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作者：Zhang, Jin; Fridman, Emilia
作者单位：Shanghai University; Tel Aviv University
摘要：The article studies robust stabilization of the second and third-order (with relative degree 3) linear uncertain systems by a fast-varying square wave dither with high frequency 1/epsilon and high gain, where epsilon > 0 is small. In contrast to the existing methods for control by fast oscillations that are all qualitative, we present constructive quantitative results for finding an upper bound on epsilon that ensures the exponential stability. Our method consists of two steps: 1) we construct...
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作者：Drummond, Ross; Valmorbida, Giorgio
作者单位：University of Sheffield; Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS)
摘要：A class of Lyapunov functions for discrete-time Lurie systems with monotonic nonlinearities is proposed. The Lyapunov functions are composed of quadratic terms on the states and of the system's nonlinearities as well as Lurie-Postnikov-type integral terms. Crucially, positive definiteness of the matrix in the generalized quadratic form and positivity of the scaling terms of the Lurie-Postnikov integrals are relaxed in the stability conditions. Furthermore, they are used for regional stability ...
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作者：Kolarijani, Mohamad Amin Sharifi; Esfahani, Peyman Mohajerin
作者单位：Delft University of Technology
摘要：We propose two novel numerical schemes for the approximate implementation of the dynamic programming (DP) operation concerned with finite-horizon optimal control of discrete time systems with input-affine dynamics. The proposed algorithms involve discretization of the state and input spaces and are based on an alternative path that solves the dual problem corresponding to the DP operation. We provide error bounds for the proposed algorithms, along with a detailed analysis of their computationa...
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作者：Guo, Jia; Paruchuri, Sai Tej; Kurdila, Andrew J.
作者单位：Virginia Polytechnic Institute & State University
摘要：In this article, an adaptive nonparametric method is proposed to estimate the unknown scalar-valued function that appears in systems governed by ordinary differential equations (ODEs). We recast the nonlinear estimation problem in a finite-dimensional Euclidean space into a linear one in an infinite-dimensional reproducing kernel Hilbert space (RKHS) by viewing the unknown function as a functional parameter in the RKHS, for which an RKHS embedded adaptive estimator is developed. The convergenc...
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作者：Zhang, Wentao; Zuo, Zhiqiang; Wang, Yijing; Hu, Guoqiang
作者单位：Tianjin University; Nanyang Technological University; Nanyang Technological University; Tianjin University
摘要：As multiagent systems always involve a large number of nodes and connections, it is crucial to study the privacy-preserving problem with minimal corrupted noise in the framework of differential privacy or noise-perturbation schemes. We first show that a moderate amount of noise is sufficient to ensure privacy as long as the minimal observability subspace of the considered system is blurred by noise. Based on this, it is shown that blurring more than half of the sensors can provide a desirable ...
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作者：Shen, Hao; Zhang, Yigang; Wang, Jing; Cao, Jinde; Rutkowski, Leszek
作者单位：Anhui University of Technology; Anhui University of Technology; Southeast University - China; Yonsei University; Polish Academy of Sciences; Systems Research Institute of the Polish Academy of Sciences; AGH University of Krakow
摘要：In this note, the control problem for discrete-time hidden semi-Markov jump systems is investigated under the situation that the system modes are unavailable directly. Compared with the previous results, the case when both system modes and states are immeasurable simultaneously is fully considered and an observer-based control scheme is established for discrete-time hidden semi-Markov jump systems. The random parameters of the systems are subject to a two-layer stochastic process and the under...
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作者：Vasquez-Beltran, Marco Augusto; Jayawardhana, Bayu; Peletier, Reynier F.
作者单位：Eindhoven University of Technology; University of Groningen; University of Groningen; Kapteyn Astronomical Institute
摘要：In this work, we study and analyze a class of Duhem hysteresis operators that can exhibit butterfly loops. We study first the consistency property of such operator, which corresponds to the existence of an attractive periodic solution when the operator is subject to a periodic input signal. Subsequently, we study the two defining functions of the Duhem operator such that the corresponding periodic solutions can admit a butterfly input-output phase plot. We present a number of examples where th...
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作者：Daeichian, Abolghasem
作者单位：Arak University
摘要：As a specific trait of quantum mechanics, quantum superposition is exploited in many applications, such as quantum computation. This article proposes a feedback scheme to stabilize the desired quantum superposition states. To this aim, a new factorization is derived for the stochastic master equation of a quantum system which is driven by the field in the superposition of coherent states. Then, a feedback scheme is proposed, which consists of a quantum system driven by the field in the superpo...
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作者：Sassano, Mario; Mylvaganam, Thulasi
作者单位：University of Rome Tor Vergata; Imperial College London
摘要：Infinite-horizon optimal control problems for nonlinear systems are considered. Due to the nonlinear and intrinsically infinite-dimensional nature of the task, solving such optimal control problems is challenging. In this article, an exact finite-dimensional characterization of the optimal solution over the entire horizon is proposed. This is obtained via the (static) minimization of a suitably defined function of (projected) trajectories of the underlying Hamiltonian dynamics on a hypersphere...
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作者：Xu, Henglei; Mao, Xuerong
作者单位：University of Strathclyde
摘要：In this article, the authors apply the Razumikhin technique to investigate the stabilization of hybrid stochastic systems by feedback control based on discrete-time state observations, rather than the widely used comparison idea or Lyapunov functional method to this problem. Further, we extend the Razumikhin method to study the asymptotic boundedness of hybrid stochastic systems. The coefficients of these stochastic systems considered do not meet the usual linear growth condition, but are high...
