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A. Mironchenko. Semilinear boundary control systems: Well-posedness and stability.
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Speaker:
Andrii Mironchenko (University of Passau)
Title:
Semilinear boundary control systems: Well-posedness and stability
Slides:
Abstract:
We consider a class of semilinear evolution equations in Banach spaces with unbounded input operators.
We provide sufficient conditions for the existence and uniqueness of mild solutions for this class of systems. Next, we study further properties, such as boundedness of reachability sets, continuous dependence on initial states and inputs, and Lipschitz regularity of the flow map.
Besides the fact that these properties are interesting per se, they are important for the analysis of the stability and robustness of such systems, including input-to-state stability, which we briefly discuss as well.
Having developed this theory, we show that a class of semilinear boundary control systems can be reformulated in terms of semilinear equations in Banach spaces. Thus, the above results can be used to analysis of boundary control systems as well.
Date:
Monday, 04 July 2022
Andrii Mironchenko (University of Passau)
Title:
Semilinear boundary control systems: Well-posedness and stability
Slides:
Abstract:
We consider a class of semilinear evolution equations in Banach spaces with unbounded input operators.
We provide sufficient conditions for the existence and uniqueness of mild solutions for this class of systems. Next, we study further properties, such as boundedness of reachability sets, continuous dependence on initial states and inputs, and Lipschitz regularity of the flow map.
Besides the fact that these properties are interesting per se, they are important for the analysis of the stability and robustness of such systems, including input-to-state stability, which we briefly discuss as well.
Having developed this theory, we show that a class of semilinear boundary control systems can be reformulated in terms of semilinear equations in Banach spaces. Thus, the above results can be used to analysis of boundary control systems as well.
Date:
Monday, 04 July 2022
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