Property - preserving convergent sequences of invariant sets for linear discrete - time systems

N. Athanasopoulos, M. Lazar, G. Bitsoris

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Abstract

Abstract: New sequences of monotonically increasing sets are introduced, for linear discrete-time systems subject to input and state constraints. The elements of the set sequences are controlled invariant and admissible regions of stabilizability. They are generated from the iterative application of the inverse reachability mapping, its geometric generalization, called the inverse directional reachability mapping, and mappings constructed by parts of the one-step inverse reachability and the one-step inverse directional reachability set.The four proposed set sequences converge to the maximal region of stabilizability.
Original languageEnglish
Title of host publication21st International Symposium on Mathematical Theory on Networks and Systems (MTNS), July 7-11, 2014 Groningen, The Netherlands
PublisherMTNS
Pages1280-1286
Publication statusPublished - 2014
Event21st International Symposium on Mathematical Theory on Networks and Systems (MTNS 2014) - Groningen, Netherlands
Duration: 7 Jul 201411 Jul 2014
Conference number: 21st

Conference

Conference21st International Symposium on Mathematical Theory on Networks and Systems (MTNS 2014)
Abbreviated titleMTNS 2014
Country/TerritoryNetherlands
CityGroningen
Period7/07/1411/07/14

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