Affiliation:
1. School of Science, Hunan University of Technology, Zhuzhou 412007, China
Abstract
The partial singular value assignment problem stems from the development of observers for discrete-time descriptor systems and the resolution of ordinary differential equations. Conventional techniques mostly utilize singular value decomposition, which is unfeasible for large-scale systems owing to their relatively high complexity. By calculating the sparse basis of the null space associated with some orthogonal projections, the existence of the matrix in partial singular value assignment is proven and an algorithm is subsequently proposed for implementation, effectively avoiding the full singular value decomposition of the existing methods. Numerical examples exhibit the efficiency of the presented method.
Funder
NSF of Hunan Province
NSF of China
Hunan University of Technology and Hunan Province
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
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