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作者：Felipe, Alexandre; Oliveira, Ricardo C. L. F.
作者单位：Universidade Estadual de Campinas
摘要：This article addresses the problem of robust stabilization of uncertain linear systems by static state- and output-feedback control laws. The uncertainty is supposed to belong to a polytope and both continuous- and discrete-time systems are investigated. Contrarily to the main stream of the linear matrix inequality (LMI)-based robust stabilization methods available in the literature, where the product between the Lyapunov (or slack variable) and control gain matrices is transformed in a new va...
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作者：Li, Fengzhong; Liu, Yungang
作者单位：Shandong University
摘要：This article aims to enlarge the applicability of event-triggered control for stochastic systems, and is particularly concerned with event-triggered stabilization for stochastic systems with control-dependent diffusion term. Roughly treating stochastic noises as unfavorable factors for system stability, the related works are based on Lyapunov-type conditions for ISS property with respect to sampling error as those in the nonstochastic context. The conditions imply the existence of a twice-diff...
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作者：Li, Mengmou; Chesi, Graziano; Hong, Yiguang
作者单位：University of Hong Kong; Tongji University; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS
摘要：In this article, a distributed optimization problem is investigated via input feedforward passivity. First, an input-feedforward-passivity-based continuous-time distributed algorithm is proposed. It is shown that the error system of the proposed algorithm can be decomposed into a group of individual input feedforward passive (IFP) systems that interact with each other using output feedback information. Based on this IFP framework, convergence conditions of a suitable coupling gain are derived ...
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作者：Dias, Elaine Santos; Costa Alberto, Luis Fernando; Amaral, Fabiolo Moraes; Chiang, Hsiao-Dong
作者单位：Universidade de Sao Paulo; Cornell University
摘要：A comprehensive theory for the stability boundaries and the stability regions of a general class of nonlinear discrete dynamical systems is developed in this article. This general class of systems is modeled by diffeomorphisms and admits as limit sets only fixed points and periodic orbits. Topological and dynamical characterizations of stability boundaries are developed. Necessary and sufficient conditions for fixed points and periodic orbits to lie on the stability boundary are derived. Numer...
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作者：Kochdumper, Niklas; Althoff, Matthias
作者单位：Technical University of Munich
摘要：We introduce sparse polynomial zonotopes, a new set representation for formal verification of hybrid systems. Sparse polynomial zonotopes can represent nonconvex sets and are generalizations of zonotopes, polytopes, and Taylor models. Operations like Minkowski sum, quadratic mapping, and reduction of the representation size can be computed with polynomial complexity w.r.t. the dimension of the system. In particular, for reachability analysis of nonlinear systems, the wrapping effect is substan...
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作者：Mishra, Vikas Kumar; Markovsky, Ivan
作者单位：Vrije Universiteit Brussel
摘要：We consider exact system identification in the behavioral setting: Given an exact (noise-free) finite time series, find the set of bounded complexity linear time-invariant systems that fit the data exactly. First, we modify the notion of the most powerful unfalsified model for the case of finite data by fixing the number of inputs and minimizing the order. Then, we give necessary and sufficient identifiability conditions, i.e., conditions under which the true data generating system coincides w...
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作者：Qi, Jie; Krstic, Miroslav
作者单位：Donghua University; University of California System; University of California San Diego
摘要：We develop a predictor-based distributed feedback controller that guarantees exponential stability for a class of reaction-diffusion partial differential equations (PDEs) subject to spatially varying input delay. The delay depends on the location of the input in the spatial domain. In order to design a distributed controller to compensate the spatially varying delay, we first introduce an implicit backstepping transformation, which contains the state of the target system on both sides of the d...
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作者：Egidio, Lucas N.; Deaecto, Grace S.
作者单位：Universidade Estadual de Campinas; Linkoping University
摘要：This article deals with the codesign of an output-dependent switching function and a full-order affine filter for discrete-time switched affine systems. More specifically, from the measured output, the switched filter has the role of providing essential information for the switching function, which must assure global practical stability of a desired equilibrium point. The design conditions are based on a general quadratic Lyapunov function and are expressed in terms of linear matrix inequaliti...
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作者：Fele, Filiberto; Margellos, Kostas
作者单位：University of Oxford
摘要：We consider a multiagent noncooperative game with agents' objective functions being affected by uncertainty. Following a data driven paradigm, we represent uncertainty by means of scenarios and seek a robust Nash equilibrium solution. We treat the Nash equilibrium computation problem within the realm of probably approximately correct learning. Building upon recent developments in scenario-based optimization, we accompany the computed Nash equilibrium with a priori and a posteriori probabilisti...
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作者：Jiang, Yao-Lin; Xu, Kang-Li
作者单位：Xi'an Jiaotong University
摘要：In this article, we propose two new iterative algorithms to solve the frequency-limited Riemannian optimization model order reduction problems of linear and bilinear systems. Different from the existing Riemannian optimization methods, we design a new Riemannian conjugate gradient scheme based on the Riemannian geometry notions on a product manifold, and then generate a new search direction. Theoretical analysis shows that the resulting search direction is always descent with depending neither...
