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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.

Proc. 42nd IEEE Conference on Decision and Control, December 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

@InProceedings{rakovic:kerrigan:kouramas:mayne:2003a,
author = {Rakovic S. V. and Kerrigan E. C. and Kouramas K. I. and Mayne D. Q.},
title = {Approximation of the minimal robustly positively invariant set for discrete-time LTI systems with persistent state disturbances},
address = {Maui, Hawaii, USA},
booktitle = {Proc. 42nd IEEE Conference on Decision and Control},
bibkey = {rakovic:kerrigan:kouramas:mayne:2003a},
month = {December},
year = {2003}
}