This paper Continues our study of the minimum time problem with dynamics driven by a particular type of differential inclusion. We prove under certain assumptions that the dual arc associated to an optimal solution and the supergradient of the value function along the solution are intertwined in this new setting. We also derive new optimality conditions that contain nonsmooth features with an additional constancy condition on the Hamiltonian. (C) 2012 Elsevier Ltd. All rights reserved.
Cannarsa, P., Marino, F., Wolenski, P. (2013). The dual arc inclusion with differential inclusions. NONLINEAR ANALYSIS, 79, 176-189 [10.1016/j.na.2012.11.021].
The dual arc inclusion with differential inclusions
CANNARSA, PIERMARCO;
2013-01-01
Abstract
This paper Continues our study of the minimum time problem with dynamics driven by a particular type of differential inclusion. We prove under certain assumptions that the dual arc associated to an optimal solution and the supergradient of the value function along the solution are intertwined in this new setting. We also derive new optimality conditions that contain nonsmooth features with an additional constancy condition on the Hamiltonian. (C) 2012 Elsevier Ltd. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
