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Titlebook: Numerical Methods for Optimal Control Problems; Maurizio Falcone,Roberto Ferretti,William M. McEne Book 2018 Springer Nature Switzerland A

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Computation of Optimal Trajectories for Delay Systems: An Optimize-Then-Discretize Strategy for Gentrol. We first derive the optimality conditions and an explicit representation of the gradient of the cost functional. Then, we use explicit discretizations of the state/costate equations and employ general-purpose Non-Linear Programming (NLP) solvers, in particular Conjugate Gradient or Quasi-Newto
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POD-Based Economic Optimal Control of Heat-Convection Phenomena,sidered together with bilateral control and state constraints. The aim is to keep the temperature in a prescribed range with the least possible heating cost. In order to gain regular Lagrange multipliers a Lavrentiev regularization for the state constraints is utilized. The regularized optimal contr
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Minimum Energy Estimation Applied to the Lorenz Attractor,’ method of least squares. Its application to filtering of control systems goes back at least to Mortensen who called it Maximum Likelyhood Estimation. For linear, Gaussian systems it reduces to maximum likelihood estimation (aka Kalman Filtering) but this is not true for nonlinear systems. We prefe
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Maurizio Falcone,Roberto Ferretti,William M. McEnePresents recent mathematical methods for optimal control problems and their applications.Provides rigorous mathematical results.Offers several hints on numerical methods and on the construction of eff
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