2001•Fuzhou daxue xuebao. Ziran kexue banRequires access
Research of stability condition for time-invariant nonlinear system
Chen Hong
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Abstract
We present here a stability condition and its verification method for the time\|invariant nonlinear system. This stability condition is based on the small gain theorem in regard to L\-2 gain, and its verification method is described by the Nyquist criterion and the modified M\|circle set(alike to Popov's criterion). In order to verify the above system stability, we assume the system nonlinear part as a non\|linear subsystem with a free parameter q≥0, and focus on the change of some peak value of the relative position between the vector locus of the open loop frequency response characteristic and the modified M\|circle set, which may be available for stability analysis and robust design of the control system.