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Optimal control and applications to aerospace: some results and challenges
E Trélat - Journal of Optimization Theory and Applications, 2012 - Springer
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 …
Maximum Principle and the conjugate point theory, and how they can be implemented …
A regularized variable projection algorithm for separable nonlinear least-squares problems
Separable nonlinear least-squares (SNLLS) problems arise frequently in many research
fields, such as system identification and machine learning. The variable projection (VP) …
fields, such as system identification and machine learning. The variable projection (VP) …
How many impulses redux
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 …
and magnitude of velocity impulses that minimize the total impulse. This problem was posed …
Uniform trigonometrization method for optimal control problems with control and state constraints
Application of indirect optimization methods to solve constrained optimal control problems is
not a straightforward task. This study presents a new construct, the Uniform …
not a straightforward task. This study presents a new construct, the Uniform …
L2 norm-based control regularization for solving optimal control problems
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 …
switch between control limits or assume values interior to their admissible set, either due to …
Time-optimal control strategies in SIR epidemic models
We investigate the time-optimal control problem in SIR (Susceptible-Infected-Recovered)
epidemic models, focusing on different control policies: vaccination, isolation, culling, and …
epidemic models, focusing on different control policies: vaccination, isolation, culling, and …
Sparse stabilization and control of alignment models
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 …
(2007), there has been a lot of recent works on models of self-alignment and consensus …
Sparse stabilization and optimal control of the Cucker-Smale model
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 …
Bonnard, held in Dijon in June 2012. We focus on a controlled Cucker--Smale model in finite …
Three-degree-of-freedom hypersonic reentry trajectory optimization using an advanced indirect method
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 …
launch vehicle (RLV) in the presence of two control constraints and three state path …
Vectorized Trigonometric Regularization for Singular Control Problems with Multiple State Path Constraints
Optimal control problems (OCPs) with a control-affine Hamiltonian may lead to extremal
solutions with singular control arcs. The presence of singular control arcs along with multiple …
solutions with singular control arcs. The presence of singular control arcs along with multiple …