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A geometric approach to convex processes

Publikováno v: SIAM Journal on Control and Optimization, 60(4), 2574-2600. SIAM PUBLICATIONS

This paper studies system theoretic properties of the class of difference inclusions of convex processes. We will develop a framework considering eigenvalues and eigenvectors, weakly and strongly invariant cones, and a decomposition of convex process

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18004c68c8d13211adf33ebdeae8cd67
https://hdl.handle.net/11370/b17a31de-ca4f-49f3-8c85-cae402f95e6c

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On eigenvectors of convex processes in non-pointed cones

Autor: Jaap Eising, M. Kanat Camlibel

Publikováno v: Journal of Mathematical Analysis and Applications, 513(2):126236. ACADEMIC PRESS INC ELSEVIER SCIENCE

Spectral analysis of convex processes has led to many results in the analysis of differential inclusions with a convex process. In particular the characterization of eigenvalues with eigenvectors in a given cone has led to results on controllability

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b09e683bba79f697d22f8f7527dfb91
https://hdl.handle.net/11370/a5217392-1603-4bd3-988b-de54595d0c0e

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On Duality for Lyapunov Functions of Nonstrict Convex Processes

Autor: M. Kanat Camlibel, Jaap Eising

Publikováno v: 2020 59th IEEE Conference on Decision and Control, CDC 2020, 1288-1293
STARTPAGE=1288;ENDPAGE=1293;TITLE=2020 59th IEEE Conference on Decision and Control, CDC 2020
CDC

This paper provides a novel definition for Lyapunov functions for difference inclusions defined by convex processes. It is shown that this definition reflects stability properties of nonstrict convex processes better than previously used definitions.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1ee230c0f7f3dff3f3e3ce966f8d794
https://hdl.handle.net/11370/617dca8c-65c9-404e-b5c8-3cda508ff19d

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Informativity for centralized design of distributed controllers for networked systems

Autor: Jaap Eising, Jorge Cortes

Recent work in data-driven control has led to methods that find stabilizing controllers directly from measurements of an unknown system. However, for multi-agent systems we are often interested in finding controllers that take their distributed natur

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1bdc983063e3561413f229080220376b

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On Reachability and Null-Controllability of Nonstrict Convex Processes

Autor: Jaap Eising, M.K. Camlibel

Publikováno v: IEEE Control Systems Letters, 3(3):8718792, 751-756. IEEE

This letter studies reachability and null-controllability for difference inclusions involving convex processes. Such difference inclusions arise, for instance, in the study of linear discrete-time systems whose inputs and/or states are constrained to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2025316e27796692da0f22e463a8b0a2
https://hdl.handle.net/11370/b7ae65ea-54b3-48a5-8484-81b05e4c7dc4

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Data informativity: A new perspective on data-driven analysis and control

Autor: M. Kanat Camlibel, Henk J. van Waarde, Jaap Eising, Harry L. Trentelman

Publikováno v: IEEE-Transactions on Automatic Control, 65(11), 4753-4768. IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC

The use of persistently exciting data has recently been popularized in the context of data-driven analysis and control. Such data have been used to assess system theoretic properties and to construct control laws, without using a system model. Persis

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a384d1bb328ae954d17f84ad1c15867
https://research.rug.nl/en/publications/2b2dc929-47c4-477e-be47-2b8a9bbafd96

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Informativity of noisy data for structural properties of linear systems

Autor: Jaap Eising, Harry L. Trentelman

Publikováno v: Systems and Control Letters, 158:105058. ELSEVIER SCIENCE BV

This paper deals with developing tests for checking whether an unknown system has certain structural properties. The tests that we are aiming at are in terms of noisy input–state–output data obtained from the unknown system. Since, in general, th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5007716243e6064631b681c626fb1a1
https://doi.org/10.1016/j.sysconle.2021.105058

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A Simple Answer to Gelfand’s Question

Autor: Jaap Eising, Jakob Top, David G. Radcliffe

Publikováno v: American mathematical monthly, 122(03), 234-245

Using elementary techniques, a question named after the famous Russian mathematician I. M. Gelfand is answered. This concerns the leading (i.e., most significant) digit in the decimal expansion of integers 2n, 3n, …, 9n. The history of this questio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::979f094a5d837f586922c2aab714c939
https://hdl.handle.net/11370/f83e1d0a-b162-4469-b25a-e5c550d8c066

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Data Informativity for Observability: An Invariance-based Approach

Autor: Harry L. Trentelman, Jaap Eising, M. Kanat Camlibel

Publikováno v: Scopus-Elsevier
ECC
Proceedings of the 12th European Control Conference, South-Korea

Observability is a central concept within systemsand control. In particular, many solutions to control problemshave observability as a prerequisite. This paper is interested incharacterizing observability in the case where the system is notfully know

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b5feb33eff4486c7f0e6d6449364315
http://www.scopus.com/inward/record.url?eid=2-s2.0-85090168911&partnerID=MN8TOARS

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