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作者:Ye, Huawen
作者单位:Central South University
摘要:This article provides finite-time stabilizing control laws for the continuous triangular systems, in which the nominal dynamics is the chain of power integrators with the power of a positive odd rational number. For a class of continuous lower-triangular systems, the linear controllers are designed. By invoking a vector Lyapunov function theory, there is no need to use the usual back-stepping technique and a quite number of inequality computations are avoided. For a class of continuous upper-t...
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作者:Li, Zhi; Zhang, Ying; Wu, Ai-Guo
作者单位:Harbin Institute of Technology
摘要:In this article, a novel iterative algorithm is proposed to obtain the positive definite solutions of the discrete coupled Riccati matrix equations. In the presented algorithm, there are no operations of matrix inversion in all iterative steps. Another significant feature of this algorithm is that the latest updated information is used when the current estimation for each unknown matrix is conducted by taking the coupling structure of the discrete coupled Riccati matrix equations into consider...
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作者:Bistritz, Ilai; Heydaribeni, Nasimeh; Anastasopoulos, Achilleas
作者单位:Stanford University; University of Michigan System; University of Michigan
摘要:We consider an environment where players need to decide whether to buy a certain product (or adopt a technology) or not. The product is either good or bad, but its true value is unknown to the players. Instead, each player has her own private information on its quality. Each player can observe the previous actions of other players and estimate the quality of the product. A classic result in the literature shows that in similar settings, informational cascades occur, where learning stops for th...
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作者:Rigo, Damiano; Segala, Chiara; Sansonetto, Nicola; Muradore, Riccardo
作者单位:University of Verona; RWTH Aachen University
摘要:Attitude estimation is a core problem in many mobile robotic systems, such as unmanned aerial and ground vehicles. The configuration space of these systems is properly modeled by exploiting the theory of Lie groups. In this article, we propose a second-order-optimal minimum-energy filter on the matrix Lie group TSE(2), the tangent bundle of the special Euclidean group SE(2), where the optimality is with respect to a cost function in the unknown input and output error measurements. In this arti...
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作者:Abate, Matthew; Coogan, Samuel
作者单位:University System of Georgia; Georgia Institute of Technology; University System of Georgia; Georgia Institute of Technology; University System of Georgia; Georgia Institute of Technology
摘要:Safety for dynamical systems is often posed as an invariance constraint, requiring the system trajectory to remain in some safe subset of the state-space for all time. This note presents new tools for studying reachability and set invariance for nondeterministic systems subject to a disturbance input using the theory of mixed-monotone dynamical systems. The vector field of a mixed-monotone system is characterized as being decomposable into increasing and decreasing components, which allows the...
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作者:Wang, Xue-Fang; Sun, Xi-Ming; Ye, Maojiao; Liu, Kun-Zhi
作者单位:Dalian University of Technology; Nanjing University of Science & Technology
摘要:In this article, a noncooperative game in which the engaged players are of double integrator-type dynamics, is investigated. The dynamics of the players are considered to be subject to unknown time-varying disturbances and unmodeled terms. Besides, the communication topology among the players suffers from attacks and time-varying communication delays. To find a Nash equilibrium for such games, a distributed robust Nash equilibrium seeking algorithm is proposed. By utilizing average dwell-time ...
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作者:Ito, Hiroshi
作者单位:Kyushu Institute of Technology
摘要:This article addresses analysis and control of the SIR model of infectious diseases in the framework of input-to-state stability (ISS) with respect to the net flow of susceptible individuals into a region in both disease-free and epidemic situations. The key development is the construction of a continuously differentiable strict Lyapunov function. First, this article clarifies that a continuously differentiable Lyapunov function whose derivative is nonpositive can deduce asymptotic stability o...
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作者:Liu, Wei; Shi, Peng; Wang, Shuoyu
作者单位:Zhejiang Gongshang University; Kochi University Technology; University of Adelaide; Kochi University Technology
摘要:This article is concerned with the distributed Kalman filtering problem for discrete-time linear systems whose measurement information comes from a set of sensor nodes that can communicate with their direct neighbors. Two algorithms for distributed Kalman filtering are proposed, where the first algorithm is based on single-node measurement and the second algorithm is based on neighboring-node measurements. In order to improve the performance, a novel criterion is introduced to the algorithm de...
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作者:Paternain, Santiago; Bazerque, Juan Andres; Ribeiro, Alejandro
作者单位:Rensselaer Polytechnic Institute; Universidad de la Republica, Uruguay; Pennsylvania Commonwealth System of Higher Education (PCSHE); University of Pittsburgh; University of Pennsylvania
摘要:Reinforcement learning aims to find policies that maximize an expected cumulative reward in Markov decision processes with unknown transition probabilities. Policy gradient (PG)-algorithms use stochastic gradients of the value function to update the policy. A major drawback of PG-algorithms is that they are limited to episodic tasks (multiple finite-horizon trajectories) unless stringent stationarity assumptions are imposed on the trajectories. Hence, they need restarts and cannot be fully imp...
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作者:Zhang, Bin; Song, Yan
作者单位:University of Shanghai for Science & Technology
摘要:This article is concerned with the model-predictive control (MPC) problem based on optimizing prediction dynamics (OPD) for a class of discrete-time Markovian jump systems with polytopic uncertainties and hard constraints, where a hidden Markov model is constructed to tackle the asynchronous problem between the system modes and the controller modes. A new MPC strategy with OPD is put forward to achieve a nice tradeoff among the online computation burden, the initial feasible region, and the co...