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Approximation of the minimal robustly positively invariant set for discrete-time LTI systems with persistent state disturbances

Rakovic S. V. and Kerrigan E. C. and Kouramas K. I. and Mayne D. Q.

August 2003
Technical Report: EEE/C&P/SVR/8-b/2003

Abstract

This paper provides a solution to the problem of computing a robustly positively invariant outer approximation of the minimal robustly positively invariant set for a discrete-time linear time-invariant system. It is assumed that the disturbance is additive and persistent, but bounded.

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BibTex Entry

@TechReport{rakovic:kerrigan:kouramas:mayne:2003b,
author = {Rakovic S. V. and Kerrigan E. C. and Kouramas K. I. and Mayne D. Q.},
institution = {Department of Electrical and Electronic Engineering, Imperial College London},
title = {Approximation of the minimal robustly positively invariant set for discrete-time LTI systems with persistent state disturbances},
year = {2003},
address = {London, UK},
bibkey = {rakovic:kerrigan:kouramas:mayne:2003b},
month = {August},
note = {EEE/C&P/SVR/8-b/2003}
}