-
作者:Jadbabaie, Ali; Makur, Anuran; Mossel, Elchanan; Salhab, Rabih
作者单位:Massachusetts Institute of Technology (MIT); Purdue University System; Purdue University; Massachusetts Institute of Technology (MIT); Amazon.com
摘要:We introduce a new opinion dynamics model where a group of agents holds two kinds of opinions: inherent and declared. Each agent's inherent opinion is fixed and unobservable by the other agents. At each time step, agents broadcast their declared opinions on a social network, which are governed by the agents' inherent opinions and social pressure. In particular, we assume that agents may declare opinions that are not aligned with their inherent opinions to conform with their neighbors. This rai...
-
作者:Kousik, Shreyas; Dai, Adam; Gao, Grace Xingxin
作者单位:Stanford University; Stanford University
摘要:Ellipsoids are a common representation for reachability analysis, because they can be transformed efficiently under affine maps, and they allow conservative approximation of Minkowski sums, which let one incorporate uncertainty and linearization error in a dynamical system by expanding the size of the reachable set. Zonotopes, a type of symmetric, convex polytope, are similarly frequently used, because they allow efficient numerical implementations of affine maps and exact Minkowski sums. Both...
-
作者:Liu, Zhaobo; Li, Chanying
作者单位:Shenzhen University; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
摘要:This article focuses on the stabilizability problem for a basic class of discrete-time nonlinear systems with multiple unknown parameters. We claim that such a system is stabilizable if its nonlinear growth rate is dominated by a polynomial rule. This rule cannot be relaxed in general since it becomes a necessary and sufficient condition when the system has a polynomial form (Li and Lam, 2013). We further prove that the concerned stabilizable system is possible to grow exponentially fast. Mean...
-
作者:Franca, Guilherme; Robinson, Daniel P.; Vidal, Rene
作者单位:University of California System; University of California Berkeley; Lehigh University; Johns Hopkins University
摘要:Recently, there has been great interest in connections between continuous-time dynamical systems and optimization methods, notably in the context of accelerated methods for smooth and unconstrained problems. In this article, we extend this perspective to nonsmooth and constrained problems by obtaining differential inclusions associated with novel accelerated variants of the alternating direction method of multipliers (ADMM). Through a Lyapunov analysis, we derive rates of convergence for these...
-
作者:Yi, Xinlei; Li, Xiuxian; Yang, Tao; Xie, Lihua; Chai, Tianyou; Johansson, Karl Henrik
作者单位:Royal Institute of Technology; Tongji University; Tongji University; Northeastern University - China; Nanyang Technological University
摘要:This article considers the distributed online convex optimization problem with time-varying constraints over a network of agents. This is a sequential decision making problem with two sequences of arbitrarily varying convex loss and constraint functions. At each round, each agent selects a decision from the decision set, and then only a portion of the loss function and a coordinate block of the constraint function at this round are privately revealed to this agent. The goal of the network is t...
-
作者:Zegers, Federico M. M.; Sun, Runhan; Chowdhary, Girish; Dixon, Warren E. E.
作者单位:State University System of Florida; University of Florida; University of Illinois System; University of Illinois Urbana-Champaign
摘要:This work explores the distributed state estimation problem for an uncertain, nonlinear, and continuous-time system. Given a sensor network, each agent is assigned a deep neural network (DNN) that is used to approximate the system's dynamics. Each agent updates the weights of their DNN through a multiple timescale approach, i.e., the outer layer weights are updated online with a Lyapunov-based gradient descent update law, and the inner layer weights are updated concurrently using a supervised ...
-
作者:Lei, Yan; Wang, Yan-Wu; Morarescu, Irinel-Constantin; Postoyan, Romain
作者单位:Huazhong University of Science & Technology; Huazhong University of Science & Technology; Huazhong University of Science & Technology; Centre National de la Recherche Scientifique (CNRS); Universite de Lorraine
摘要:This article investigates the fixed-time stabilization of uncertain linear time-invariant systems exhibiting two time scales using a state-feedback event-triggered controller. We proceed by emulation and assume that we know a controller that solves the problem in the absence of sampling. We then take sampling into account and present an event-triggered strategy, which consists of two independent sampling mechanisms, associated with the slow and the fast subsystems, respectively. In this settin...
-
作者:Thangeda, Pranay; Ornik, Melkior; Topcu, Ufuk
作者单位:University of Illinois System; University of Illinois Urbana-Champaign; University of Illinois System; University of Illinois Urbana-Champaign; University of Texas System; University of Texas Austin; University of Texas System; University of Texas Austin
摘要:The applicability of model-based online reinforcement learning algorithms is often limited by the amount of exploration required for learning the environment model to the desired level of accuracy. A promising approach to addressing this issue is to exploit side information, available either a priori or during the agent's mission, for learning the unknown dynamics. Side information in our context refers to information in the form of bounds on the differences between transition probabilities at...
-
作者:Fan, Chenchen; Lam, James; Xie, Xiaochen; Li, Panshuo
作者单位:University of Hong Kong; The University of Hong Kong Shenzhen Institute of Research & Innovation; Harbin Institute of Technology; Guangdong University of Technology
摘要:This article is dedicated to the stability and stabilization of almost periodic piecewise linear systems (APPLSs) with the uncertain dwell time of subsystems. Taking into account the uncertainty in dwell time for the first time, a novel mixed-mode time-varying Lyapunov function is constructed. A sufficient condition is proposed to guarantee the exponential stability of the system, where the switching instants over each period are unknown and inaccessible except their bounds. Moreover, a period...
-
作者:Jiroveanu, George; Boel, Rene K. K.
作者单位:Ghent University
摘要:In this technical article we consider a distributed analysis of a plant given by local petri net models (components) that interact via shared transitions. For each component, there is a local agent that performs local calculations and exchanges information with its neighbours for monitoring the plant. We relax the standard requirement that the interaction graph between components is a tree and, for the general case, we investigate under which conditions the local consistency of the local estim...