Affiliation:
1. School of Mathematical Sciences Ocean University of China Qingdao P.R. China
Abstract
AbstractThis paper presents a bicoprime factorization (BCF) approach to deal with various stability problems for linear discrete time‐varying (LTV) systems within the framework of nest algebra. Based on the bicoprime factorization, we give necessary and sufficient conditions for (strongly) simultaneous stabilization of three systems, which generalize similar results for systems by coprime factorization (CF). Finally, when the bicoprime factorization for the plant and controller has additive perturbations, we derive sufficient conditions using the norm inequality for robust stability of the system.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Shandong Province
Subject
Control and Systems Engineering,Electrical and Electronic Engineering,Mathematics (miscellaneous)