Results 101 to 110 of about 3,032,055 (192)
Weak maximum principle for optimal control problems of nonsmooth systems
, 2011 In this paper, by considering vector-valued maximum type functions satisfying Lipschitz condition, and optimal control systems with continuous-time which is governed by systems of ordinary differential equation, we derive results similar to Pontryagin's ...
Serkan Ilter, Ilter, Serkan
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Application of Pontryagin's principle to bimodal buckling optimization of micro and nano rods
, 2012 By using the Pontryagin's maximum principle, we determine optimal shape of a nonlocal elastic rod clamped at both ends. In the optimization procedure, we imposed restriction on the minimal value of the cross-sectional area.
Atanackovic, Teodor M +2 more
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Efficient MPC optimization using Pontryagin's Minimum Principle
, 2006 A method of solving the online optimization in model predictive control (MPC) of input-constrained linear systems is described. Using Pontryagin's Minimum Principle, the matrix factorizations performed by general purpose quadratic programming (QP ...
Cannon, M +3 more
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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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Optimal management and spatial patterns in a distributed shallow lake model
Electronic Journal of Differential Equations, 2017 We present a numerical framework to treat infinite time horizon spatially distributed optimal control problems via the associated canonical system derived by Pontryagin's maximum principle.
Dieter Grass, Hannes Uecker
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A class of highly degenerate elliptic operators: maximum principle and unusual phenomena
, 2017 We discuss the validity of the maximum principle below the principal eigenvalue for viscosity solutions of the Dirichlet problem in bounded domains $$ {\cal P}^-_{k}(D^2u)+H(x,\nabla u)+\mu u=0\quad\mbox{in}\;\Omega,\quad u=0\quad\mbox{on}\;\partial ...
Galise, Giulio
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Frontiers in Quantum Science and TechnologyWe numerically study the optimal control of an atomic Bose-Einstein condensate in an optical lattice. We present two generalizations of the gradient-based algorithm, GRAPE, in the non-linear case and for a two-dimensional lattice.
E. Dionis +4 more
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The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin's maximum principle. [PDF]
J Math Biol, 2016 Metz JAJ, Staňková K, Johansson J.
europepmc +1 more source
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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Efficient MPC optimization using Pontryagin's minimum principle
, 2008 A method of solving the online optimization in model predictive control (MPC) of input-constrained linear systems is described. Using Pontryagin's minimum principle, the matrix factorizations performed by general purpose quadratic programming (QP ...
Cannon, M +3 more
core +1 more source