Results 31 to 40 of about 7,836 (185)
Contact geometry of the Pontryagin maximum principle [PDF]
Automatica, 2015 This paper gives a brief contact-geometric account of the Pontryagin maximum principle. We show that key notions in the Pontryagin maximum principle---such as the separating hyperplanes, costate, necessary condition, and normal/abnormal minimizers---have natural contact-geometric interpretations.
openaire +2 more sources
Energy Efficient and Safe Control Strategy for Electric Vehicles Including Driver Preference
IEEE Access, 2021 In this manuscript, a control strategy for electric vehicles is developed to optimise the energy consumption while respecting constraints associated with both inter-vehicle safety and comfort, which is a challenge in typical optimal control solution ...
Sepehr G. Dehkordi +4 more
doaj +1 more source
The Maximum Principle of Pontryagin in Control of Twolegged Robot Based on Human Walking System
International Journal of Applied Mechanics and Engineering, 2014 In the paper a hypothesis about state equations of human gait is presented. Instantaneous normalized power developed by human muscles at particular joints of a leg is a control vector in state equations of the human walking system.
K.K. Żur
doaj +1 more source
Evaporation of liquid under acoustic-vacuum exposure
Case Studies in Thermal Engineering, 2021 The theory of optimal control used is based on the Pontryagin maximum principle under the acoustic-vacuum exposure affecting the liquid evaporation process in an experimental container.
V.I. Trushlyakov +2 more
doaj +1 more source
Abstract and Applied Analysis, 2014 The present paper deals with the necessary optimality condition for a class of distributed parameter systems in which the system is modeled in one-space dimension by a hyperbolic partial differential equation subject to the damping and mixed constraints ...
Ismail Kucuk, Kenan Yildirim
doaj +1 more source
Time-Optimal Control Problem of Two Non-Synchronous Oscillators
Mathematics, 2022 The time-optimal control problem for a system consisting of two non-synchronous oscillators is considered. Each oscillator is controlled with a shared limited scalar control. The objective of the control is to accelerate the oscillatory system to a given
Leonid Berlin +2 more
doaj +1 more source
A Pareto–Pontryagin Maximum Principle for Optimal Control
Symmetry, 2022 In this paper, an attempt to unify two important lines of thought in applied optimization is proposed. We wish to integrate the well-known (dynamic) theory of Pontryagin optimal control with the Pareto optimization (of the static type), involving the maximization/minimization of a non-trivial number of functions or functionals, Pontryagin optimal ...
Alberto Lovison, Franco Cardin
openaire +1 more source
Continuous-Time Portfolio Selection: A Cursory Survey
Frontiers in Applied Mathematics and Statistics, 2020 In this article we provide a short survey on continuous-time portfolio selection. We explain the pioneering contribution of Merton and the use of dynamic programming.
Se Yung Bae, Junkee Jeon, Hyeng Keun Koo
doaj +1 more source
Global search algorithm for optimal control [PDF]
, 1970 Random-search algorithm employs local and global properties to solve two-point boundary value problem in Pontryagin maximum principle for either fixed or variable end-time problems. Mixed boundary value problem is transformed to an initial value problem.
Brocker, D. H. +2 more
core +1 more source
Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations [PDF]
, 2014 Optimal control problems of forward-backward stochastic Volterra integral equations (FBSVIEs in short) are formulated and studied. A general duality principle is established for linear backward stochastic integral equation and linear stochastic Fredholm ...
Shi, Yufeng +2 more
core