Implicitly Restarted Krylov Subspace Methods for Stable Partial Realizations
SIAM Journal on Matrix Analysis and Applications
L2-Gain and Passivity Techniques in Nonlinear Control
L2-Gain and Passivity Techniques in Nonlinear Control
Model Reduction of MIMO Systems via Tangential Interpolation
SIAM Journal on Matrix Analysis and Applications
Important Moments in Systems and Control
SIAM Journal on Control and Optimization
Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Efficient linear circuit analysis by Pade approximation via the Lanczos process
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
Automatica (Journal of IFAC)
Hi-index | 22.14 |
In this paper we propose a solution to the problem of moment matching with preservation of the port Hamiltonian structure, in the framework of time-domain moment matching. We characterize several families of parameterized port Hamiltonian models that match the moments of a given port Hamiltonian system, at a set of finite interpolation points. We also discuss the problem of Markov parameters matching for linear systems as a moment matching problem for descriptor representations associated with the given system, at zero interpolation points. Solving this problem yields families of parameterized reduced order models that achieve Markov parameter matching. Finally, we apply these results to the port Hamiltonian case, resulting in families of parameterized reduced order port Hamiltonian approximations.