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作者:Tran, Gia Quoc Bao; Bernard, Pauline
作者单位:Universite PSL; MINES ParisTech
摘要:This work presents the Kazantzis-Kravaris/Luenberger (KKL) observer design for nonlinear time-varying discrete systems. We first give sufficient conditionson the existence of a sequence of functions(Tk)k is an element of Ntrans-forming the given system dynamics into an exponentiallystable filter of the output in some other target coordinates,where an observer is directly designed. Then, we prove thatunder uniform Lipschitz backward distinguishability, themaps(Tk)k is an element of Nbecome unif...
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作者:Umsonst, David; Sartas, Serkan; Dan, Gyorgy; Sandberg, Henrik
作者单位:Royal Institute of Technology; Middle East Technical University; Royal Institute of Technology
摘要:We present a moving target defense strategy to reduce the impact of stealthy sensor attacks on feedback systems. The defender periodically and randomly switches between thresholds from a discrete set to increase the uncertainty for the attacker and make stealthy attacks detectable. However, the defender does not know the exact goal of the attacker but only the prior of the possible attacker goals. Here, we model one period with a constant threshold as a Bayesian game and use the Bayesian Nash ...
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作者:Zhang, Lantian; Guo, Lei
作者单位:Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
摘要:This article investigates adaptive identification and prediction problems for stochastic dynamical systems with saturated output observations, which arise from various fields in engineering and social systems, but up to now still lack comprehensive theoretical studies including guarantees for the estimation performance needed in practical applications. With this impetus, this article has made the following main contributions. First, to introduce an adaptive two-step quasi-Newton algorithm to i...
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作者:Li, Huanhuan; Liu, Tengfei; Jiang, Zhong-Ping
作者单位:Northeastern University - China; New York University
摘要:This article presents a Lyapunov formulation of the small-gain theorem for the finite-time input-to-state stability (FTISS) of an interconnected nonlinear system composed of two or more FTISS subsystems. In addition, an FTISS-Lyapunov function for the interconnected system is constructed from the FTISS-Lyapunov functions of the subsystems. With respect to the previously developed nonlinear, Lyapunov-based small-gain theorem restricted to input-to-state stability, a new power-function-based sca...
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作者:Sezer, Furkan; Khazaei, Hossein; Eksin, Ceyhun
作者单位:Texas A&M University System; Texas A&M University College Station; State University of New York (SUNY) System; Stony Brook University
摘要:Information design in an incomplete information game involves a designer that aims to influence players' actions through signals generated from a designed probability distribution to optimize its objective function. For quadratic design objective functions, if the players have quadratic payoffs that depend on the players' actions and an unknown payoff-relevant state, and signals on the state that follow a Gaussian distribution conditional on the state realization, the information design proble...
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作者:Vundurthy, Bhaskar; Kanellopoulos, Aris; Gupta, Vijay; Vamvoudakis, Kyriakos G.
作者单位:Carnegie Mellon University; Royal Institute of Technology; Purdue University System; Purdue University; University System of Georgia; Georgia Institute of Technology
摘要:Fictitious play is a popular learning algorithm in which players that utilize the history of actions played by the players and the knowledge of their own payoff matrix can converge to the Nash equilibrium under certain conditions on the game. We consider the presence of an intelligent player that has access to the entire payoff matrix for the game. We show that by not conforming to fictitious play, such a player can achieve a better payoff than the one at the Nash Equilibrium. This result can ...
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作者:Yu, Hongyu; Jiao, Xiaopei; Yau, Stephen S. -T.
作者单位:Tsinghua University; Yanqi Lake Beijing Institute of Mathematical Sciences & Applications
摘要:Ever since the Lie algebra method was introduced to construct finite dimensional nonlinear filters by Brockett and Mitter independently, there has been an intense interest in classifying all finite dimensional estimation algebras and finding new classes of finite dimensional recursive filters. The estimation algebra method has been proven to be an invaluable tool in the nonlinear filtering theory. This article considers the finite dimensional estimation algebras derived from a nonlinear filter...
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作者:Kato, Rui; Ishii, Hideaki
作者单位:Institute of Science Tokyo; Tokyo Institute of Technology; University of Tokyo
摘要:New stability conditions for cluster synchronization of Kuramoto oscillators are presented. Our approach is based on averaging criteria, but the standard method for stability analysis cannot be directly applied due to the lack of uniform continuity with respect to a perturbation parameter. First, we overcome this technical difficulty with the help of nonmonotonic Lyapunov functions. Our extensions of averaging criteria are the key to unify the existing cluster synchronization conditions: 1) th...
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作者:Kim, Jihun; Ding, Yuhao; Bi, Yingjie; Lavaei, Javad
作者单位:University of California System; University of California Berkeley
摘要:Optimal control problems can be solved via a one-shot (single) optimization or a sequence of optimization using dynamic programming (DP). However, the computation of their global optima often faces NP-hardness, and thus only locally optimal solutions may be obtained at best. In this work, we consider the discrete-time finite-horizon optimal control problem in both deterministic and stochastic cases and study the optimization landscapes associated with two different approaches: one-shot and DP....
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作者:Kundu, Atreyee
作者单位:Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kharagpur
摘要:This note deals with the analysis of input/output-to-state stability (IOSS) and construction of state-norm estimators for continuous-time switched nonlinear systems under restricted switching. Our contributions are twofold. First, given a family of systems, possibly containing unstable dynamics, a set of admissible switches between the subsystems and admissible minimum and maximum dwell times on the subsystems, we identify a class of switching signals that obeys the given restrictions and pres...