automatic Control, IEEE Transactions on  (Volume:21 ,  Issue: 4 )