On Infinite-horizon Minimum Energy Control

2025/02/25 by Mohamed-Ali Belabbas, Xudong Chen, Belabbas, Mohamed-Ali +1
Computer Science · #FOS: Mathematics #Optimization and Control (math.OC) #Parallel Computing and Optimization Techniques

paper · pdf · doi:10.48550/arxiv.2502.17795

openalex publication_date 2025/02/25 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

Abstract

We address the infinite-horizon minimum energy control problem for linear time-invariant finite-dimensional systems (A, B). We show that the problem admits a solution if and only if (A, B) is stabilizable and A does not have imaginary eigenvalues.

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