Order Reduction of Multi-scale Differential Inclusions

Grammel, G.

doi:10.1007/978-3-540-31852-1_35

Cited by 2 publications

(1 citation statement)

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“…For differential inclusions the problem of model reduction is almost completely unexplored, with few possible exceptions. For instance in [30] differential inclusions are approximated with higher-order differential equations, whereas in [31] a multi-scale approach is used to reduce the complexity of the models. One of the reasons behind this scarcity of results for the problem of model reduction of differential inclusions is probably the additional difficulty which arises when dealing with multi-valued functions.…”

Section: Introductionmentioning

confidence: 99%

Model reduction for linear differential inclusions: moment-set and time-variance

Scarciotti

Teel

Astolfi

2017

2017 American Control Conference (ACC)

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This paper deals with the problem of model reduction by moment matching for linear differential inclusions. The problem is formally formulated and the notions of momentset, perturbed moment trajectory, approximate reduced order model and robust reduced order model are introduced. Two sets of results are presented. The first part of the paper deals with robustness of the reduced order models with respect to input perturbations. Exploiting this result an enhanced model reduction scheme for linear differential equations is presented. In the second part of the paper we focus on the problem of model reduction by moment matching for time-varying systems driven by time-varying signal generators. Finally, these two sets of results are used to solve the problem of model reduction for linear differential inclusions. The results are illustrated by means of numerical examples.

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Section: Introductionmentioning

confidence: 99%