Improved Stability and Controller Design Criteria for Two-dimensional Differential-Algebraic-Equation Systems via LMI Approach
Systems and Control
2023-12-05 v1 Systems and Control
Optimization and Control
Abstract
This paper addresses issues concerning asymptotic stability testing and controller design for the two-dimensional Rosser model in Differential-Algebraic-Equations systems (DAEs). We present sufficient stability criteria based on the Lyapunov approach, utilizing a set of Linear-Matrix-Inequalities (LMIs) tailored for two-dimensional DAEs. Furthermore, we establish a set of sufficient conditions for determining the feasibility of both state- and output-feedback controllers. Our methods eliminate the need for decomposing the two-dimensional DAEs into separate algebraic and differential components.
Keywords
Cite
@article{arxiv.2312.00890,
title = {Improved Stability and Controller Design Criteria for Two-dimensional Differential-Algebraic-Equation Systems via LMI Approach},
author = {Abdolah RoshanaeeDeh and Hajar Atrianfar and Masoud Shafiee},
journal= {arXiv preprint arXiv:2312.00890},
year = {2023}
}
Comments
6 pages, 4 figures