The transylvanian problem of renewable resources
R. Hartl, A. Mehlmann (1982)
RAIRO - Operations Research - Recherche Opérationnelle
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Displaying similar documents to “Optimal control of a production-inventory system with state constraints and a quadratic cost criterion”
The transylvanian problem of renewable resources
Optimal control from inoculation on a continuous microalgae culture
Jorge Antonio Torres-Muñoz, Irandi Gutierrez-Carmona, Alma Rosa Dominguez-Bocanegra (2016)
Kybernetika
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The present work is centred on the problem of biomass productivity optimization of a culture of microalgae Spirulina maxima. The mathematical tools consisted of necessary and sufficient conditions for optimal control coming from the celebrated Pontryagin's Maximum Principle (PMP) as well as the Bellman's Principle of Optimality, respectively. It is shown that the optimal dilution rate turns to be a bang-singular-bang control. It turns out that, the experimental results are in accordance...
Minimizing energy use for a road expansion in a transportation system using optimal control theory.
Bounkhel, Messaoud, Tadj, Lotfi (2006)
Applied Mathematics E-Notes [electronic only]
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Optimal control of production inventory systems with deteriorating items and dynamic costs.
Benhadid, Yacine, Tadj, Lotfi, Bounkhel, Messaoud (2008)
Applied Mathematics E-Notes [electronic only]
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Optimal control of deteriorating production inventory systems.
Bounkhel, Messaoud, Tadj, Lotfi (2005)
APPS. Applied Sciences
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On singular arcs in nonsmooth optimal control
Hans Oberle, Ricki Rosendahl (2008)
Control and Cybernetics
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Singular controls and chattering arcs in optimal control problems arising in biomedicine
Urszula Ledzewicz, Heinz Schättler (2009)
Control and Cybernetics
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Switchings of optimal controls and the equation ,
Pavol Brunovský, John J. Mallet-Paret (1985)
Časopis pro pěstování matematiky
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Nonlinear Receding Horizon Control of Production Inventory Systems With Deteriorating Items
M. Bounkhel, L. Tadj, R. Hedjar (2008)
The Yugoslav Journal of Operations Research
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A simple solution to the finite-horizon LQ problem with zero terminal state
Lorenzo Ntogramatzidis (2003)
Kybernetika
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This short paper deals with the classical finite-horizon linear-quadratic regulator problem with the terminal state constrained to be zero, for both continuous and discrete-time systems. Closed-form expressions for the optimal state and costate trajectories of the Hamiltonian system, as well as the corresponding control law, are derived through the solutions of two infinite- horizon LQ problems, thus avoiding the use of the Riccati differential equation. The computation of the optimal...