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作者：Li, Yingying; Qu, Guannan; Li, Na
作者单位：Harvard University; California Institute of Technology
摘要：This article considers online optimization with a finite prediction window of cost functions and additional switching costs on the decisions. We study the fundamental limits of dynamic regret of any online algorithm for both the with-prediction and the no-prediction cases. Besides, we propose two gradient-based online algorithms: receding horizon gradient descent (RHGD) and receding horizon accelerated gradient (RHAG); and provide their regret upper bounds. RHAG's regret upper bound is close t...
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作者：Liu, Kun-Zhi; Wang, Xue-Fang; Teel, Andrew R.; Sun, Xi-Ming; Liu, Jun
作者单位：Dalian University of Technology; University of California System; University of California Santa Barbara; University of Waterloo
摘要：In this article, stability problems are investigated for hybrid systems with memory, which are developed to model hybrid systems affected by time delays. A nested Matrosov functional theorem is proposed to guarantee uniform asymptotic stability for time-varying hybrid systems with memory. Specifically, with a weak Lyapunov functional whose derivative in the flow set and whose difference in the jump set are negative semidefinite, if there exist some Matrosov functionals that satisfy nested cond...
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作者：Zhu, Shiyong; Lu, Jianquan; Lou, Yijun; Liu, Yang
作者单位：Southeast University - China; Chengdu University; Linyi University; Hong Kong Polytechnic University; Zhejiang Normal University
摘要：This article considers asymptotic stability and stabilization of Markovian jump Boolean networks (MJBNs) with stochastic state-dependent perturbation. By defining an augmented random variable as the product of the canonical form of switching signal and state variable, asymptotic stability of an MJBN with perturbation is converted into the set stability of a Markov chain (MC). Then, the concept of induced equations is proposed for an MC, and the corresponding criterion is subsequently derived f...
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作者：Pittiglio, Giovanni; Calo, Simone; Valdastri, Pietro
作者单位：University of Leeds
摘要：The aim of this article is to discuss the observability properties and observer design for the attitude of a rigid body, under conditions of partial inertial sensing. In particular, we introduce an observability analysis tool for the attitude dynamics when only accelerometer and gyroscope measurements are available, as in several robotics applications. In various scenarios, in fact, the measurement of the magnetic field via a magnetometer is unreliable, due to magnetic interferences. Herein, w...
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作者：Sawant, Vishal; Chakraborty, Debraj; Pal, Debasattam
作者单位：Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Bombay
摘要：An intermittent feedback-based control policy is proposed for rejecting bounded disturbance signals in a continuous, linear time-invariant (LTI) system with distinct and rational eigenvalues. The proposed policy maximizes the average feedback-off time while retaining the state trajectory inside a prespecified safe region. To achieve this, the feedback link is alternatively turned on and off. During feedback-on intervals, the state trajectory is steered to the origin in min-max time and then fe...
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作者：Hu, Zhe; Chen, Zhiyong; Zhang, Hai-Tao
作者单位：Huazhong University of Science & Technology; Huazhong University of Science & Technology; University of Newcastle
摘要：For a linear time varying (LTV) system containing stable and unstable modes, this article gives the necessary and sufficient conditions for asymptotic decoupling of stable modes. Establishment of the conditions relies on newly developed techniques for analyzing matrix exponential and state transition matrix. The research exploits fundamental properties of LTV systems and advances the knowledge base of linear control theory. The results can find a direct application in the autonomous synchroniz...
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作者：Kucera, Vladimir
作者单位：Czech Technical University Prague
摘要：A solution is presented to a long-standing open problem of control theory, the decoupling of linear systems using static-state feedback while assuring stability. Both diagonal and block decoupling is considered. The earliest known investigation of system decoupling dates back to 1934 and all past stable solutions were obtained under restrictive assumptions on system, block structure, or on a particular form of the control law. Most often, the results were limited to regular state feedback. The...
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作者：Liu, Yan; Liu, Jun; Li, Wenxue
作者单位：Harbin Institute of Technology; University of Waterloo
摘要：This article considers the stabilization of highly nonlinear stochastic coupled systems (HNSCSs) with time delay via periodically intermittent control. This article is motivated by that known differential inequalities to deal with periodically intermittent control do not work for HNSCSs, since the coefficients of the system do not satisfy the linear growth condition. In order to cope with this problem, a novel Halanay-type inequality is established to handle periodically intermittent control, ...
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作者：Tsukamoto, Hiroyasu; Chung, Soon-Jo
作者单位：California Institute of Technology; California Institute of Technology
摘要：This article presents ConVex optimization-based Stochastic steady-state Tracking Error Minimization (CV-STEM), a new state feedback control framework for a class of Ito stochastic nonlinear systems and Lagrangian systems. Its innovation lies in computing the control input by an optimal contraction metric, which greedily minimizes an upper bound of the steady-state mean squared tracking error of the system trajectories. Although the problem of minimizing the bound is nonconvex, its equivalent c...
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作者：Yu, Hao; Chen, Tongwen
作者单位：University of Alberta
摘要：This article studies Zeno behavior, where an infinite number of events occur in a finite-time interval, in the event-triggered multiagent systems that aim at achieving consensus in finite time. Two popular scenarios in the first-order multiagent systems with model-based event-triggered controllers are considered. One is that the event trigger in each agent samples the absolute information, and decides when to broadcast the information to its neighbors, and the other is that the update of contr...
