Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
M3 4206
Matthijs de Jong | Applied Math, University of Waterloo
Controllability and observability of nonlinear system
The controllability and observability of linear dynamical systems can be easily checked using the well-known Kalman rank conditions. However, many physical systems contain nonlinear behaviour. A common approach is to linearize the nonlinear dynamics and investigate the local properties of the system. Often are the controllability and observability properties the result of the nonlinear behaviour in nonlinear systems, which may be lost in the linearized dynamics. This requires other mathematical tools to analyse the controllability and observability of nonlinear systems.
In this talk, we attempt on generalizing the Kalman rank conditions for nonlinear systems. The systems that are considered have nonlinear internal dynamics, described by a vector field that depends on the states of the system.
Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
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