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作者：Zhu, Song; Zhang, Jun; Wen, Shiping; Lai, Jingang; Mu, Chaoxu
作者单位：China University of Mining & Technology; University of Technology Sydney; Huazhong University of Science & Technology; Tianjin University
摘要：This note focuses on the dissipativity and stability of highly nonlinear hybrid stochastic differential delay equations (HSDDEs). First, based on the results of previous research, a series of new time-varying Halanay-type inequalities is established, which overcomes the dependence of drift and diffusion terms on linear growth conditions in stochastic systems and expands the application of Halanay inequalities in highly nonlinear stochastic systems. Then, the dissipativity and stability conditi...
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作者：Li, Weijian; Pavel, Lacra
作者单位：University of Toronto
摘要：We consider seeking generalized Nash equilibria (GNE) for noncooperative games with coupled nonlinear constraints over networks. We first revisit a well-known gradient-play dynamics from a passivity-based perspective and address that the strict monotonicity of the pseudogradient is a critical assumption to ensure the exact convergence of the dynamics. Then, we propose two novel passivity-based gradient-play dynamics by introducing parallel feedforward compensators (PFCs) and output feedback co...
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作者：Qi, Jie; Hu, Jiaqi; Zhang, Jing; Krstic, Miroslav
作者单位：Shanghai Maritime University; University of California System; University of California San Diego
摘要：A transport PDE with a spatial integral and recirculation with constant delay has been a benchmark for neural operator (NO) approximations of PDE backstepping controllers. Introducing a spatially varying delay into the model gives rise to a gain operator defined through integral equations which the operator's input-the varying delay function-enters in previously unencountered manners, including in the limits of integration and as the inverse of the delayED time function. This, in turn, introdu...
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作者：Sheng, Zhaoming; Ma, Qian
作者单位：Nanjing University of Science & Technology
摘要：This article investigates the distributed Nash equilibrium seeking problem for the players with unknown nonlinearities and time-varying measurement delays, where the small delays and the large delays are allowed to occur in an alternating manner. A new predictor independent of the unknown nonlinearities is designed to overcome the difficulties brought by the time-varying measurement delays. Then, the distributed estimator and the auxiliary variable are developed for each player to estimate oth...
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作者：Abdelgalil, Mahmoud; Georgiou, Tryphon T.
作者单位：University of California System; University of California San Diego; University of California System; University of California Irvine
摘要：The theory of Monge-Kantorovich optimal mass transport has in recent years spurred a fast developing phase of research in stochastic control, control of ensemble systems, thermodynamics, data science, and several other fields in engineering and science. We herein introduce a new type of transportation problems. The salient feature of these problems is that particles/agents in the ensemble are labeled and their relative position along their journey is of interest. Of particular importance in ou...
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作者：Ofir, Ron; Bullo, Francesco; Margaliot, Michael
作者单位：Tel Aviv University; University of California System; University of California Santa Barbara
摘要：We derive a new sufficient condition for 2-contraction of a feedback interconnection of two nonlinear dynamical systems. Our condition is based on, first, deriving new formulas for the 2-multiplicative [2-additive] compound of block matrices using block Kronecker products [sums], second, a hierarchical approach for proving standard contraction, and third, a network small-gain theorem for Metzler matrices. We demonstrate our results by deriving a simple sufficient condition for 2-contraction in...
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作者：Guaracy, Fernando H. D.; Ferreira, Luis H. C.
作者单位：Universidade Federal de Itajuba
摘要：This article presents an analysis of mean-square stability and robustness margins for networked systems. We consider an architecture in which the controller-to-actuator channel is subject to packet losses, and a zero-input strategy is used to deal with the losses. For this situation, we obtain guaranteed mean-square gain and phase margins based on the H-infinity norm of sensitivity and complementary sensitivity functions. We also analyze guaranteed mean-square S-based and T-based disk margins,...
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作者：Simpson-Porco, John W.; Astolfi, Daniele; Scarciotti, Giordano
作者单位：University of Toronto; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Engineering & Systems Sciences (INSIS); Universite Lyon 1; Imperial College London
摘要：Certain linear matrix operators arise naturally in systems analysis and design problems involving cascade interconnections of linear time-invariant systems, including problems of stabilization, estimation, and model order reduction. We conduct here a comprehensive study of these operators and their relevant system-theoretic properties. The general theory is leveraged to delineate both known and new design methodologies for control and observation of cascades, and to characterize structural pro...
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作者：Chen, Guang-Yong; Su, Xiang-Xiang; Gan, Min; Xue, Peng; Liao, Yi; Chen, C. L. Philip
作者单位：Fuzhou University; Qingdao University; South China University of Technology
摘要：Nonlinear regression models are essential in various fields, such as system identification, data analysis, and signal processing. Despite their importance, the efficiency of robust parameter estimation is hindered by inherent nonlinearity and nonsmoothness. This article presents an efficient and robust parameter estimation algorithm for nonlinear regression problems by utilizing the smooth Huber loss instead of the L-1 loss. We begin by analyzing the structural characteristics of nonlinear reg...
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作者：Li, Bo; Wu, Tong; Cai, Bo; Zhang, Lixian; Chen, Hong
作者单位：Harbin Institute of Technology; Tongji University
摘要：This article is concerned with the design of online data-driven model predictive control (MPC) for switched linear systems with online-generated subsystems and unknown switching signals. The online input-state data are used to detect switching instants and update the MPC law directly to match the new subsystem bypassing identifying its model. Once a switching is detected, a fast-to-slow excitation scheme will be executed until a suitable MPC law is attainable. Specifically, the fast-sampling e...
