2018/10/25 by Touraj Soleymani, John S. Baras, Soleymani, Touraj +3
Computer Science · Mathematics · #Age of Information Optimization #Computer science #Control (management) #Controller (irrigation) #Data mining #Distributed systems and fault tolerance #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Limit (mathematics) #Mathematical optimization #Mathematics #Measure (data warehouse) #Observable #Optimal control #Optimization and Control (math.OC) #Queueing theory #Stochastic control #cs.IT #math.IT #math.OC
paper · pdf · doi:10.48550/arxiv.1810.10983
arxiv created 2018/10/25 · openalex publication_date 2018/10/25 · arxiv updated 2018/10/26 · openalex created_date 2020/07/16 · openalex updated_date 2026/08/05
In this study, we adopt age of information as a measure of the staleness of information, and take initial steps towards analyzing the control performance of stochastic systems with stale information. Our goals are to cast light on a fundamental limit on the information staleness that is required for a certain level of the control performance and to specify the corresponding stalest information pattern. In the asymptotic regime, such a limit asserts a critical information staleness that is required for stabilization. We achieve these goals by formulating the problem as a stochastic optimization problem and characterizing the associated optimal solutions. These solutions are in fact a control policy, which specifies the control inputs of the plant, and a queuing policy, which specifies the staleness of information at the controller.