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作者：Zhao, Xueyan; Deng, Feiqi
作者单位：South China University of Technology
摘要：In this article, the Halanay inequality is generalized into the time-varying version under simple and natural conditions, without constant to bound the time-varying coefficients. The solution of the underlying inequality is estimated by virtue of the feasible function pair associated with the coefficients and delays. Corollaries are given for typical special cases. Some approaches are illustrated for the searching of the initial feasible pairs, and an iterative procedure is proposed for the op...
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作者：Fabiani, Filippo; Tajeddini, Mohammad Amin; Kebriaei, Hamed; Grammatico, Sergio
作者单位：University of Oxford; University of Tehran; Delft University of Technology
摘要：We propose a two-layer, semidecentralized algorithm to compute a local solution to the Stackelberg equilibrium problem in aggregative games with coupling constraints. Specifically, we focus on a single-leader, multiple-follower problem, and after equivalently recasting the Stackelberg game as a mathematical program with complementarity constraints (MPCC), we iteratively convexify a regularized version of the MPCC as the inner problem, whose solution generates a sequence of feasible descent dir...
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作者：Sharf, Miel; Koch, Anne; Zelazo, Daniel; Allgoewer, Frank
作者单位：Royal Institute of Technology; University of Stuttgart; Technion Israel Institute of Technology
摘要：In this article, we develop a data-based controller design framework for diffusively coupled systems with guaranteed convergence to an F-neighborhood of the desired formation. The controller is composed of a fixed controller with an adjustable gain on each edge. Via passivity theory and network optimization, we not only prove that there exists a gain attaining the desired formation control goal, but we present a data-based method to find an upper bound on this gain. Furthermore, by allowing fo...
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作者：Sung, Yu-Chen; Patil, Sagar, V; Safonov, Michael G.
作者单位：University of Southern California
摘要：For a multiple-input-multiple-output (MIMO) nonlinear feedback system, the robustness against uncertain time-variation (slow or infrequently large) in the feedback loop is investigated in an input-output framework. A couple of sufficient conditions in terms of bounds on average rates of time-variation for the system to be stable are derived. The conditions provide a useful tool for designing adaptive controllers for systems against uncertain large time-variation.
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作者：Yu, Zhan; Ho, Daniel W. C.; Yuan, Deming
作者单位：City University of Hong Kong; Nanjing University of Science & Technology
摘要：This article is concerned with the multiagent optimization problem. A distributed randomized gradient-free mirror descent (DRGFMD) method is developed by introducing a randomized gradient-free oracle in the mirror descent scheme where the non-Euclidean Bregman divergence is used. The classical gradient descent method is generalized without using subgradient information of objective functions. The proposed algorithms are the first distributed non-Euclidean zeroth-order methods, which achieve an...
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作者：Zhang, Kexue; Gharesifard, Bahman; Braverman, Elena
作者单位：University of Calgary; Queens University - Canada
摘要：This article studies the event-triggered control problem of general nonlinear systems with time delay. A novel event-triggering scheme is presented with two tunable design parameters, based on a Lyapunov functional result for the input-to-state stability of time-delay systems. The proposed event-triggered control algorithm guarantees the resulting closed-loop systems to be globally asymptotically stable, uniformly bounded, and/or globally attractive for different choices of these parameters. S...
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作者：Luo, Shixian; Deng, Feiqi; Yu, Xinghuo
作者单位：Guangxi University; South China University of Technology; Royal Melbourne Institute of Technology (RMIT)
摘要：This article proposes a unified Lyapunov framework for analyzing the stochastic asymptotic and finite-time convergence/stability for Ito stochastic nonlinear systems. By exploring the coupling effect between the drift and the diffusion parts of the system, novel almost sure convergence/stability criteria are established. For the finite-time case, the stability criteria not only capture the stabilizing effect of stochastic noise but also include the existing finite-time stability criteria as sp...
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作者：McCarthy, Philip James; Nielsen, Christopher
作者单位：University of Waterloo
摘要：In this article, we examine a regulator problem for a class of fully actuated continuous-time invariant systems on Lie groups, using a discrete-time controller with constant sampling period. We present a smooth discrete-time control law that achieves global regulation on simply connected nilpotent Lie groups. We first solve the problem when both the plant state and exosystem state are available for feedback, then in the case where the plant state and plant output are available for feedback. Th...
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作者：Pang, Bo; Bian, Tao; Jiang, Zhong-Ping
作者单位：New York University; New York University Tandon School of Engineering; Bank of America Corporation
摘要：This article studies the robustness of policy iteration in the context of continuous-time infinite-horizon linear quadratic regulator (LQR) problem. It is shown that Kleinman's policy iteration algorithm is small-disturbance input-to-state stable, a property that is stronger than Sontag's local input-to-state stability but weaker than global input-to-state stability. More precisely, whenever the error in each iteration is bounded and small, the solutions of the policy iteration algorithm are a...
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作者：Falsone, Alessandro; Deori, Luca; Ioli, Daniele; Garatti, Simone; Prandini, Maria
作者单位：Polytechnic University of Milan
摘要：We consider the problem of designing a disturbance compensator for a discrete time linear system, so as to optimize a performance index while satisfying probabilistic state and input constraints in steady-state conditions. The problem is formulated as a chance-constrained program that depends on the compensator parameters through the state and input stationary distributions. In this article, we focus on the Gaussian noise case and provide an analytic expression of the stationary state distribu...
