Second‐Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT It has been shown recently that optimal control problems with the dynamical constraint given by second‐order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach.
Michael Konopik +4 more
wiley +1 more source
Ain Shams Engineering JournalWomen's empowerment is essential for societal development, with government initiatives playing a pivotal role in this process. This study introduces a fractional-order mathematical model capturing the dynamics of women's empowerment, emphasizing the ...
A. El-Mesady +3 more
doaj +1 more source
Optimal control of a delayed smoking model with immigration
Journal of Biological Dynamics, 2019 In this paper, we formulate a smoking model with delay and immigration, and the possibility of optimal controls both over the susceptible and heavy problem smoker subjects is assumed. The existence of the optimal control pair is also proved.
Caixia Sun, Jianwen Jia
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Pontryagin's Minimum Principle for output-feedback systems: A compact overview
Pontryagin's Maximum Principle is one of two famous results towards characterization of solutions of optimal control problems. Due to a shift in the desire from maximizing gain or profit to minimizing costs it is nowadays more often and henceforth in ...
Kallies, Christian
core +1 more source
Sufficient Stochastic Maximum Principle in a Regime-Switching Diffusion Model [PDF]
, 2011 We prove a sufficient stochastic maximum principle for the optimal control of a regime-switching diffusion model. We show the connection to dynamic programming and we apply the result to a quadratic loss minimization problem, which can be used to solve a
Catherine Donnelly, Donnelly, Catherine
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Time Optimal Hybrid Sliding Mode-PI Control for an Autonomous Underwater Robot
International Journal of Advanced Robotic Systems, 2008 This paper presents an underwater robot control system using combination principle among sliding mode control (SMC), Pontryagin maximum principle and linear PI control.
Theerayuth Chatchanayuenyong +1 more
doaj +2 more sources
Analysis the brachistochronic motion of a mechanical system with nonlinear nonholonomic constraint [PDF]
FME Transactions, 2014 This paper analyzes the problem of brachistochronic planar motion of a mechanical system with nonlinear nonholonomic constraint. The nonholonomic system is represented by two Chaplygin blades of negligible dimensions, which impose nonlinear constraint in
Radulović Radoslav D. +4 more
doaj
Optimal Control Strategies in an Alcoholism Model
Abstract and Applied Analysis, 2014 This paper presents a deterministic SATQ-type mathematical model (including susceptible, alcoholism, treating, and quitting compartments) for the spread of alcoholism with two control strategies to gain insights into this increasingly concerned about ...
Xun-Yang Wang +3 more
doaj +1 more source
Analysis of the minimum required coefficient of sliding friction at brachistochronic motion of a nonholonomic mechanical system [PDF]
FME Transactions, 2014 The paper analyzes the problem of brachistochronic motion of a nonholonomic mechanical system, using an example of a simple car model. The system moves between two default positions at an unaltered value of the mechanical energy during motion ...
Radulović Radoslav D. +2 more
doaj
An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities [PDF]
, 1992 Projet PROMATHThis paper deals with state-constrained optimal control problems governed by semilinear elliptic equations or variational inequalities. By using Ekeland's principle, we derive a minimum principle of Pontryagin's type under some stability ...
Casas, Eduardo, Bonnans, J. Frederic
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