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作者:Cui, Shaoxuan; Zhao, Qi; Zhang, Guofeng; Jardon-Kojakhmetov, Hildeberto; Cao, Ming
作者单位:University of Groningen; Qingdao University of Science & Technology; Hong Kong Polytechnic University; University of Groningen
摘要:It is known that the effect of species' density on its growth is nonadditive in real ecological systems. This challenges the conventional Lotka-Volterra model, where the interactions are always pairwise and their effects are additive. To address this challenge, we introduce higher order interactions, which are able to capture, for example, the indirect effect of one species on a second one correlating to yet a third. Towards this end, we study a general higher order Lotka-Volterra model. We pr...
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作者:Kost, Oliver; Dunik, Jindrich; Puncochar, Ivo; Straka, Ondrej
作者单位:University of West Bohemia Pilsen
摘要:This article deals with the noise identification of a linear time-varying stochastic dynamic system described by the state-space model. In particular, the stress is laid on the design of the correlation measurement difference method for estimation of the state and measurement noise covariance matrices for both observable and unobservable systems with possibly unknown input sequence. The method provides unbiased and consistent estimates and is implemented in a publicly available Matlab toolbox ...
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作者:Cui, Shaoxuan; Zhao, Qi; Zhang, Guofeng; Jardon-Kojakhmetov, Hildeberto; Cao, Ming
作者单位:University of Groningen; Qingdao University of Science & Technology; Hong Kong Polytechnic University; University of Groningen
摘要:It is known that the effect of species' density on its growth is nonadditive in real ecological systems. This challenges the conventional Lotka-Volterra model, where the interactions are always pairwise and their effects are additive. To address this challenge, we introduce higher order interactions, which are able to capture, for example, the indirect effect of one species on a second one correlating to yet a third. Towards this end, we study a general higher order Lotka-Volterra model. We pr...
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作者:Kost, Oliver; Dunik, Jindrich; Puncochar, Ivo; Straka, Ondrej
作者单位:University of West Bohemia Pilsen
摘要:This article deals with the noise identification of a linear time-varying stochastic dynamic system described by the state-space model. In particular, the stress is laid on the design of the correlation measurement difference method for estimation of the state and measurement noise covariance matrices for both observable and unobservable systems with possibly unknown input sequence. The method provides unbiased and consistent estimates and is implemented in a publicly available Matlab toolbox ...
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作者:Cui, Shaoxuan; Zhao, Qi; Zhang, Guofeng; Jardon-Kojakhmetov, Hildeberto; Cao, Ming
作者单位:University of Groningen; Qingdao University of Science & Technology; Hong Kong Polytechnic University; University of Groningen
摘要:It is known that the effect of species' density on its growth is nonadditive in real ecological systems. This challenges the conventional Lotka-Volterra model, where the interactions are always pairwise and their effects are additive. To address this challenge, we introduce higher order interactions, which are able to capture, for example, the indirect effect of one species on a second one correlating to yet a third. Towards this end, we study a general higher order Lotka-Volterra model. We pr...
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作者:Kost, Oliver; Dunik, Jindrich; Puncochar, Ivo; Straka, Ondrej
作者单位:University of West Bohemia Pilsen
摘要:This article deals with the noise identification of a linear time-varying stochastic dynamic system described by the state-space model. In particular, the stress is laid on the design of the correlation measurement difference method for estimation of the state and measurement noise covariance matrices for both observable and unobservable systems with possibly unknown input sequence. The method provides unbiased and consistent estimates and is implemented in a publicly available Matlab toolbox ...
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作者:Hua, Youqing; Liu, Shuai; Hong, Yiguang; Ren, Wei
作者单位:Shandong University; Tongji University; Tongji University; University of California System; University of California Riverside
摘要:The dual challenges of high communication costs and gradient inaccessibility-common in privacy-sensitive systems or black-box environments-drive our work on communication-constrained, gradient-free distributed optimization. We propose a compressed distributed stochastic zeroth-order algorithm (Com-DSZO), which requires only two function evaluations per iteration and incorporates general compression operators. Rigorous analysis establishes a sublinear convergence rate for both smooth and nonsmo...
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作者:Chen, Gongpu; Liew, Soung Chang
作者单位:Chinese University of Hong Kong; Imperial College London
摘要:This article investigates Markov decision processes (MDPs) with intermittent state information. We consider a scenario where the controller perceives the state of the process via an unreliable communication channel. The transmissions of state information over the whole time horizon are modeled as a Bernoulli lossy process. Hence, the problem is finding an optimal policy for selecting actions in the presence of state information losses. We first formulate the problem as a belief MDP to establis...
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作者:Abdelgalil, Mahmoud; Georgiou, Tryphon T.
作者单位:University of California System; University of California San Diego; University of California System; University of California Irvine
摘要:The theory of Monge-Kantorovich optimal mass transport has in recent years spurred a fast developing phase of research in stochastic control, control of ensemble systems, thermodynamics, data science, and several other fields in engineering and science. We herein introduce a new type of transportation problems. The salient feature of these problems is that particles/agents in the ensemble are labeled and their relative position along their journey is of interest. Of particular importance in ou...
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作者:Ofir, Ron; Bullo, Francesco; Margaliot, Michael
作者单位:Tel Aviv University; University of California System; University of California Santa Barbara
摘要:We derive a new sufficient condition for 2-contraction of a feedback interconnection of two nonlinear dynamical systems. Our condition is based on, first, deriving new formulas for the 2-multiplicative [2-additive] compound of block matrices using block Kronecker products [sums], second, a hierarchical approach for proving standard contraction, and third, a network small-gain theorem for Metzler matrices. We demonstrate our results by deriving a simple sufficient condition for 2-contraction in...