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Stability of nonlinear time-varying feedback systems

✍ Scribed by Yo-Sung Cho; Kumpati S. Narendra

Publisher: Elsevier Science
Year: 1968
Tongue: English
Weight: 526 KB
Volume: 4
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(68)90004-6

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✦ Synopsis

In this paper, the stability of nonlinear time-varying feedback systems is studied using a "passive operator" technique. The feedback system is assumed to consist of a linear time-invariant operator G(s) in the forward path and a nonlinear time-varying gain function f( • )K(t) in the feedback path. The stability condition indicates that the bound on the time derivative [dK(t)/(dt)] depends both on the nonlinearity f( • ) and the multiplier Z(s) chosen to make G(s)Z(s) positive real. It is also shown that the main result in this paper can be specialized to yield many of the results obtained so far for nonlinear time-invariant systems and linear time-varying systems.

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