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dc.contributor.authorCharalambous, Charalambos D.en
dc.contributor.authorKourtellaris, C. K.en
dc.contributor.authorLoyka, S.en
dc.contributor.authorTzortzis, I.en
dc.creatorCharalambous, Charalambos D.en
dc.creatorKourtellaris, C. K.en
dc.creatorLoyka, S.en
dc.creatorTzortzis, I.en
dc.description.abstractFeedback capacity is extended beyond classical communication channels, to stochastic dynamical systems, which may correspond to unstable control systems or unstable communication channels, subject to average cost constraints of total power κ e [0, to). It is shown that optimal conditional distributions or randomized strategies, have a dual role, to simultaneously control the output process and to encode information. The dual role is due to the interaction of control and information transmission; it states that encoders in communication channels operate as encoders-controllers, while controllers in control systems operate as controllers-encoders. The concepts are illustrated through the analysis of Gaussian control systems with randomized strategies, which are equivalent to Additive Gaussian Noise channels, Stable or Unstable, with arbitrary memory on past outputs, with an average constraint of quadratic form. It is shown that such unstable dynamical systems have Control-Coding Capacity which is operational, precisely as in Shannon's operational definition. However, the control-coding capacity is zero, unless the power κ allocated to the system, exceeds a threshold Kmin, where Kmin is the minimum cost of ensuring asymptotic stability and ergodicity. The excess power κ - Kmin is turned into an achievable rate of information transmission over the dynamical system. © 2017 IEEE.en
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en
dc.sourceIEEE International Symposium on Information Theory - Proceedingsen
dc.sourceIEEE International Symposium on Information Theory - Proceedingsen
dc.subjectInformation theoryen
dc.subjectStochastic systemsen
dc.subjectAsymptotic stabilityen
dc.subjectControl theoryen
dc.subjectSignal encodingen
dc.subjectControl systemsen
dc.subjectConditional distributionen
dc.subjectControl system analysisen
dc.subjectNumber theoryen
dc.subjectDynamical systemsen
dc.subjectStochastic dynamical systemen
dc.subjectCommunication channels (information theory)en
dc.subjectGaussian noise (electronic)en
dc.subjectRandomized strategyen
dc.subjectAdditive gaussian noise channelsen
dc.subjectChannel codingen
dc.subjectClassical communicationen
dc.subjectData communication systemsen
dc.subjectInformation transmissionen
dc.subjectOperational definitionen
dc.subjectSystems interactionen
dc.titleThe capacity of unstable dynamical systems-interaction of control and information transmissionen
dc.description.endingpage2667Πολυτεχνική Σχολή / Faculty of EngineeringΤμήμα Ηλεκτρολόγων Μηχανικών και Μηχανικών Υπολογιστών / Department of Electrical and Computer Engineering
dc.type.uhtypeConference Objecten
dc.contributor.orcidCharalambous, Charalambos D. [0000-0002-2168-0231]

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