Title :
Hamiltonian extensions, Hilbert adjoints and singular value functions for nonlinear systems
Author :
Scherpen, Jacquelien M A ; Fujimoto, Kenji ; Gray, W. Steven
Author_Institution :
Dept. of Electr. Eng., Delft Univ. of Technol., Netherlands
Abstract :
Studies previously developed nonlinear Hilbert adjoint operator theory from a variational point of view and provides a formal justification for the use of Hamiltonian extensions via Gateaux differentials. The primary motivation is its use in characterizing singular values of nonlinear operators, and in particular, the Hankel operator and its relationship to the state space notion of nonlinear balanced realizations
Keywords :
differential equations; nonlinear control systems; state-space methods; transfer functions; variational techniques; Gateaux differentials; Hamiltonian extensions; Hankel operator; Hilbert adjoints; nonlinear balanced realizations; nonlinear operators; singular value functions; Controllability; Hilbert space; Informatics; Linear systems; Mathematics; Nonlinear control systems; Nonlinear systems; Observability; State-space methods; Transfer functions;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2001.914759
