Conditions of exact null controllability and the problem of complete stabilizability for time-delay systems

2019/12/02 by Pavel Barkhayev, Barkhayev, Pavel, Rabah Rabah +4
Computer Science · Engineering · Mathematics · #Cybersecurity and Information Systems #FOS: Mathematics #Mathematical Control Systems and Analysis #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #math.OC

paper · pdf · doi:10.48550/arxiv.1912.00878

arxiv created 2019/12/02 · openalex publication_date 2019/12/02 · arxiv updated 2019/12/03 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

For a class of linear time-delay control systems satisfying the property of completability of the generalized eigenvectors we prove that the problems of complete stabilizability and exact null controllability are equivalent.

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