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作者：Pan, Lulu; Shao, Haibin; Mesbahi, Mehran; Xi, Yugeng; Li, Dewei
作者单位：Shanghai Jiao Tong University; University of Washington; University of Washington Seattle
摘要：This article examines the consensus problem on matrix-weighted undirected switching networks. First, we introduce the matrix-weighted integral network for analyzing such networks. Under mild assumptions on the switching pattern of a sequence of networks, conditions under which average consensus can be achieved are then provided. It is shown that for matrix-weighted switching networks, the existence of a positive spanning tree in the associated integral network plays a crucial role in achieving...
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作者：Lhachemi, Hugo; Prieur, Christophe; Shorten, Robert
作者单位：Universite Paris Saclay; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Imperial College London; University College Dublin
摘要：This article is concerned with the in-domain stabilization of a class of block diagonal infinite-dimensional systems in the presence of an uncertain and time-varying delay in the distributed control input. Two actuation schemes are considered. The first one assumes a control input that is fully distributed over the domain. The second one assumes that the control input is finite-dimensional, acting over the domain via a bounded operator. In both cases, the control design strategy consists in a ...
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作者：Fisher, Michael W.; Hiskens, Ian A.
作者单位：University of Michigan System; University of Michigan
摘要：The proofs of the groundbreaking theorems of [1] rely on a lemma, which states that if the unstable manifold of a first hyperbolic closed orbit intersects transversely the stable manifold of a second (possibly the same) hyperbolic closed orbit, then the dimension of the unstable manifold of the first is strictly greater than the dimension of the unstable manifold of the second. However, we provide an example meeting the conditions of the lemma where the dimensions of the unstable manifolds are...
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作者：Tomar, Mahendra Singh; Rungger, Matthias; Zamani, Majid
作者单位：University of Munich; Technical University of Munich; University of Colorado System; University of Colorado Boulder
摘要：We introduce a novel notion of invariance feedback entropy to quantify the state information that is required by any controller that enforces a given subset of the state space to be invariant. We establish a number of elementary properties, e.g., we provide conditions that ensure that the invariance feedback entropy is finite and show for the deterministic case that we recover the well-known notion of entropy for deterministic control systems. We prove the data rate theorem, which shows that t...
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作者：Chi, Ronghu; Hui, Yu; Huang, Biao; Hou, Zhongsheng
作者单位：Qingdao University of Science & Technology; University of Alberta; Qingdao University
摘要：The design and analysis of active disturbance rejection control (ADRC) are considered for a globally Lipschitz nonlinear discrete-time system, which is nonaffine to control inputs. A local dynamic linearization is proposed to transfer the original nonaffined nonlinear system into a nonlinear system affine to control input such that the open problem of selecting a control gain in the feedback control law of ADRC is solved. Furthermore, both a parameter updating law and an adaptive extended stat...
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作者：Sharf, Miel; Jain, Anoop; Zelazo, Daniel
作者单位：Royal Institute of Technology; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Jodhpur; Technion Israel Institute of Technology
摘要：Equilibrium-independent passive-short (EIPS) systems are a class of systems that satisfy a passivity-like dissipation inequality with respect to any forced equilibria with nonpositive passivity indices. This article presents a geometric approach for finding a passivizing transformation for such systems, relying on their steady-state input-output relation and the notion of projective quadratic inequalities (PQIs). We show that PQIs arise naturally from passivity-shortage characteristics of an E...
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作者：Chen, Mo; Herbert, Sylvia L.; Hu, Haimin; Pu, Ye; Fisac, Jaime Fernandez; Bansal, Somil; Han, SooJean; Tomlin, Claire J.
作者单位：Simon Fraser University; University of California System; University of California San Diego; Princeton University; University of Melbourne; University of California System; University of California Berkeley; California Institute of Technology
摘要：Real-time, guaranteed safe trajectory planning is vital for navigation in unknown environments. However, real-time navigation algorithms typically sacrifice robustness for computation speed. Alternatively, provably safe trajectory planning tends to be too computationally intensive for real-time replanning. We propose FaSTrack, Fast and Safe Tracking, a framework that achieves both real-time replanning and guaranteed safety. In this framework, real-time computation is achieved by allowing any t...
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作者：Qin, Yuzhen; Kawano, Yu; Portoles, Oscar; Cao, Ming
作者单位：University of California System; University of California Riverside; Hiroshima University; University of Groningen; University of Groningen
摘要：Partial, instead of complete, synchronization has been widely observed in various networks, including, in particular, brain networks. Motivated by data from human brain functional networks, in this article, we analytically show that partial synchronization can be induced by strong regional connections in coupled subnetworks of Kuramoto oscillators. To quantify the required strength of regional connections, we first obtain a critical value for the algebraic connectivity of the corresponding sub...
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作者：Kawan, Christoph; Mironchenko, Andrii; Swikir, Abdalla; Noroozi, Navid; Zamani, Majid
作者单位：University of Munich; University of Passau; Technical University of Munich; University of Colorado System; University of Colorado Boulder; University of Munich
摘要：This article presents a small-gain theorem for networks composed of a countably infinite number of finite-dimensional subsystems. Assuming that each subsystem is exponentially input-to-state stable, we show that if the gain operator, collecting all the information about the internal Lyapunov gains, has a spectral radius less than one, the overall infinite network is exponentially input-to-state stable. The effectiveness of our result is illustrated through several examples including nonlinear ...
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作者：Lefebvre, Dimitri; Hadjicostis, Christoforos N.
作者单位：Universite Le Havre Normandie; University of Cyprus
摘要：Opacity is a security notion that focuses on determining whether a given system's behavior is kept secret to intruders. Various notions of opacity have received significant attention during the last decade including current state opacity and initial state opacity, which have been studied for deterministic and probabilistic systems in untimed contexts. In timed systems, opacity requirements may vary with time and one could also be interested in knowing the time duration for which opacity requir...
