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作者:Abdelgalil, Mahmoud; Poveda, Jorge I.
作者单位:University of California System; University of California San Diego
摘要:The stability of dynamical systems with oscillatory behaviors and well-defined average vector fields has traditionally been studied using averaging theory. These tools have also been applied to hybrid dynamical systems, which combine continuous and discrete dynamics. However, most averaging results for hybrid systems are limited to first-order methods, hindering their use in systems and algorithms that require high-order averaging techniques, such as hybrid Lie-bracket-based extremum-seeking a...
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作者:Friedrich, Folke; Fokken, Nils; Noack, Matti; Reger, Johann
作者单位:Technische Universitat Ilmenau
摘要:In this article, the state estimation of distributed parameter systems using the modulating function method is extended to systems of two or higher spatial dimensions with spatially varying coefficients and general boundary conditions. At the center of the state observer approach lies the construction and solvability analysis of systematically obtained kernel equations determining the modulating functions. In addition, a method for the state estimation of a class of parabolic systems with time...
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作者:Pachal, Soumen; Bhatnagar, Shalabh; Prashanth, L. A.
作者单位:Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Madras; Indian Institute of Science (IISC) - Bangalore; Indian Institute of Science (IISC) - Bangalore; Bosch; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Madras
摘要:We present a family of generalized simultaneous perturbation-based gradient search (GSPGS) estimators that use noisy function measurements. The number of function measurements required by each estimator is guided by the desired level of accuracy. We first present in detail unbalanced generalized simultaneous perturbation stochastic approximation estimators and later present the balanced versions of these. We extend this idea further and present the generalized smoothed functional and generaliz...
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作者:Kalantarov, Varga K.; Ozsari, Turker; Yilmaz, Kemal Cem
作者单位:Koc University; Ihsan Dogramaci Bilkent University; Izmir Institute of Technology
摘要:In this article, we introduce a finite-dimensional version of backstepping controller design for stabilizing solutions of partial differential equations (PDEs) from boundary. Our controller uses only a finite number of Fourier modes of the state of solution, as opposed to the classical backstepping controller which uses all (infinitely many) modes. We apply our method to the reaction-diffusion equation, which serves only as a canonical example but the method is applicable also to other PDEs wh...
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作者:Yemini, Michal; Nedic, Angelia; Goldsmith, Andrea J.; Gil, Stephanie
作者单位:Bar Ilan University; Arizona State University; Arizona State University-Tempe; Princeton University; Harvard University
摘要:This work focuses on the problem of distributed optimization in multiagent cyberphysical systems, where a legitimate agent's iterates are influenced both by the values it receives from potentially malicious neighboring agents and by its own self-serving target function. We develop a new algorithmic and analytical framework to achieve resilience for the class of problems where stochastic values of trust between agents exist and can be exploited. In this case, we show that convergence to the tru...
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作者:Zhong, Bingzhuo; Liu, Siyuan; Caccamo, Marco; Zamani, Majid
作者单位:Hong Kong University of Science & Technology; Hong Kong University of Science & Technology; Royal Institute of Technology; Technical University of Munich; University of Colorado System; University of Colorado Boulder; University of Munich
摘要:In this note, we present the synthesis of secure-by-construction controllers that address safety and security properties simultaneously in cyber-physical systems. Our focus is on studying a specific security property called opacity, which characterizes the system's ability to maintain plausible deniability of its secret behavior in the presence of an intruder. These controllers are synthesized based on a concept of so-called (augmented) control barrier functions (CBFs). We propose conditions t...
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作者:Liang, Yong; Wang, Bing-Chang; Zhang, Huanshui
作者单位:Shandong University; Shandong Normal University; Shandong University of Science & Technology
摘要:The linear-quadratic mean field social control problem is studied in a large-population system with heterogeneous agents following the direct approach. A graph is introduced to represent the network topology of the large-population system, where nodes represent subpopulations called clusters and edges represent communication relationship. Agents in each cluster are homogeneous and coupled with each other through the global cluster mean field term, which is the stack of average state of agents ...
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作者:Zhao, Dong; Shi, Yang; Ding, Steven X.; Li, Yueyang; Fu, Fangzhou
作者单位:Beihang University; University of Victoria; University of Duisburg Essen; University of Jinan; Sun Yat Sen University
摘要:The replay attack detection problem is studied from a new perspective based on the parity space method in this article. The proposed detection methods can distinguish system fault and replay attack, handle both input and output data replay, maintain certain control performance, and be implemented conveniently and efficiently. First, the replay attack effect on the residual is derived and analyzed. The residual change induced by replay attack is characterized explicitly, and the detection perfo...
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作者:Verrelli, Cristiano Maria; Tomei, Patrizio
作者单位:University of Rome Tor Vergata
摘要:Linear time-varying differential equations that arise in the study of model reference adaptive identification problems are studied in both the continuous-time and the discrete-time frameworks. The original contribution of the article is to present two new strong Lyapunov functions (e.g., Lyapunov functions with negative definite derivative), assessing global uniform asymptotic stability properties under the classical persistency of excitation condition. The first Lyapunov function, in the cont...
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作者:Chapman, Margaret P.; Kalogerias, Dionysis
作者单位:University of Toronto; Yale University
摘要:In this article we develop a generalized stability framework for stochastic discrete-time linear systems that enriches the ways in which the distribution of the state energy can be characterized. We use tools from finance and operations research called risk functionals (i.e., risk measures) to facilitate diverse distributional characterizations. In contrast, classical stochastic stability notions characterize the state energy on average or in probability, which can obscure the variability of s...