Singular Value Analysis Of Nonlinear Symmetric SystemsIonescu, T. C., Fujimoto, K. & Scherpen, J. M. A., Sep-2011, In : IEEE Transactions on Automatic Control. 56, 9, p. 2073-2086 14 p.
Research output: Contribution to journal › Article › Academic › peer-review
In this paper, we introduce the notions of state-space symmetry for nonlinear systems and of the cross operator as a non-trivial natural extension of the linear symmetric case, in terms of the controllability and observability operators associated to it. We give a characterization of a symmetric nonlinear system in terms of the cross operator and a coordinate transformation. Then we analyze the use of the cross operator for solving the Hankel singular value problem of the system. The result is a new and simpler characterization of the solutions of this problem in terms of the cross operator and a metric.
|Number of pages||14|
|Journal||IEEE Transactions on Automatic Control|
|Publication status||Published - Sep-2011|
- Balancing, cross operator, Hankel, nonlinear systems, singular value, symmetry, DYNAMICAL-SYSTEMS, MODEL IDENTIFICATION, HAMILTONIAN-SYSTEMS, REDUCTION, REPRESENTATIONS