Solvability of the Regulator Equation: $L^2$-Space Approach
نویسنده
چکیده
An alternative proof of solvability of the differential equation that is a part of the Regulator Equation which arises from the solution of the Output Regulation Problem is presented. The proof uses the standard Hilbert-space based theory of solutions of elliptic partial differential equations for the case of the linear Output Regulation Problem. In the nonlinear case, a sequence of linear equations is defined so that their solution converges to the solution of the nonlinear problem. This is proved using the Banach Contraction Theorem.
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تاریخ انتشار 2008