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作者：Xiao, Wei; Belta, Calin; Cassandras, Christos G.
作者单位：Boston University; Boston University
摘要：It has been shown that optimizing quadratic costs while stabilizing affine control systems to desired (sets of) states subject to state and control constraints can be reduced to a sequence of quadratic programs (QPs) by using control barrier functions (CBFs) and control Lyapunov functions (CLFs). In this article, we introduce adaptive CBFs (aCBFs) that can accommodate time-varying control bounds and noise in the system dynamics while also guaranteeing the feasibility of the QPs if the original...
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作者：Zhu, Bohao; Lam, James; Xie, Xiaochen; Song, Xiaoqi; Kwok, Ka-Wai
作者单位：University of Hong Kong; The University of Hong Kong Shenzhen Institute of Research & Innovation; University of Hong Kong
摘要：This article is concerned with the stability and L-1-gain analysis of periodic piecewise positive systems with constant time delay. lambda-exponential stability, which is applied to characterize the decay rates of the considered systems, is investigated first. A copositive Lyapunov-Krasovskii functional is used to obtain a sufficient stability condition. The stability condition characterizes the convergent speed of the state by the system matrices and the size of the time delay. One can also a...
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作者：Franco, Roberto; Rios, Hector; de Loza, Alejandra Ferreira; Efimov, Denis
作者单位：Consejo Nacional de Ciencia y Tecnologia (CONACyT); Universite de Lille; Centrale Lille; Inria; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I)
摘要：In this article, a robust nonlinear model reference adaptive control (MRAC) is proposed for disturbed linear systems, i.e., linear systems with parameter uncertainties, and external time-dependent perturbations or nonlinear unmodeled dynamics matched with the control input. The proposed nonlinear control law is composed of two nonlinear adaptive gains. Such adaptive gains allow the control to counteract the effects of some perturbations and nonlinear unmodeled dynamics ensuring asymptotic conv...
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作者：Berezansky, Leonid; Diblik, Josef; Svoboda, Zdenek; Smarda, Zdenek
作者单位：Ben-Gurion University of the Negev; Brno University of Technology
摘要：A linear delayed vector equation (x) over dot(t) = Sigma(m)(k=1) A(k)(t)x(h(k)(t)), t is an element of [0,infinity) is investigated, where x = (x(1), ... , x(n))T is an unknown vector function. The system is considered in the most general setting and under weak assumptions about the entries of matrices A(k) and delays h(k). The main result on uniform exponential stability is universal in the sense that it generates a set of 2(m) - 1 independent explicit statements (that can depend on all delay...
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作者：Barmish, B. Ross; Primbs, James A.; Warnick, Sean
作者单位：Boston University; University of Wisconsin System; University of Wisconsin Madison; California State University System; California State University Fullerton; Brigham Young University
摘要：In this article, we provide a new Markovian-type model for stock price trend analysis at the transaction level, and illustrate its use for trading in conjunction with a controller, which makes buy and sell decisions. Central to our formulation is a sequence of i.i.d. random variables T-k, which corresponds to the number of transactions between reversals in price direction. For a trader, this is an important indicator of the duration of a trend. For processes with large T-k, there is an incenti...
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作者：Xue, Bai; Zhan, Naijun
作者单位：Chinese Academy of Sciences; Institute of Software, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
摘要：In this article, we study the maximal robust invariant set estimation problem for discrete-time perturbed nonlinear systems within the optimal control framework. The maximal robust invariant set of interest is a set of all states such that every possible trajectory starting from it never violates a specified state constraint, regardless of actual disturbances. The maximal robust invariant set is shown to be the zero level set of the unique bounded solution to a Bellman type equation, which is ...
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作者：Chen, Gang; Yang, Qing; Song, Yongduan; Lewis, Frank L.
作者单位：Chongqing University; University of Texas System; University of Texas Arlington
摘要：This article studies the distributed convex optimization problem with a common decision variable, a global inequality constraint, and local constraint sets over a time-varying multiagent network, the objective function of which is a sum of agents' local convex cost functions. To solve such problem, a penalty-based distributed continuous-time subgradient algorithm with time-varying gain is developed for each agent to seek the saddle point of the penalty Lagrangian function. It is shown that an ...
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作者：Aboudonia, Ahmed; Eichler, Annika; Cordiano, Francesco; Banjac, Goran; Lygeros, John
作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich; Helmholtz Association; Deutsches Elektronen-Synchrotron (DESY)
摘要：Various efforts have been devoted to developing stabilizing distributed model predictive control (MPC) schemes for tracking piecewise constant references. In these schemes, terminal sets are usually computed offline and used in the MPC online phase to guarantee recursive feasibility and asymptotic stability. Maximal invariant terminal sets do not necessarily respect the distributed structure of the network, hindering the distributed implementation of the controller. On the other hand, ellipsoi...
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作者：Lee, Ti-Chung; Tan, Ying; Mareels, Iven
作者单位：National Sun Yat Sen University; University of Melbourne; University of Melbourne
摘要：Checking uniform attractivity of a time-varying dynamic system without a strict Lyapunov function is challenging as it requires the characterization of the limiting behavior of a set of trajectories. In the context of hybrid nonlinear time-varying systems, characterizing such limiting or convergent behaviors is even harder due to the complexity stemming from both continuous-time variations as well as discrete-time jumps. In this article, an extension of the standard hybrid time domain is intro...
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作者：Mazenc, Frederic; Bernard, Olivier
作者单位：Universite Paris Saclay; INRAE
摘要：A simple, necessary, and sufficient condition ensuring that a real matrix of dimension three is similar to a Metzler matrix is exhibited. When this condition is satisfied, a construction of the transfer matrix is given. This construction is used to design an interval observer for a family of continuous-time systems. An example is provided with interval observer design for the so-called love dynamics in the case of limit cycles
