Invariant stabilization of classes of uncertain systems with delays

Invariant stabilization of classes of uncertain systems with delays

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Article ID: iaor20119666
Volume: 72
Issue: 9
Start Page Number: 1941
End Page Number: 1950
Publication Date: Sep 2011
Journal: Automation and Remote Control
Authors: ,
Keywords: matrices, control, programming: dynamic
Abstract:

This paper deals with uncertain systems with delayed argument and having the property that the entries of the state matrix are functionals of arbitrary nature with the only available information being the bounds on their variations. Using quadratic Lyapunov‐Krasovskii functionals of the special form, the control is designed such that it is robust against the variations in the plant matrix, the system output decays exponentially no matter what the persistent exogenous disturbance is, and the state vector remains bounded.

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