An nD-systems approach to global polynomial optimization with an application to H>inf<2>/inf<model order reduction

I. Bleylevens, R. Peeters, B. Hanzon
Proceedings of the 44th IEEE Conference on Decision and Control  
The problem of finding the global minimum of a multivariate polynomial can be approached by the matrix method of Stetter-Möller, which reformulates it as a large eigenvalue problem. The linear operators involved in this approach are studied using the theory of nD-systems. This supports the efficient application of iterative methods for solving eigenvalue problems such as Arnoldi methods and Jacobi-Davidson methods. This approach is demonstrated by an example which addresses optimal H2-model
more » ... ction of a linear dynamical model of order 10 to order 9. Index Terms-global polynomial optimization, Stetter-Möller matrix method, linear operator, nD-system, large eigenvalue problem, H2 model reduction.
doi:10.1109/cdc.2005.1582972 fatcat:ojbiijizzrchxbadqsg2yjqjam