Globally Null-Controllability and Complete stabilizability for Perturbed Linear Time-Varying System in Real Composition of Hilbert Spaces

Authors

Haitham M. Hussein Al-Ghraby, University of Kerbala, College of Engineering, IraqFollow
Radhi A. Zaboon, Al-Mustansiriya University, College of Science, Department of Mathematics, IraqFollow
Naseif J. Jawari, Al-Mustansiriya University, College of Science, Department of Mathematics, IraqFollow

Document Type

Article

Abstract

This paper deals with the problem of controllability and stabilizability of the perturbed linear time-varying nonlocal system defined in some suitable real Hilbert space. The aim of this paper is to show that any globally null-controllable system is completely stabilizability and conversely, under some additional conditions the complete stabilizability implies global null-controllability.

Keywords

perturbed linear Time-Varying nonlocal systems, Semigroup theory, Perturbation theory, Controllability, Stabilizability, Hilbert space, and Riccati equation.

Recommended Citation

Al-Ghraby, Haitham M. Hussein; Zaboon, Radhi A.; and Jawari, Naseif J. (2021) "Globally Null-Controllability and Complete stabilizability for Perturbed Linear Time-Varying System in Real Composition of Hilbert Spaces," Al-Qadisiyah Journal of Pure Science: Vol. 26 : No. 4 , Article 48.
Available at: https://doi.org/10.29350/qjps.2021.26.4.1320

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