Linear time-varying systems in Hilbert spaces: Exact controllability implies complete stabilizability

P. Niamsup, V. N. Phat

Abstract


This paper deals with the problem of controllability and stabilizability of linear time-varying control systems in Hilbert spaces. We prove that any globally null-controllable system is completely stabilizable and conversely, under some additional conditions the complete stabilizability implies the global null-controllability. The obtained result extends existing results in the literature to infinite-dimensional and time-varying control systems.

 


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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|