2002/11/01 by Long Wang, Wang, Long
Engineering · Mathematics · #93D45 #Adaptive Control of Nonlinear Systems #Control Systems and Identification #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #math.DS #math.OC #msc:93D45
paper · pdf · doi:10.48550/arxiv.math/0211011
arxiv created 2002/11/01 · openalex publication_date 2002/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The focal point of this paper is to provide some simple and efficient criteria to judge the \cal D-stability of two families of polynomials, i.e., an interval multilinear polynomial matrix family and a polytopic polynomial family. Taking advantage of the uncertain parameter information, we analyze these two classes of uncertain models and give some LMI conditions for the robust stability of the two families. Two examples illustrate the effectiveness of our results.