Optimization of linear systems with controllable coefficients

DOI10.1134/S0005117911060063zbMath1230.49019arXiv1004.3237MaRDI QIDQ647783

O. V. Baturina, V. F. Krotov, A. V. Bulatov

Publication date: 24 November 2011

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3237

zbMATH Keywords

linear differential equationspartial linearizationPontryagin extremalsdynamic invariantsnumerical methods of control optimization

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Linear-quadratic optimal control problems (49N10) Discrete approximations in optimal control (49M25) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (14)

The Bubnov-Galerkin method in control problems for bilinear systems ⋮ An approximate method for solving optimal control problems for discrete systems based on local approximation of an attainability set ⋮ Optimal control synthesis for the constrained bilinear biquadratic regulator problem ⋮ On One Method of Optimization of Quantum Systems Based on the Search for Fixed Points ⋮ Control optimization in bilinear systems ⋮ Optimal control of a constrained bilinear dynamic system ⋮ On one class of optimal control problems for quantum systems ⋮ Sequential improvement method in probabilistic criteria optimization problems for linear-in-state jump diffusion systems ⋮ Krotov type optimization of coherent and incoherent controls for open two-qubit systems ⋮ Discontinuous solutions of the optimal control problems. Iterative optimization method ⋮ Optimal control of the spin system on a basis of the global improvement method ⋮ Turnpike solutions in optimal control problems for quantum-mechanical systems ⋮ Topology optimization for elastic base under rectangular plate subjected to moving load ⋮ Krotov method for optimal control of closed quantum systems

Cites Work

• Control of the quantum systems and some ideas of the optimal control theory
• On numeric solution of linear-quadratic optimal control problem by dual method
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