-
作者：Moon, Jun
作者单位：Hanyang University
摘要：We consider the state and control path-dependent stochastic optimal control problem for jump-diffusion models, where the dynamics and the objective functional are dependent on (current and past) paths of state and control processes. We prove the dynamic programming principle of the value functional, for which, unlike the existing literature, the Skorohod metric is necessary to maintain the separability of cadlag (state and control) spaces. We introduce the state and control path-dependent inte...
-
作者：Wu, Chengshuai; Pines, Raz; Margaliot, Michael; Slotine, Jean-Jacques
作者单位：Tel Aviv University; Tel Aviv University; Massachusetts Institute of Technology (MIT); Massachusetts Institute of Technology (MIT)
摘要：The k multiplicative and k additive compounds of a matrix play an important role in geometry, multilinear algebra, the asymptotic analysis of nonlinear dynamical systems, and in bounding the Hausdorff dimension of fractal sets. These compounds are defined for the integer values of k. Here, we introduce generalizations called the alpha multiplicative and alpha additive compounds of a square matrix, with alpha real. We study the properties of these new compounds and demonstrate an application in...
-
作者：Swenson, Brian; Murray, Ryan; Poor, H. Vincent; Kar, Soummya
作者单位：Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; North Carolina State University; Princeton University; Carnegie Mellon University
摘要：The article considers distributed gradient flow (DGF) for multiagent nonconvex optimization. DGF is a continuous-time approximation of distributed gradient descent that is often easier to study than its discrete-time counterpart. The article has two main contributions. First, the article considers optimization of nonsmooth, nonconvex objective functions. It is shown that DGF converges to critical points in this setting. The article then considers the problem of avoiding saddle points. It is sh...
-
作者：Tuna, S. Emre
作者单位：Middle East Technical University
摘要：In undirected networks of identical linear oscillators coupled through dissipative and restorative connectors (e.g., pendulums undergoing small vibrations connected via dampers and springs), the relation between asymptotic synchronization and coupling structure is studied. Conditions on the interconnection under which synchronization can be achieved for some selection of coupling strengths are established. How to strengthen those conditions so that synchronization is guaranteed for all admissi...
-
作者：Hu, Zhipei; Ren, Hongru; Deng, Feiqi; Li, Hongyi
作者单位：Shantou University; Shantou University; Guangdong University of Technology; Guangdong University of Technology; South China University of Technology
摘要：In real-world applications, sampled-data systems are often subject to undesirable physical constraints, which results in noisy sampling intervals that fluctuate around an ideal sampling period based on certain probability distribution. In the presence of noisy sampling intervals, this article is concerned with the stabilization problem for a class of sampled-data systems with successive packet dropouts. First, the relationship between two adjacent update times of zero-order hold is established...
-
作者：Chen, Bo; Hu, Guoqiang; Ho, Daniel W. C.; Yu, Li
作者单位：Zhejiang University of Technology; Zhejiang University of Technology; Nanyang Technological University; City University of Hong Kong
摘要：This article is concerned with the distributed estimation and control problem for time-varying large-scale interconnected systems (LISs). A novel decoupling strategy with sequential-structure is developed to deal with the interconnected terms in large-scale systems. Then, by using the idea of bounded recursive optimization, the local estimator gain for each subsystem is designed by solving self-relative convex optimization problem that is constructed based on each subsystem's own information a...
-
作者：Hu, Cheng; He, Haibo; Jiang, Haijun
作者单位：Xinjiang University; University of Rhode Island
摘要：In biology networks, social networks, mobile robots, and many real networks, spatial factors are crucial to the evolution of networks and individual interactions are not always continuous. In this article, a kind of intermittently coupled spatiotemporal networks (ICSNs) is proposed, where the couplings among nodes are intermittent and the coupling strengths are related to both time and space. By constructing piecewise auxiliary functions and developing a direct error method, a distributed inte...
-
作者：Wang, Bohui
作者单位：Xi'an Jiaotong University; Xidian University
摘要：This article proposes a distributed error estimation approach to investigate the quasi-synchronization problem of heterogeneous dynamical networks with static and adaptive coupling laws under a directed communication topology. By introducing a pining control strategy, a novel class of distributed error estimation algorithms is proposed for solving the quasi-synchronization problem of heterogeneous dynamical networks with a static coupling law by exploring the local information among the neighb...
-
作者：Ye, Mengbin; Liu, Ji; Anderson, Brian D. O.; Cao, Ming
作者单位：Curtin University; Curtin University; State University of New York (SUNY) System; Stony Brook University; Australian National University; University of Groningen
摘要：This article focuses on properties of equilibria and their associated regions of attraction for continuous-time nonlinear dynamical systems. The classical Poincare-Hopf theorem is used to derive a general result providing a sufficient condition for the system to have a unique equilibrium. The condition involves the Jacobian of the system at possible equilibria and ensures that the system is in fact locally exponentially stable. We apply this result to the susceptible-infected-susceptible (SIS)...
-
作者：Lai, Aiwen; Lahaye, Sebastien; Komenda, Jan
作者单位：Xiamen University; Universite d'Angers; Czech Academy of Sciences; Institute of Mathematics of the Czech Academy of Sciences
摘要：In this article, we deal with state estimation of timed discrete event systems that are modeled by max-plus automata (MPAs), where only some events are observable. For a given MPA, a formal procedure is first proposed for constructing its observer by extending our previous concept of observer for unambiguous MPAs to polynomially ambiguous MPAs. As an application, we present a necessary and sufficient condition based on the constructed observer to check the critical observability of MPAs. The s...
