Reachability-based approach for ℒ2 gain approximation of polynomial systems
Hardy B. Siahaan, Ole Morten Aamo, Bjarne A. Foss · 2007
This paper considers a computational mechanism to approximate a class of polynomial systems with a reduced order model. The approach is based on estimate of the reachability set and a finite gain ℒ2stability condition. The approach benefits from the use of sum of squares programming where the computation is rendered tractable.