Abstract
In this chapter we introduce the reader to various methods for the input-output analysis of nonlinear systems. The methods are divided into three categories:
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1.
Optimal Linear Approximants for Nonlinear Systems. This is a formalization of a technique called the describing function technique, which is popular for a quick analysis of the possibility of oscillation in a feedback loop with some nonlinearities in the loop.
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2.
Input-output Stability. This is an extrinsic view to the stability of nonlinear systems answering the question of when a bounded input produces a bounded output. This is to be compared with the intrinsic or state space or Lyapunov approach to stability in the next two chapters.
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3.
Volterra Expansions for Nonlinear Systems. This is an attempt to derive a rigorous “frequency domain” representation of the input output behavior of certain classes of nonlinear systems.
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© 1999 Springer Science+Business Media New York
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Sastry, S. (1999). Input-Output Analysis. In: Nonlinear Systems. Interdisciplinary Applied Mathematics, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3108-8_4
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DOI: https://doi.org/10.1007/978-1-4757-3108-8_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3132-0
Online ISBN: 978-1-4757-3108-8
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