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We consider the problem of asymptotic stabilization of nonlinear systems by output feedback, in the case in which the measured output is corrupted by additive harmonic noise. We restrict our attention to systems which are passive with respect to the measured output, and the sensor disturbance has a finite discrete spectrum. A simple condition for zero-state detectability of passive partially linear...
This paper develops sufficient conditions for a general nonlinear control system σ 1 : x = f(x,u ) to be locally (resp. globally) asymptotically stabilizable via smooth state feedback. In particular, it is shown that as in the case of affine systems, this is possible if the unforced dynamic system of σ 1 is Lyapunov stable and appropriate controllability-like rank conditions are satisfied...
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