On Stability and Robust Stability of Linear Parameter-Varying Difference Systems with Nonnegative Matrix Coefficients
https://doi.org/10.1007/s10013-013-0015-5Publisher, magazine: ,
Publication year: 2014
Lưu Trích dẫn Chia sẻAbstract
In this paper, we give a simple necessary and sufficient condition for asymptotic stability of linear parameter-varying difference systems with nonnegative matrix coefficients. Then, the complex, real, and positive stability radii of the difference systems are studied. The results also include recent results on positive homogeneous difference equations and positive delay discrete systems as special cases. Finally, a simple example is given to illustrate the obtained results.
Tags: Parameter-varying system; Asymptotic stability; Stability radius; Homogeneous difference equation; Nonnegative matrix
Các bài viết liên quan đến tác giả Bùi Thế Anh
Robust stability of Metzler operator and delay equation in $L\sp p([-h,0];X)$
Stability radii of positive higher order difference system in infinite dimensional spaces
Stability radii of positive linear systems under fractional perturbations
Robust stability of Metzler operators under parameter perturbations
Stability radii of positive linear time-delay systems under fractional perturbations
A Perron-Frobenius theorem for positive polynomial operators in Banach lattices