This article surveys the usual techniques of nonlinear optimal control such as the Pontryagin
Maximum Principle and the conjugate point theory, and how they can be implemented …

Separable nonlinear least-squares (SNLLS) problems arise frequently in many research
fields, such as system identification and machine learning. The variable projection (VP) …

A central problem in orbit transfer optimization is to determine the number, time, direction,
and magnitude of velocity impulses that minimize the total impulse. This problem was posed …

We investigate the time-optimal control problem in SIR (Susceptible-Infected-Recovered)
epidemic models, focusing on different control policies: vaccination, isolation, culling, and …

Solutions to practical optimal control problems (OCPs) may consist of control profiles that
switch between control limits or assume values interior to their admissible set, either due to …

Starting with the seminal papers of Reynolds (1987), Vicsek et al.(1995), Cucker–Smale
(2007), there has been a lot of recent works on models of self-alignment and consensus …

Application of indirect optimization methods to solve constrained optimal control problems is
not a straightforward task. This study presents a new construct, the Uniform …

This article is mainly based on the work [7], and it is dedicated to the 60th anniversary of B.
Bonnard, held in Dijon in June 2012. We focus on a controlled Cucker--Smale model in finite …

This study investigates a complicated reentry trajectory optimization problem for a reusable
launch vehicle (RLV) in the presence of two control constraints and three state path …

Regular control problems in the sense of the Legendre condition are defined, and second-
order necessary and sufficient optimality conditions in this class are reviewed. Adding a …