Multiplier methods for nonlinear optimal control
SIAM Journal on Numerical Analysis
Application of the dual active set algorithm to quadratic network optimization
Computational Optimization and Applications
Primal-Dual Strategy for Constrained Optimal Control Problems
SIAM Journal on Control and Optimization
On the Lagrange--Newton--SQP Method for the Optimal Control of Semilinear Parabolic Equations
SIAM Journal on Control and Optimization
Affine Invariant Convergence Analysis for Inexact Augmented Lagrangian-SQP Methods
SIAM Journal on Control and Optimization
POD-based feedback control of the burgers equation by solving the evolutionary HJB equation
Computers & Mathematics with Applications
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A Lagrange-Newton-SQP method is analyzed for the optimal control of the Burgers equation. Boundary controls are given, which are restricted by pointwise lower and upper bounds. The convergence of the method is proved in appropriate Banach spaces. This proof is based on a second-order sufficient optimality condition and the theory of Newton methods for generalized equations in Banach spaces. For the numerical realization a primal-dual active set strategy is applied. To illustrate the theoretical investigations, numerical examples are included. Moreover, a globalization technique for the SQP method is tested numerically.