An infinite-horizon optimal control problem and the stability of the adjoint variable (in Russian)
Dmitry Khlopin
TL;DR
This paper investigates the stability of the adjoint variable in infinite-horizon optimal control problems, focusing on conditions under which the adjoint variable vanishes at infinity along optimal solutions.
Contribution
It provides new insights into the stability conditions of the adjoint variable in infinite-horizon control problems, a topic with limited prior analysis.
Findings
Stability conditions for the adjoint variable are established.
The adjoint variable tends to zero at infinity under certain conditions.
Implications for the design of optimal control strategies.
Abstract
In an infinite-horizon optimal control problem the stability of the adjoint variable implying the vanishing of the adjoint variable at infinity along optimal solution.
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Taxonomy
TopicsAerospace Engineering and Control Systems · Optimization and Variational Analysis · Spacecraft Dynamics and Control