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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2000; 37(4): 593-611

Printed July 1, 2000

Copyright © The Korean Mathematical Society.

Stability and constrained controllability of linear control systems in Banach spaces

Vu Ngoc Phat, Jong Yeoul Park, and Il Hyo Jung

Institute of Mathematics of Vietnam, Pusan National University, Pusan National University

Abstract

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For linear time-varying control systems with constrained control described by both differential and discrete-time equations in Banach spaces we give necessary and sufficient conditions for exact global null-controllability. We then show that for such systems, complete stabilizability implies exact null-controllability.

Keywords: stability, controllability, linear operator, stabilizability, Banach space, time-varying system

MSC numbers: 93D15, 34K20, 49M7

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