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作者:Serry, Mohamed; Liu, Jun
作者单位:University of Waterloo; University of Waterloo
摘要:Underapproximations of reachable sets and tubes have been receiving growing research attention due to their important roles in control synthesis and verification. Available underapproximation methods applicable to continuous-time linear systems typically assume the ability to compute transition matrices and their integrals exactly, which is not feasible in general, and/or suffer from high computational costs. In this note, we attempt to overcome these drawbacks for a class of linear time-invar...
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作者:Chen, Yongxin
作者单位:University System of Georgia; Georgia Institute of Technology
摘要:In this article, we consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., flocks of birds, UAV swarms) and their group behavior can be modeled by a distribution. Thus, this problem can be viewed as an optimal control problem over the space of distributions. We propose a novel algorithm to compute a feedback control strategy so that, when adopted by ...
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作者:Ebeigbe, Donald; Nguyen, Thang
作者单位:Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; Texas A&M University System; Thuyloi University
摘要:Existing research results on regressor-based control use the linear parameterization of the dynamic equation into a known regressor matrix and an uncertain parameter vector. In this note, we show that the well-known robust controller that assumes a known regressor matrix can yield undesirable performance and poor robustness capabilities if there is uncertainty in the regressor matrix, especially when dealing with larger robots. The novelty of our result lies in accounting for uncertainties in ...
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作者:Feng, Zhangcheng; Xu, Wenying; Cao, Jinde
作者单位:Southeast University - China; Southeast University - China; Purple Mountain Laboratories; Yonsei University
摘要:This article is concerned with distributed Nash equilibrium (NE) problem for multiplayer games under the Round-Robin (RR) protocol. For the purpose of effectively mitigating data congestion and saving communication resources, the RR protocol is adopted for each player, under which the player is permitted to transmit data to only one of its neighbors at each time instant. The resulting protocol-induced communication graph become time-varying and even disconnected, even though the original graph...
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作者:Lin, Peng; Wang, Yaozhong; Wang, Dong; Wu, Zheng-Guang
作者单位:Central South University; Dalian University of Technology; Zhejiang University
摘要:The objective of this article is to study containment control problems for multiagent systems with position constraints and switching topologies. The first contribution is to find conditions under which all agents have the possibility to realize containment control in a distributed manner while the position of each agent is constrained to lie in a specific constraint set in the presence of possible conflicts of the position constraints and the requirement of the convergence into the convex hul...
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作者:Mora, Luis A.; Morris, Kirsten
作者单位:University of Waterloo
摘要:In this work, the multiplier method is extended to obtain a general lower bound on the exponential decay rate for port-Hamiltonian systems in one space dimension with boundary dissipation. The physical parameters of the system may be spatially varying. It is shown that, under assumptions of boundary or internal dissipation, the system is exponentially stable. This is established through a Lyapunov function defined through a general multiplier function. Furthermore, an explicit bound on the dec...
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作者:Cao, Fangfei; Jia, Fanlin; He, Xiao
作者单位:Beijing Institute of Technology; Tsinghua University
摘要:This article investigates the sensor bias fault detection and diagnosis problem for linear parabolic partial differential equation (PDE) systems under the existence of unknown input signals. A variation of Wirtinger's inequality is used to design a Luenberger-type PDE observer and radial basis function (RBF) neural networks are applied to approximate the unknown inputs, guaranteeing the boundedness of the state estimation error. Taking the measurement error as the fault indication signal, a re...
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作者:Xiao, Qiang; Zeng, Zhigang; Huang, Tingwen; Lewis, Frank L.
作者单位:Huazhong University of Science & Technology; Qatar Foundation (QF); Texas A&M University Qatar
摘要:Stability theory of linear differential-difference system has been well-established, while fewer results can be found for nonlinear differential-difference systems. In this article, stability and boundedness of homogeneous differential-difference system with bounded delay is studied based on the system positivity. At first, an exponential stability criterion is obtained, which is an extension of an existing result. Next, another boundary is computed under the previous condition, which proves t...
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作者:Mimmo, N.; Marconi, L.; Notarstefano, G.
作者单位:University of Bologna
摘要:The article deals with a well-known extremum seeking scheme by proving uniformity properties with respect to the amplitudes of the dither signal and of the cost function. Those properties are then used to show that the scheme guarantees the global minimizer to be semiglobal practically stable despite the presence of local minima. Under the assumption of a globally Lipschitz cost function, it is shown that the scheme, improved through a high-pass filter, makes the global minimizer practically s...
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作者:Shang, Xinxin; Zhuang, Songlin; Shi, Yang
作者单位:University of Victoria; Yongjiang Laboratory
摘要:This article investigates the asynchronous stabilization problem for a class of discrete-time switched linear systems under dwell-time constraints. A novel conception called basic pattern is proposed which can precisely characterize all the admissible sequences of switched systems under asynchronous switching. Compared to existing methods which are devoted to constructing different Lyapunov functions for achieving less conservative stability conditions, here we report a convex stability criter...