We present a computational framework for stability analysis of systems of coupled linear Partial-Differential Equations (PDEs). The class of PDE systems considered in this paper includes parabolic, elliptic and hyperbolic systems with Dirichlet, Neuman and mixed boundary conditions. The results in this paper apply to systems with a single spatial variable. We exploit a new concept of state for PDE systems which allows us to include the boundary conditions directly in the dynamics of the PDE. The resulting algorithms are implemented in Matlab, tested on several motivating and illustrative examples, and the codes have been posted online. Numerical testing indicates the approach has little or no conservatism for a large class of systems and can analyze systems of up to 20 coupled PDEs.
|Number of pages
|Published - Jun 1 2019
|3rd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2019 - Oaxaca, Mexico
Duration: May 20 2019 → May 24 2019
- Distributed Parameter Systems
ASJC Scopus subject areas
- Control and Systems Engineering