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Digressions on Irreversibility and Stochastic Systems

發(fā)布者:翟后銘發(fā)布時間:2024-11-13瀏覽次數(shù):266

主講人:意大利帕多瓦大學(xué)信息工程學(xué)院終身教授,,瑞典皇家工程科學(xué)院外籍院士,Giorgio Picci 博士,、教授

時間:2024年11月14日下午14:00-15:30

地點:J03A101

主辦單位:國際處、研究生院

主講人簡介:意大利帕多瓦大學(xué)信息工程學(xué)院終身教授,、博士生導(dǎo)師,、瑞典皇家工程科學(xué)院外籍院士,、電氣與電子工程師協(xié)會終身會士(Life Fellow of IEEE)、國際自動控制聯(lián)合會會士(IFAC Fellow),。Giorgio Picci教授主要貢獻(xiàn)在于系統(tǒng)控制理論,;尤其是在系統(tǒng)建模、估計和隨機系統(tǒng)辨識領(lǐng)域成就卓著,。其已在國際頂級期刊上發(fā)表論文100余篇,,專著3部。

講座內(nèi)容:We attempt to characterize irreversibility of a dynamical system from the existence of different forward and backward mathematical representations depending on the direction of the time arrow. Such different representations only exist for stochastic diffusion models so one has to face the justification of stochastic descriptions for physical systems which are inherently conservative. This representation can be shown to hold for conservative finite dimensional deterministic systems coupled to an infinite-dimensional conservative heat bath. We show that the heat bath acts on the finite-dimensional model by state-feedback and shifts its eigenvalues to make the system dissipative. Moreover, under a natural family of invariant measures the heat bath induces a white noise input acting on the system making it look like a true dissipative diffusion.



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