Title :
Discrete Time Stability Margins from Stein´s Equation
Author :
Bengi Yildiz;Vakif Dzhafarov;Shankar P. Bhattacharyya
Author_Institution :
Dept. of Math., Bilecik Seyh Edebali Univ., Bilecik, Turkey
Abstract :
This paper deals with the robust stability of a discrete time stable state space system subject to structured real parameter uncertainty. Using Lyapunov´s Theorem and Stein´s equation the radius of a stability hypersphere in parameter space is derived from the structure matrices, with the property that all for parameter perturbations lying within the hypersphere stability of the system matrix is preserved. A numerical example is provided.
Keywords :
"Asymptotic stability","Numerical stability","Eigenvalues and eigenfunctions","Control systems","Robustness","Symmetric matrices"
Conference_Titel :
Mathematics and Computers in Sciences and in Industry (MCSI), 2015 Second International Conference on
DOI :
10.1109/MCSI.2015.29