caa a22 4500 477118402 CHVBK 20180405111628.0 cr unu---uuuuu 170330e19961001xx s 000 0 eng 10.1007/BF02254700 doi (NATIONALLICENCE)springer-10.1007/BF02254700 Extremal controls for chained systems [Elektronische Daten] [A. Sarychev, H. Nijmeijer] To study a time-optimal control problem with bounded controls and an optimal control problem with a quadratic functional for the so-called 2-chained control system $$\dot x_1 = u_1 , \dot x_2 = u_{2,} \dot x_3 = \dot x_2 u_{1,} ... ,\dot x_n = \dot x_{n - 1} u_{1,} $$ we start with the first-order optimality condition, the Pontryagin maximum principle, determine normal, singular, and abnormal extremals, provide a complete description of the switching structure for bang-bang extremals of the time-optimal problem, describe their branchings, and derive Jacobi-type second-order optimality conditions for the problem with the quadratic functional. Finally we discuss the relations between 2-chained and power form systems. Plenum Publishing Corporation, 1996 Chained systems nationallicence optimal control problems nationallicence Pontryagin maximum principle nationallicence extremals nationallicence switching structure nationallicence second-order optimality conditions nationallicence Sarychev A. Department of Mathematics, University of Aveiro, 3810, Aveiro, Portugal aut Nijmeijer H. Department of Applied Mathematics, University of Twente, PO Box 217, 7500 AE, Enschede, The Netherlands aut Journal of Dynamical and Control Systems Kluwer Academic Publishers-Plenum Publishers 2/4(1996-10-01), 503-527 1079-2724 2:4<503 1996 2 10883 https://doi.org/10.1007/BF02254700 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02254700 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sarychev A. Department of Mathematics, University of Aveiro, 3810, Aveiro, Portugal aut NATIONALLICENCE 700 1- Nijmeijer H. Department of Applied Mathematics, University of Twente, PO Box 217, 7500 AE, Enschede, The Netherlands aut NATIONALLICENCE 773 0- Journal of Dynamical and Control Systems Kluwer Academic Publishers-Plenum Publishers 2/4(1996-10-01), 503-527 1079-2724 2:4<503 1996 2 10883 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer