Naslov
Global Controllability for Quasilinear Non-negative Definite System of ODEs and SDEs

Autori
Djordjevic, Jasmina ; Konjik, Sanja ; Mitrović, Darko ; Novak, Andrej

Izvornik
Journal of optimization theory and applications (0022-3239) 190 (2021); 316-338

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Exact controllability ; Averaged controllability ; Quasilinear ODEs ; Quasilinear SDEs ; Degenerate parabolic equation

Sažetak
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).

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Računarstvo

POVEZANOST RADA