Compactness of Fixed Point Maps and the Ball-Marsden-Slemrod Conjecture

نویسندگان

چکیده

Given a parameter dependent fixed point equation , we derive an abstract compactness principle for the map under assumptions that (i) can be solved by contraction and (ii) is compact . This result applied to infinite-dimensional, semilinear control systems their reachable sets. More precisely, extend noncontrollability of Ball, Marsden, Slemrod [SIAM J. Control Optim., 20 (1982), pp. 575–597] systems. First consider -controls, Subsequently analyze case

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ژورنال

عنوان ژورنال: Siam Journal on Control and Optimization

سال: 2023

ISSN: ['0363-0129', '1095-7138']

DOI: https://doi.org/10.1137/21m1461848