On Balanced Realization and Finite-dimensional Approximation for Infinite-dimensional Nonlinear Systems

• DOI: 10.9746/ve.sicetr1965.44.243
• Publication Date: 2014-11-17T11:45:22Z
• Authors: Kenji FUJIMOTO; Sayaka ONO
• Keywords: Realization (probability); Multidimensional systems

In this paper, we propose a finite-dimensional approximation for nonlinear infinite-dimensional system via balanced realization.The proposed method is accomplished by realization and singular value analysis systems.This approach expected to derive effective approximate models preserving particular input-output behavior.To obtain systems, sufficient condition necessary one characterizing them are derived.Finally, the effectiveness of shown numerical simulation.