On the nonuniqueness of singular value functions and balanced nonlinear realizations

Systems and Control Letters

Volumn 44, Issue 3, 2001, Pages 219-232

  Gray, W Steven ^a   Scherpen, Jacquelien M A ^b  

^a Old Dominion University   (United States)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Balanced realizations; Model reduction; Nonlinear systems; Singular value functions; State dependent matrices

Indexed keywords

CONTROLLABILITY; DESCRIBING FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; STATE SPACE METHODS;

SINGULAR VALUE FUNCTIONS;

NONLINEAR CONTROL SYSTEMS;

EID: 0035940637     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(01)00144-X     Document Type: Article

References (10)

1. Computation for nonlinear balancing
2. Balancing for nonlinear systems
3. Minimality and local state decompositions of a nonlinear state space realization using energy functions