Hamiltonian extensions, Hilbert adjoints and singular value functions for nonlinear systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 5, Issue , 2000, Pages 5102-5107

  Scherpen, J M A ^a   Fujimoto, K ^a   Gray, W S ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROLLABILITY; HAMILTONIANS; LINEAR CONTROL SYSTEMS; MATHEMATICAL OPERATORS; OBSERVABILITY; STATE SPACE METHODS; TRANSFER FUNCTIONS;

HAMILTONIAN EXTENSIONS; HANKEL OPERATOR; HILBERT ADJOINTS; NONLINEAR BALANCED REALIZATION; OPERATOR THEORY; SINGULAR VALUE FUNCTIONS;

NONLINEAR CONTROL SYSTEMS;

EID: 0034442064     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. Nonlinear compact mappings and their adjoints
2. An algebraic approach to nonlinear functional expansions
3. Nonlinear balancing based on differential eigenstructure of Hankel operators
4. Hamiltonian realizations of nonlinear adjoint operators
5. Hankel operators and Gramians for nonlinear systems
6. Hankel operators, singular value functions and Gramian generalizations for nonlinear systems
7. Balancing for nonlinear systems
8. On singular value functions and Hankel operators for nonlinear systems