caa a22 4500 477091474 CHVBK 20180405111516.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF01194219 doi (NATIONALLICENCE)springer-10.1007/BF01194219 On a class of nonconvex and nonlinear optimal control problems [Elektronische Daten] [Giovanni Colombo, Vladimir Goncharov, Ermanno Ramazzina] We propose two relaxation approaches for the existence of solutions of a nonconvex optimal control problem with a nonlinear dynamics and two fixed endpoints. The first approach adds to the functional a term depending on the final state; the second one introduces a new scalar control into both the functional and the dynamics. Our results generalize those obtained in the linear case. We assume that the integrand be concave w.r.t. the state variable, and provide an example showing that a strict concavity condition, in the nonlinear case, is essential. Finally, a result without relaxation is presented. Birkhäuser Verlag, 1996 Colombo Giovanni Dipartimento di Matematica Pura e Applicata, Università di Padova, via Belzoni, 7, 35131, Padova, Italy aut Goncharov Vladimir Irkutsk Computer Center, ul. Lermontov, 134, 664033, Irkutsk, Russia aut Ramazzina Ermanno via Mameli, 4, 30014, Cavarzere (Ve), Italy aut Nonlinear Differential Equations and Applications NoDEA Birkhäuser-Verlag 3/1(1996-03-01), 115-126 1021-9722 3:1<115 1996 3 30 https://doi.org/10.1007/BF01194219 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01194219 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Colombo Giovanni Dipartimento di Matematica Pura e Applicata, Università di Padova, via Belzoni, 7, 35131, Padova, Italy aut NATIONALLICENCE 700 1- Goncharov Vladimir Irkutsk Computer Center, ul. Lermontov, 134, 664033, Irkutsk, Russia aut NATIONALLICENCE 700 1- Ramazzina Ermanno via Mameli, 4, 30014, Cavarzere (Ve), Italy aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Birkhäuser-Verlag 3/1(1996-03-01), 115-126 1021-9722 3:1<115 1996 3 30 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer