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Stabilization of Linear Nonautonomous Systems with Norm-Bounded Controls

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Abstract

In this paper, we study the stabilization problem for a class of linear nonautonomous systems with norm-bounded controls. Using the Lyapunov function technique, we establish simple verifiable stabilizability conditions without solving any Riccati differential equation. Numerical examples are given to illustrate the results.

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Communicated by F. E. Udwadia

This work was supported by the National Basic Program in Natural Sciences, Vietnam and by a Thailand Research Fund Grant. The authors thank the anonymous referees for valuable comments and remarks which have improved the paper.

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Phat, V.N., Niamsup, P. Stabilization of Linear Nonautonomous Systems with Norm-Bounded Controls. J Optim Theory Appl 131, 135–149 (2006). https://doi.org/10.1007/s10957-006-9129-1

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  • DOI: https://doi.org/10.1007/s10957-006-9129-1

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