LMI and SDP technique for stability analysis of nonlinear delay systems subject to constraints

• Published in: Optimization letters Vol. 13; no. 8; pp. 1937 - 1952
• Main Authors: Sedova, N., Pertseva, I.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2019
• Subjects: Computational Intelligence; Mathematics; Mathematics and Statistics; Numerical and Computational Physics; Operations Research/Decision Theory; Optimization; Original Paper; Simulation; System with constraints; Stability; Nonlinear delay system; Razumikhin technique; LMI; SDP; Takagi–Sugeno system

The aim of the study is to present an estimation of the domain of attraction (DA) for nonlinear delay systems. The proposed approach is based on the assumption that on a subset of instant states the system is represented by a continuous-time Takagi–Sugeno (TS) system with delay. Because of the const...