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Balanced Truncation of Linear Systems with Quadratic Outputs in Limited Time and Frequency Intervals
To that end, limited interval system Gramians are defined, and the corresponding generalized Lyapunov equations governing their computation are derived.
Frequency-limited H$_2$ Model Order Reduction Based on Relative Error
Relative error, which represents the percentage error, becomes particularly relevant when reducing a plant model for the purpose of designing a reduced-order controller.
H2 Model Order Reduction: A Relative Error Setting
In dynamical system theory, the process of obtaining a reduced-order approximation of the high-order model is called model order reduction.
Relative Error-based Time-limited H2 Model Order Reduction via Oblique Projection
Inspired by these conditions, an oblique projection algorithm is proposed that ensures small H2-norm relative error within the desired time interval.
On frequency- and time-limited H2-optimal model order reduction
Moreover, stationary point iteration algorithms that satisfy two out of three necessary conditions for the local minimizer are also proposed.
Frequency-weighted H2-optimal model order reduction via oblique projection
In this paper, a projection-based model order reduction algorithm is proposed that constructs reduced-order models that nearly satisfy the first-order optimality conditions for the frequency-weighted H2-optimal model order reduction problem.
Adaptive Frequency-limited H2-Model Order Reduction
In this paper, we present an adaptive framework for constructing a pseudo-optimal reduced model for the frequency-limited H2-optimal model order reduction problem.
