Stable kernel representations and the Youla parameterization for nonlinear systems

In this paper a general approach is taken to yield a characterization of the class of stable plant controller pairs, which is a generalization of the Youla parameterization for linear systems. This is based on the idea of representing the input-output pairs of the plant and controller as elements of the kernel of a related operator, denoted the kernel representation of the system. Results giving one method of deriving a kernel representation for a nonlinear plant with a general state space description are presented.<>