An LMI Approach to Stability Analysis of Coupled Parabolic Systems
Provides a stability analysis framework for distributed parameter systems, but the approach is incremental (LMI-based) and domain-specific.
The paper analyzes exponential stability of coupled parabolic PDEs with spatially varying coefficients, deriving sufficient LMI-based conditions that account for approximation errors from domain splitting.
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.