On weak feller continuity properties of non-linear filters
dc.contributor.author | Kara, A. D. | |
dc.contributor.author | Saldı, Naci | |
dc.contributor.author | Yuksel, S. | |
dc.date.accessioned | 2020-09-09T08:27:52Z | |
dc.date.available | 2020-09-09T08:27:52Z | |
dc.date.issued | 2019 | |
dc.identifier.isbn | 978-1-7281-1398-2 | |
dc.identifier.issn | 0743-1546 | en_US |
dc.identifier.uri | http://hdl.handle.net/10679/6929 | |
dc.identifier.uri | https://ieeexplore.ieee.org/document/9030100 | |
dc.description.abstract | Weak Feller property of controlled and control free Markov chains leads to many desirable properties. In control-free setups this leads to the existence of invariant probability measures for compact spaces and applicability of numerical approximation methods. For controlled setups, this leads to existence and approximation results for optimal control policies. We know from stochastic control theory that partially observed systems can be converted to fully observed systems by replacing the original state space with a probability measure-valued state space, with the corresponding kernel acting on probability measures known as the non-linear filter process. In this paper, we prove the weak Feller property of the non-linear filter process (i) first under weak continuity of the transition probability of controlled Markov chain and total variation continuity of its observation channel, and then, (ii) under total variation continuity of the transition probability of controlled Markov chain. The former result (i) has first appeared in Feinberg et. al. (2016). Here, we present a concise and easy to follow alternative proof for this existing result. The latter result (ii) establishes weak Feller property of non-linear filter process under conditions which have not been previously reported in the literature. | en_US |
dc.description.sponsorship | Natural Sciences and Engineering Research Council of Canada | |
dc.language.iso | eng | en_US |
dc.publisher | IEEE | en_US |
dc.relation.ispartof | 2019 IEEE 58th Conference on Decision and Control (CDC) | |
dc.rights | restrictedAccess | |
dc.title | On weak feller continuity properties of non-linear filters | en_US |
dc.type | Conference paper | en_US |
dc.publicationstatus | Published | en_US |
dc.contributor.department | Özyeğin University | |
dc.contributor.authorID | (ORCID 0000-0002-2677-7366 & YÖK ID 283091) Saldı, Naci | |
dc.contributor.ozuauthor | Saldı, Naci | |
dc.identifier.startpage | 654 | en_US |
dc.identifier.endpage | 659 | en_US |
dc.identifier.wos | WOS:000560779000103 | |
dc.identifier.doi | https://doi.org/10.1109/CDC40024.2019.9030100 | en_US |
dc.identifier.scopus | SCOPUS:2-s2.0-85082479986 | |
dc.relation.publicationcategory | Conference Paper - International - Institutional Academic Staff |
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