Optimal control of nonlinear processes

D Grass, JP Caulkins, G Feichtinger, G Tragler… - Berlino: Springer, 2008 - Springer
The goal of this book is to prepare readers to apply the optimal control theory to nonlinear
processes beyond the standard applications. The examples investigated in depth are drawn …

Elastic stability of concentric tube robots subject to external loads

J Ha, FC Park, PE Dupont - IEEE Transactions on Biomedical …, 2015 - ieeexplore.ieee.org
Concentric tube robots, which are comprised of precurved elastic tubes that are
concentrically arranged, are being developed for many medical interventions. The shape of …

Perturbations of extremal problems with constraints and necessary optimality conditions

AV Arutyunov - Journal of Soviet Mathematics, 1991 - Springer
The methods of perturbations occupy a significant place in the contemporary investigations
in the theory of extremal problems, differential equations, differential games, in the …

Solution differentiability for nonlinear parametric control problems

H Maurer, HJ Pesch - SIAM Journal on Control and Optimization, 1994 - SIAM
Perturbed nonlinear control problems with data depending on a vector parameter are
considered. Using second-order sufficient optimality conditions, it is shown that the optimal …

Conjugate points and shocks in nonlinear optimal control

N Caroff, H Frankowska - Transactions of the American Mathematical …, 1996 - ams.org
We investigate characteristics of the Hamilton-Jacobi-Bellman equation arising in nonlinear
optimal control and their relationship with weak and strong local minima. This leads to an …

Optimal data integrity attack on actuators in cyber-physical systems

G Wu, J Sun - 2016 American Control Conference (ACC), 2016 - ieeexplore.ieee.org
The security issues are of prime importance for Cyber-Physical Systems (CPSs). Most
existing works mainly investigate the secure control schemes against malicious attackers …

[PDF][PDF] Generalized conjugate points for optimal control problems

PD Loewen, H Zheng - Nonlinear Analysis: Theory, Methods & …, 1994 - wwwf.imperial.ac.uk
U:= (UE R'"Igi(u) I 0, i E I'; gi(U) = 0, i E Z2]. Page 1 Nonhnear Analysis, Theory, Methods &
Applications. Vol. 22, No. 6, pp. 771-791. 1994 Pergamon Copyright 0 1994 Elsevier …

Reid roundabout theorem for symplectic dynamic systems on time scales

R Hilscher - Applied Mathematics and Optimization, 2001 - Springer
The principal aim of this paper is to state and prove the so-called Reid roundabout theorem
for the symplectic dynamic system (S) z Δ=\cal S tz on an arbitrary time scale\Bbb T, so that …

Optimal control of aerospace systems with control-state constraints and delays

R Bonalli - 2018 - theses.hal.science
In this work, we address the real-time optimal guidance of launch vehicles with the objective
of designing an autonomous algorithm for the prediction of optimal control strategies, based …

Necessary and sufficient conditions for local optimality of a periodic process

Q Wang, JL Speyer - SIAM Journal on Control and Optimization, 1990 - SIAM
The accessory minimization problem constructed from the second variation about a periodic
extremal path with free period is investigated. Both necessary and sufficient conditions for a …