An LMI Approach to Stability Analysis of Coupled Parabolic Systems
Optimization and Control
2019-05-21 v5 Systems and Control
Abstract
We analyze the exponential stability of distributed parameter systems. The system we consider is described by a coupled parabolic partial differential equation with spatially varying coefficients. We approximate the coefficients by splitting space domains but take into account approximation errors during stability analysis. Using a quadratic Lyapunov function, we obtain sufficient conditions for exponential stability in terms of linear matrix inequalities.
Keywords
Cite
@article{arxiv.1802.00609,
title = {An LMI Approach to Stability Analysis of Coupled Parabolic Systems},
author = {Masashi Wakaiki},
journal= {arXiv preprint arXiv:1802.00609},
year = {2019}
}
Comments
10 pages. The Matlab codes for numerical examples are available at Code Ocean