Results 91 to 100 of about 3,175,486 (148)
, 1998 International audienceThis paper deals with optimal control problems governed by semilinear parabolic equations with pointwise state constraints and unbounded controls.
Raymond, Jean-Pierre, Zidani, H.
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Optimizing the feeding operation of recombinant Escherichia coli during fed-batch cultivation based on Pontryagin's minimum principle [PDF]
, 2013 Recombinant Escherichia coli BL21 was used to produce human-like collagen in fed-batch culture. After building and analyzing the kinetic models of fed-batch cultures, the maximum specific growth rate, Yx/s and Yp/s were 0.411 h-1 , 0.428 g·g-1 and 0.0716
Fan, D +6 more
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Optimal control of a social epidemic model with media coverage
Journal of Biological Dynamics, 2017 A new social epidemic model to depict alcoholism with media coverage is proposed in this paper. Some fundamental properties of the model including existence and positivity as well as boundedness of equilibria are investigated. Stability of all equilibria
Hai-Feng Huo +3 more
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A Dynamic Model for Fishery Resource with Reserve Area and Taxation
Journal of Applied Mathematics, 2012 The present paper deals with a dynamic reaction model of a fishery. The dynamics of a fishery resource system in an aquatic environment consists of two zones: a free fishing zone and a reserve zone.
Hai-Feng Huo +2 more
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A maximum principle for control problems with monotonicity constraints [PDF]
, 2008 The paper develops a version of Pontryagin's maximum principle for optimal control problems with monotonicity constraints on control variables. Whereas the literature handles such constraints by imposing an assumption of piecewise smoothness on the ...
Hellwig, M., Hellwig, Martin
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Discrete Dynamics in Nature and Society, 2016 This paper presents a singular prey-predator fishery model, where maturation delay for prey and gestation delay for predator are considered. Fishing efforts are introduced to harvest prey and predator population, which are developed as control ...
Chao Liu, Longfei Yu, Qingling Zhang
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Geometry of Optimal Control for Control-Affine Systems
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Motivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three.
Jeanne N. Clelland +2 more
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Pontryagin Maximum Principle for Optimal Control of Variational Inequalities
, 1999 International audienceIn this paper we investigate optimal control problems governed by variational inequalities. We present a method for deriving optimality conditions in the form of Pontryagin's principle.
Bergounioux, Maïtine, Zidani, Housnaa
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Maximum principles for optimal controls for elliptic variational inequalities of the second kind
, 1991 A maximum principle is obtained for optimal controls for some elliptic variational inequalities of the second kind by using the penalty method, Ekelans's variational principle, and lower semicontinuity of some set-valued mappings.
Rubio, J.E., Liu, Wenbin
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Nonlinear Analysis, 2013 A dynamical model is proposed and analyzed to discuss the effect of population on a resource biomass by taking into account the crowding effect. It is assumed that the resource biomass, which has commercial importance, is subjected to harvesting.
Balram Dubey, Atasi Patra
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