An iterative scheme for finite horizon model reduction of continuous-time linear time-varying systems

no code implementations • 2 Sep 2023 • Kasturi Das, Srinivasan Krishnaswamy, Somanath Majhi

Based on the functional derivatives, first-order necessary conditions for optimality of the error norm are derived, and a projection-based iterative scheme for model reduction is proposed.

H$_2$ Optimal Model Order Reduction over a Finite Time Interval

no code implementations • 3 Jan 2022 • Kasturi Das, Srinivasan Krishnaswamy, Somanath Majhi

For a time-limited version of the H$_2$ norm defined over a fixed time interval, we obtain a closed form expression of the gradients.

Near Optimal Interpolation based Time-Limited Model Order Reduction

no code implementations • 8 Oct 2021 • Kasturi Das, Srinivasan Krishnaswamy, Somanath Majhi

The LT-IRKA yields a near optimal $H_2(\tau)$ reduced order system.