Abstract
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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
