This paper gives a survey of the various forms of Pontryagin's maximum principle for optimal
control problems with state variable inequality constraints. The relations between the …

While optimality conditions for optimal control problems with state constraints have been
extensively investigated in the literature the results pertaining to numerical methods are …

The present paper is an introductory and survey paper of the treatment of realistically
modelled optimal control problems from applications in the aerospace field. Especially those …

Air traffic management ensures the safety of flight by optimizing flows and maintaining
separation between aircraft. After giving some definitions, some typical feature of aircraft …

The book is devoted to the theory and application of second-order necessary and sufficient
optimality conditions in the Calculus of Variations and Optimal Control. The theory is …

Minimum time and minimum energy point-to-point trajectories for an industrial robot of the
type Manutec r3 are computed subject to state constraints on the angular velocities. The …

A method for solving zero-finding problems is developed by tracking homotopy paths, which
define connecting channels between an auxiliary problem and the objective problem …

When solving optimal control problems, indirect methods such as multiple shooting suffer
from difficulties in finding an appropriate initial guess for the adjoint variables. For, this initial …

The landing of a passenger aircraft in the presence of windshear is a threat to aviation
safety. The present paper is concerned with the abort landing of an aircraft in such a serious …

The minimum-time transfer of a satellite from a low and eccentric initial orbit toward a high
geostationary orbit is considered. This study is preliminary to the analysis of similar transfer …