Abstract
This paper provides parameterizations of all positively stabilizing feedbacks for a particular class of finite-dimensional single-input positive systems, a method to yield these parameterizations by means of tools of linear programming and a convergence analysis which allows to extend the results to a particular infinite-dimensional system described by a parabolic partial differential equation. It also provides an academic standard example – the pure diffusion equation – to support the theoretical results.
| Original language | English |
|---|---|
| Pages (from-to) | 57-64 |
| Number of pages | 8 |
| Journal | Systems and Control Letters |
| Volume | 98 |
| DOIs | |
| Publication status | Published - 1 Dec 2016 |
Keywords
- Convergence analysis
- Diffusion equation
- Feedback parameterization
- Finite differences
- Partial differential equations
- Positive stabilization
- Positive systems