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作者:Sassano, M.; Astolfi, A.
作者单位:University of Rome Tor Vergata; Imperial College London
摘要:It is shown that strong convexity/concavity of a component of the vector field, as a function of the state variables, induces the same property on the corresponding component of the flow, as a function of the initial condition. Such an inherited property is then instrumental, for instance, for establishing several instability theorems, the proofs of which rely precisely on consequences of convexity/concavity of the flow with respect to the initial condition. Furthermore, the property of convex...
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作者:Wang, Ji; Diagne, Mamadou
作者单位:Xiamen University; University of California System; University of California San Diego
摘要:This article presents a delay-adaptive boundary control scheme for a 2 x 2 coupled linear hyperbolic partial differential equation (PDE)-ordinary differential equation (ODE) cascade system with an unknown and arbitrarily long input delay. To construct a nominal delay-compensated control law, assuming a known input delay, a three-step backstepping design is used. To build the delay-adaptive boundary control law, the nominal control action is fed with the estimate of the unknown delay, which is ...
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作者:Lavaei, Abolfazl; Frazzoli, Emilio
作者单位:Newcastle University - UK; Swiss Federal Institutes of Technology Domain; ETH Zurich
摘要:In this article, we propose a compositional scheme for the safety controller synthesis of stochastic switched networks with dwell-time conditions. The proposed framework is based on a notion of so-called transition subbarrier certificates constructed for each switched subsystem, by employing which one can compositionally synthesize safety controllers for interconnected networks over (in)finite time horizons. In our proposed scheme, we leverage dissipativity-type compositional conditions to com...
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作者:Lin, Hong; Lam, James
作者单位:Shenzhen Polytechnic University; University of Hong Kong
摘要:We study the stability of the optimal estimator (OE) for an unstable system with unobservable measurement loss (UML). The results are twofold. 1) We obtain a necessary and sufficient stability condition: For an unstable UML system, there is a critical value such that the OE is stable with probability 1, if and only if the measurement-arrival rate is greater than this value. This value is identical to the critical value that determines the stability of the OE with observable measurement loss (O...
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作者:Zhao, Kai; Song, Yongduan
作者单位:Chongqing University
摘要:While barrier Lyapunov function-based approach has been successfully used in adaptive control of uncertain systems with output/state constraints, it is nontrivial to use this method to deal with systems with irregular constraints (where the constraints may appear, disappear, or alternate during system operation). It is in fact an open interesting problem to develop a control method capable of coping with the irregular constraints uniformly. In this note, a unified adaptive control strategy is ...
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作者:Buerger, Johannes; Cannon, Mark
作者单位:BMW AG; University of Oxford
摘要:An efficient optimization method is proposed for linear-quadratic optimal control problems with state and control constraints. We describe an active set solver that uses Riccati recursions to solve a sequence of equality-constrained subproblems. The main contribution is a homotopy method based on relaxing inequality constraints. This overcomes known shortcomings of Riccati active set solvers relating to their initialization and their application to problems with time-varying model data. It can...
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作者:Mei, Wenjun; Hendrickx, Julien M.; Chen, Ge; Bullo, Francesco; Dorfler, Florian
作者单位:Peking University; Universite Catholique Louvain; Chinese Academy of Sciences; University of California System; University of California Santa Barbara
摘要:Mechanistic and tractable mathematical models play a key role in understanding how social influence shapes public opinions. Recently, a weighted-median mechanism has been proposed as a new microfoundation of opinion dynamics and validated via experimental data. Numerical studies indicate that this new mechanism recreates some nontrivial real-world features of opinion evolution. In this article, we conduct a thorough analysis of the weighted-median opinion dynamics. We fully characterize the eq...
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作者:Tang, Tianyu; Ding, Xueying; Lu, Jianquan; Liu, Yang
作者单位:Southeast University - China; Zhejiang Normal University; Zhejiang Normal University
摘要:This article studies the controllability of time-varying-delayed Markovian jump Boolean control networks (DMJBCNs). To begin with, a novel augmented approach is proposed to stack the DMJBCNs into expectation form, where the iterative complexity is markedly reduced from O(N tau+1) to O((tau + 1)N). Under this way, the necessary and sufficient criterion for the fixed-time trajectory controllability of DMJBCNs is derived. Then, constructing another augmented representation for DMJBCNs, the criter...
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作者:Qu, Zhihai; Li, Xiuxian; Li, Li; Hong, Yiguang
作者单位:Tongji University; Tongji University
摘要:This article studies distributed optimization problems whose goal is to minimize the sum of cost functions located among agents in a network, where communications are described by a connected and undirected graph. Two novel second-order methods with adapt-then-combine strategy are developed. For the algorithms, explicit convergence rates are established under strongly convex and the Lipschitz gradient assumptions. Finally, numerical examples demonstrate the efficiency of algorithms and are in ...
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作者:Lyu, Ziliang; Xu, Xiangru; Hong, Yiguang
作者单位:Tongji University; University of Wisconsin System; University of Wisconsin Madison
摘要:This article develops a small-gain technique for the safety analysis and verification of interconnected systems with high-relative-degree safety constraints. To this end, a high-relative-degree input-to-state safety (ISSf) approach is proposed to quantify the influence of external inputs on the subsystem safety. With a coordination transformation, the relationship between ISSf barrier functions (ISSf-BFs) and the existing high-relative-degree (or high-order) barrier functions is established to...