The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle [PDF]
Systems & Control Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitruk, A. V., Kaganovich, A. M.
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Pontryagin Maximum Principle for Distributed-Order Fractional Systems [PDF]
Mathematics, 2021 We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove a strong necessary optimality condition of Pontryagin type. The possibility that admissible controls are subject to pointwise constraints is new and requires more sophisticated techniques to include a maximality condition ...
Faïçal Ndaïrou, Delfim F. M. Torres
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Overhead crane anti-swing system based on the Pontryagin’s maximum principle
Transport, 2015 Overhead cranes are widely used at industrial enterprises for transportation of materials and products. They are successfully adaptable to technological processes used at an enterprise and their exploitation is inexpensive; in addition, the price of ...
Bronislovas Spruogis +3 more
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Adjoint Differential Inclusions in Necessary Conditions for the Minimal Trajectories of Differential Inclusions [PDF]
, 1984 This paper extends Pontryagin's maximum principle to differential inclusions and nonsmooth criterion functions, relying on a checkable "surjectivity property" of a "linearized set-valued system" around the optimal trajectory.
Frankowska, H.
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An optimal control problem for the systems with integral boundary conditions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, we consider an optimal control problem with a «pure», integral boundary condition. The Green’s function is constructed. Using contracting Banach mappings, a sufficient condition for the existence and uniqueness of a solution to ...
M.J. Mardanov, Y.A. Sharifov
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Contour Following for Scanning Control in SFF Application : Control Trajectory Planning [PDF]
, 1990 Geometric contour following for scanning control in SFF application is used to refine the boundary ofthe parts for increasing the accuracy or to develop the capability to arrange various scanning directions and paths for improving the part strength ...
Beaman, J.J., Wu, Ying-Jeng Engin
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Pontryagin’s maximum principle for the Roesser model with a fractional Caputo derivative [PDF]
Archives of Control SciencesIn this paper, we study the modern mathematical theory of the optimal control problem associated with the fractional Roesser model and described by Caputo partial derivatives, where the functional is given by the Riemann-Liouville fractional integral. In
Shakir Sh. Yusubov, Elimhan N. Mahmudov
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Optimization of two-stage methanogenesis regime based on the Pontryagin’s maximum principle ***
Advanced Engineering Research, 2019 Introduction. The solution to the problem of optimal control of the biogas process under its conversion in two digesters is considered. The work objectives are to propose a mathematical model of this process and to develop an optimal control algorithm ...
S. A. Korolev, D. V. Maykov
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A Within-host Tuberculosis Model Using Optimal Control
JTAM (Jurnal Teori dan Aplikasi Matematika), 2021 In this paper, we studied a mathematical model of tuberculosis with vaccination for the treatment of tuberculosis. We considered an in-host tuberculosis model that described the interaction between Macrophages and Mycobacterium tuberculosis and ...
Yudi Ari Adi
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Geodesic fields for Pontryagin type $C^0$-Finsler manifolds
, 2021 Let $M$ be a differentiable manifold, $T_xM$ be its tangent space at $x\in M$ and $TM=\{(x,y);x\in M;y \in T_xM\}$ be its tangent bundle. A $C^0$-Finsler structure is a continuous function $F:TM \rightarrow \mathbb [0,\infty)$ such that $F(x,\cdot): T_xM
Fukuoka, Ryuichi, Rodrigues, Hugo Murilo
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