Cha, Sung-HanDehghani, ArvinAnderson, Brian2015-12-10June 24-269781424446858http://hdl.handle.net/1885/53192We propose a connection between the state-space realization and 'observer-like' property of a nonlinear feedback system, consisting of an linear time-invariant (LTI) plant and a nonlinear controller by utilizing 'kernel representation' of dynamical systems. This connection is advanced by noticing that the kernel representation shares many properties with and is indeed a generalization of left fractional representations for nonlinear systems.Keywords: Fractional representations; Kernel representation; Linear time-invariant; Non-linear controllers; Nonlinear feedback systems; State space realization; Dynamical systems; Nonlinear systems; State feedback; Controllers200910.1109/MED.2009.51645302016-02-24