On Infinite-horizon Minimum Energy Control
Mohamed-Ali Belabbas, Xudong Chen

TL;DR
This paper investigates the conditions under which the infinite-horizon minimum energy control problem has a solution for linear time-invariant systems, focusing on stabilizability and eigenvalue properties.
Contribution
It establishes necessary and sufficient conditions for the existence of solutions to the infinite-horizon minimum energy control problem for LTI systems.
Findings
Solution exists if and only if (A, B) is stabilizable and A has no imaginary eigenvalues.
Provides a complete characterization of solvability conditions for the problem.
Highlights the importance of eigenvalue placement in control design.
Abstract
We address the infinite-horizon minimum energy control problem for linear time-invariant finite-dimensional systems . We show that the problem admits a solution if and only if is stabilizable and does not have imaginary eigenvalues.
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Taxonomy
TopicsParallel Computing and Optimization Techniques
