Learning, control and hybrid systems pp 269-280 | Cite as

# Model reduction for classes of uncertain, multi-dimensional, parameter varying and non-linear systems

Part C Modeling, Identification And Estimation

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## Abstract

This paper surveys recently proposed approaches for the model reduction of certain classes of uncertain, multi-dimensional, parameter varying and non-linear systems. It is shown that each of these systems may be written using a similar formulation. Balanced truncation model reduction, based on the solution of two Linear Matrix Inequalities (LMI’s) are discussed for each class of system and the similarities (and differences) highlighted.

## Keywords

Linear Matrix Inequality Model Reduction Reduce Order Model Linear Time Invariant System Linear Time Invariant
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