Optimization of linear systems with controlled coefficients
Olga V. Baturina, Alexander V. Bulatov, and Vadim F. Krotov
TL;DR
This paper discusses necessary optimality conditions and numerical methods for solving an optimal control problem involving a linear continuous-time dynamical system with controlled coefficients and a quadratic goal functional.
Contribution
It introduces new necessary optimality conditions and numerical approaches tailored for linear systems with controlled coefficients.
Findings
Derived necessary optimality conditions for the control problem.
Proposed numerical methods for solving the optimal control problem.
Validated methods through theoretical analysis.
Abstract
Necessary optimality conditions and numerical methods for solving an optimal control problem for a linear continuous-time dynanical system with controlled coefficients and quadratic goal functional are discussed.
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Taxonomy
TopicsAerospace Engineering and Control Systems · Optimization and Variational Analysis · Spacecraft Dynamics and Control