Global Controllability for Quasilinear Nonnegative Definite System of ODEs and SDEs

Jasmina Djordjevic (), Sanja Konjik (), Darko Mitrović () and Andrej Novak ()
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Jasmina Djordjevic: University of Nis
Sanja Konjik: University of Novi Sad
Darko Mitrović: University of Vienna
Andrej Novak: University of Zagreb

Journal of Optimization Theory and Applications, 2021, vol. 190, issue 1, No 14, 316-338

Abstract: Abstract We consider exact and averaged control problem for a system of quasilinear ODEs and SDEs with a nonnegative definite symmetric matrix of the system. The strategy of the proof is the standard linearization of the system by fixing the function appearing in the nonlinear part of the system and then applying the Leray–Schauder fixed point theorem. We shall also need the continuous induction arguments to prolong the control to the final state which is a novel approach in the field. This enables us to obtain controllability for arbitrarily large initial data (so-called global controllability).

Keywords: Exact controllability; Averaged controllability; Quasilinear ODEs; Quasilinear SDEs; Degenerate parabolic equation; Primary: 34H05; Secondary: 49J15; 93C15; 60H10 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-021-01886-z

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