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Invariant stabilization of classes of uncertain systems with delays

  • Robust and Adaptive Systems
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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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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    A. H. Gelig & I. E. Zuber

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  1. A. H. Gelig
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  2. I. E. Zuber
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Original Russian Text © A.H. Gelig, I.E. Zuber, 2011, published in Avtomatika i Telemekhanika, 2011, No. 9, pp. 161–172.

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Gelig, A.H., Zuber, I.E. Invariant stabilization of classes of uncertain systems with delays. Autom Remote Control 72, 1941–1950 (2011). https://doi.org/10.1134/S0005117911090153

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  • DOI: https://doi.org/10.1134/S0005117911090153

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