A stability criterion for systems with neutrally stable modes and deadzone nonlinearitiesJönsson, Ulf (1997) A stability criterion for systems with neutrally stable modes and deadzone nonlinearities. Technical Report. California Institute of Technology, Pasadena, CA. [CaltechCDSTR:1997.007] Full text available as:
AbstractStability analysis is considered for feedback interconnections of deadzone nonlinearities with linear systems that has a neutrally stable mode. Such systems do not have a unique equilibrium point and the standard techniques from passivity and Lyapunov theory cannot be applied. A stability criterion that generalizes the Popov criterion for this class of systems is derived in this report and several examples will prove its applicability.
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