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Input-to-State Stability for bilinear systems

Ven, Maaike van de (2020) Input-to-State Stability for bilinear systems.

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Abstract:This thesis studies Input-to-State Stability (ISS) for bilinear systems. The purpose of this thesis is to compare different notions of ISS, for example ISS itself, integral ISS and small-gain ISS for linear and bilinear systems. This is started with discussing the different notions of ISS with regard to finite dimensional linear and bilinear systems. After that, infinite dimensional systems are considered. For the infinite dimensional systems it makes a big difference regarding stability whether all operators involved in the system are bounded or not. Therefore, two situations for the input operators are discussed. The main result of this thesis is a condition under which the infinite dimensional bilinear systems with an unbounded input operator are integral Input-to-State Stable. The thesis is concluded with examples of infinite dimensional systems based on partial differential equations.
Item Type:Essay (Master)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics
Programme:Applied Mathematics MSc (60348)
Link to this item:http://purl.utwente.nl/essays/83420
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