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Empirical Model Reduction of Controlled Nonlinear Systems
Controlled Nonlinear Systems Model Reduction
2015/6/19
In this paper we introduce a new method of model reduction for nonlinear systems with inputs and outputs. The method requires only standard matrix computations, and when applied to linear systems resu...
Abstract: We introduce an interpolation framework for $\mathcal{H}_{\infty}$ model reduction founded on ideas from optimal-$\mathcal{H}_2$ interpolatory model reduction, realization theory, and comple...
Residual Minimizing Model Reduction for Parameterized Nonlinear Dynamical Systems
nonlinear dynamical systems nonlinear equations parameterized models
2011/1/17
We present a method for approximating the solution of a parameterized, nonlinear dynamical (or static) system using an affine combination of solutions computed at other points in the input parameter s...
Separation of time-scales and model reduction for stochastic reaction networks
Separation time-scales stochastic reaction networks
2010/11/12
A stochastic model for a chemical reaction network is embedded in a one-parameter family of models with species numbers and rate constants scaled by powers of the parameter. A systematic approach is ...
Furthermore, we show that error output of single input single output system can be estimated over a certain class of input functions.