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An explanation of linear discrete time system behavior by singular value decomposition of the system matrix

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2 Author(s)
R. Zachery ; Navigation & Control Branch, US Air Force Armament Directorate, Eglin AFB, FL, USA ; Shih-Ko Wang

This study formulates the single-input-single-output (SISO) output controllability problem based on singular value decomposition (SVD) of the system matrix. With the approach, the authors show if any input trajectory is along a right singular vector, the output trajectory will be along the corresponding left singular vector and will mirror the input. In addition, the authors derive a relationship between zero locations and system matrix minimum singular values σmin and pole locations and system matrix maximum singular values, σmax in the linear discrete time problem

Published in:

System Theory, 1996., Proceedings of the Twenty-Eighth Southeastern Symposium on

Date of Conference:

31 Mar-2 Apr 1996