@inproceedings{63d6eef5c0a2485e95d3014614f28fbd,
title = "Ultimate bounds and robust invariant sets for linear systems with state-dependent disturbances",
abstract = "The objective of this chapter is to present a methodology for computing robust positively invariant sets for linear, discrete time-invariant systems that are affected by additive disturbances, with the particularity that these disturbances are subject to state-dependent bounds. The proposed methodology requires less restrictive assumptions compared to similar established techniques, while it provides the framework for determining the state-dependent (parameterized) ultimate bounds for several classes of disturbances. The added value of the proposed approach is illustrated by an optimization-based problem for detecting the mode of functioning of a switching system.",
keywords = "Invariant sets, State dependent disturbances, Ultimate bounds",
author = "Sorin Olaru and Vasso Reppa",
year = "2015",
doi = "10.1007/978-3-319-26687-9_16",
language = "English",
isbn = "9783319266855",
series = "Lecture Notes in Control and Information Sciences",
publisher = "Springer",
pages = "339--359",
editor = "Alexandra Grancharova and Sorin Olaru and Pereira, {Fernando Lobo}",
booktitle = "Developments in Model-Based Optimization and Control",
address = "United States",
}