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作者：Bajodek, Mathieu; Lhachemi, Hugo; Valmorbida, Giorgio
作者单位：Universite Paris Saclay; Inria; Centre National de la Recherche Scientifique (CNRS)
摘要：This article reports necessary stability conditions for a parabolic partial differential equation (PDE) interconnected through the boundaries to an ordinary differential equation (ODE). We intend to propose numerical certificates for the instability of such interconnections. From one side, using spectral methods, we derive a necessary analytical condition based on root locus analysis, which can be tested in the parameters space. On the other side, using Lyapunov direct and converse approaches,...
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作者：Bistritz, Ilai; Bambos, Nicholas
作者单位：Tel Aviv University; Tel Aviv University; Stanford University; Stanford University
摘要：We consider open games where players arrive according to a Poisson process with rate lambda and stay in the game for an exponential random duration with rate mu. The game evolves in continuous time, where each player n sets an exponential random clock and updates his/her action an is an element of{0,...,K}when it expires. The players take independent actions according to local decision rules that, uninterrupted, are designed to converge to an equilibrium. When lambda is small, the game spends ...
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作者：Geromel, J. C.; Hsu, L.; Nunes, E. V. L.
作者单位：Universidade Estadual de Campinas; Universidade Federal do Rio de Janeiro
摘要：This article provides an linear matrix inequality (LMI)-based procedure for reaching time estimation of the multivariable super-twisting algorithm dealing with convex bounded parameter uncertainty and exogenous disturbances with norm-bounded time-derivative. For a class of Lyapunov functions, we are able to determine the optimal reaching time estimation that emerges from the solution of a surprisingly simple mathematical programming problem. As far as the reaching time estimation and validatio...
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作者：Yan, Yuyue; Hayakawa, Tomohisa
作者单位：Institute of Science Tokyo; Tokyo Institute of Technology
摘要：In this article, we connect cognitive hierarchy theory with the pseudo-gradient dynamics in noncooperative systems to extend the pseudo-gradient dynamics with some prediction behaviors under level-k thinking. In this framework, each agent believes that he is the most sophisticated person in the noncooperative system and makes the proactive decision according to some strategic reasoning of the other agents' likely actions. Depending on a knowledge network of payoff functions, the modified pseud...
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作者：Dhullipalla, Mani H.; Yu, Hao; Chen, Tongwen
作者单位：University of Alberta; Beijing Institute of Technology
摘要：Networked systems, in practice, suffer from several network-induced imperfections. In this article, we consider the problem of distributed control of nonlinear multiagent systems (MASs) where the information broadcasts over a network are susceptible to one such imperfection, namely, transmission delays. The design methodology employed is such that the sampling instants (at which agents broadcast information) could be both aperiodic and asynchronous in nature. The broadcasts, upon arrival, are ...
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作者：Sawant, Mayur; Polushin, Ilia; Tayebi, Abdelhamid
作者单位：Western University (University of Western Ontario); Western University (University of Western Ontario); Lakehead University
摘要：We develop an autonomous navigation algorithm for a robot operating in 2-D environments containing obstacles, with arbitrary nonconvex shapes, which can be in close proximity with each other, as long as there exists at least one safe path connecting the initial and the target location. An instrumental transformation that modifies (virtually) the nonconvex obstacles, in a nonconservative manner, is introduced to facilitate the design of the obstacle-avoidance strategy. The proposed navigation a...
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作者：Zhang, Zhao; He, Xiao; Zhou, Donghua
作者单位：Peking University; Tsinghua University; Shandong University of Science & Technology
摘要：This article investigates the active fault diagnosis problem for linear parameter-varying systems with bounded disturbances. Constrained zonotopes (CZs) are utilized to model the range of the system disturbances, in which case, the system state and output can also be described by CZs. Different models are employed to describe different fault modes. The basic idea of the proposed method is to design proper auxiliary input and inject it into the system to ensure that the system's output is only ...
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作者：Efimov, Denis; Polyakov, Andrey; Ping, Xubin
作者单位：Inria; Universite de Lille; Centre National de la Recherche Scientifique (CNRS); Xidian University
摘要：The problems of interval estimation and stabilization are studied for a class of generalized Persidskii systems. For this class of models with nonlinearities satisfying the incremental passivity property, the nonnegativity conditions are proposed and a nonlinear interval observer is synthesized. A nonlinear feedback is designed that uses the interval estimates. The conditions of stability of estimation and regulation errors are formulated using linear matrix inequalities. The efficiency of the...
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作者：Liu, Jianzhou; Tang, Fuying; Xu, Yan
作者单位：Xiangtan University; Xiangtan University
摘要：Discrete coupled Riccati matrix equations, which play an important role in the analysis and design of discrete-time Markov jump systems of control theory, have been studied extensively. In Li et al. (2022), an iterative algorithm for positive definite solutions of these matrix equations was presented. This article gives numerical examples to point out that the convergence proof of the iterative algorithm proposed in the above paper cites an incorrect conclusion, resulting in errors in the conv...
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作者：Madeira, Diego de S.; Correia, Wilkley B.
摘要：In this note, the problem of data-driven saturated state feedback design for polynomial nonlinear systems is solved by means of a sum-of-squares (SOS) approach. This new strategy combines recent results in the dissipativity theory and data-driven feedback control using noisy input-state data. SOS optimization is employed in this work for controller design and to deliver an estimate of the closed-loop domain of attraction under saturated feedback. Numerical examples allow the reader to verify t...
