Stabilizability and controllability for systems of difference equations

Abstract

In this paper, we establish the connection between exact controllability and complete stabilizability for systems of difference equations. We prove that the complete stabilizability of a system of difference equations with A surjective implies the exact controllability. By examples we motivate the condition on the surjectivity of A and we show that generally, the converse implication is not valid.

Keywords:

• Difference equation
• Complete stabilizability
• Exact controllability

2000 Mathematics Subject Classification:

• 93 C55
• 93 D15
• 93 B05

Acknowledgements

The author wish to thank the referees for valuable comments, which improved the quality of the paper. The work is supported by a Research Project from West University of Timişoara.

Notes

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Additional information

Notes on contributors

Adina Luminiţa Sasu

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