Exact Controllability Implies Completely Stabilizability of Perturbed Linear Time-Varying Nonlocal System in the Real Hilbert Space

  • haitham alghraby university of kerbala
  • Radhi A. Zaboon
  • Naseif J. Al-Jawari
Keywords: perturbed linear Time-Varying nonlocal systems, Semigroup theory, Perturbation theory, Controllability, Stabilizability, Hilbert space, and Riccati equation.

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.

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Published
2021-09-03
How to Cite
alghraby, haitham, Radhi A. Zaboon, & Naseif J. Al-Jawari. (2021). Exact Controllability Implies Completely Stabilizability of Perturbed Linear Time-Varying Nonlocal System in the Real Hilbert Space. Al-Qadisiyah Journal of Pure Science, 26(4), 501–516. https://doi.org/10.29350/qjps.2021.26.4.1320
Section
Special Issue (Silver Jubilee)