Title :
Nonlinear Hilbert adjoints of Fliess operators
Author_Institution :
Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA
Abstract :
The article presents a causal analytic nonlinear input-output system represented as a Chen-Fliess functional series. It goes on to investigate how to apply an existing notion of a nonlinear Hilbert adjoint operator to explicitly compute a corresponding adjoint operator. The method is demonstrated for the bilinear case
Keywords :
Hilbert spaces; bilinear systems; nonlinear control systems; series (mathematics); Chen-Fliess functional series; Fliess operators; bilinear case; causal analytic nonlinear input-output system; causal input-output map; nonlinear Hilbert adjoint operator; Convergence; Hilbert space; Reduced order systems; Signal mapping; State-space methods; Vectors;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980663
