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作者：Tanaka, Takashi; Zinage, Vrushabh; Ugrinovskii, Valery; Skoglund, Mikael
作者单位：University of Texas System; University of Texas Austin; University of New South Wales Sydney; Royal Institute of Technology
摘要：We consider the problem of estimating a continuous-time Gauss-Markov source process observed through a vector Gaussian channel with an adjustable channel gain matrix. Specifically, for various (generally time-varying) choices channel gain matrices, we study the tradeoff relationship between 1) the mean-square estimation error attainable by the classical Kalman-Bucy filter, and 2) the mutual information between the source process and its Kalman-Bucy estimate. We then formulate a novel optimal c...
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作者：Wu, Dongjun; Yi, Bowen; Rantzer, Anders
作者单位：Lund University; Universite de Montreal; Polytechnique Montreal
摘要：This article examines the local exponential stability (LES) of trajectories for nonlinear systems on Riemannian manifolds. We present necessary and sufficient conditions for LES of a trajectory on a Riemannian manifold by analyzing the complete lift of the system along the given trajectory. These conditions are coordinate-free, which reveal fundamental relationships between exponential stability and incremental stability in a local sense. We then apply these results to design tracking controll...
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作者：Dalin, Omri; Ovseevich, Alexander; Margaliot, Michael
作者单位：Tel Aviv University
摘要：We consider a continuous-time linear time-invariant dynamical system that admits an invariant cone. For the case of a self-dual and homogeneous cone we show that if the system is asymptotically stable then it admits a quadratic Lyapunov function with a special structure. The complexity of this Lyapunov function, in terms of the number of parameters defining it, scales linearly with the dimension of the dynamical system. In the particular case when the cone is the nonnegative orthant this reduc...
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作者：Ossareh, Hamid R.; Kolmanovsky, Ilya
作者单位：University of Vermont; University of Michigan System; University of Michigan
摘要：Given a dynamical system with constrained outputs, the maximal admissible set (MAS) is defined as the set of all initial conditions such that the output constraints are satisfied for all time. It has been previously shown that for discrete-time, linear, time-invariant, stable, observable systems with polytopic constraints, this set is a polytope described by a finite number of inequalities (i.e., has finite complexity). However, it is not possible to know the number of inequalities a priori fr...
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作者：Wang, Bohui
作者单位：Xi'an Jiaotong University
摘要：In this article, the challenging problem of distributed adaptive observer design for synchronization and formation control of heterogeneous nonlinear cyber-physical-vehicle systems is addressed. Since the heterogeneous systems contain nonidentical nonlinear dynamics and the leader has unknown dynamics composed of an unknown input bound, the error dynamics of the equilibrium point for the heterogeneous nonmonotonic nonlinear systems will be affected, which has not previously been recognized in ...
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作者：Wang, Jimin; Ke, Jieming; Zhang, Ji-Feng
作者单位：University of Science & Technology Beijing; 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 investigates the differentially private bipartite consensus problem over signed networks. To solve this problem, a new algorithm is proposed by adding noises with time-varying variances to the cooperative-competitive interactive information. In order to achieve the privacy protection, the variances of the added noises are allowed to increase, which are substantially different from the existing works. In addition, the variances of the added noises can be either decaying or constant...
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作者：Huang, Jie
作者单位：Chinese University of Hong Kong
摘要：In this article, we study the problem of the distributed Nash equilibrium seeking of $N$-player games over jointly strongly connected switching networks. The action of each player is governed by a class of uncertain nonlinear systems. Our approach integrates the consensus algorithm, the distributed estimator over jointly strongly connected switching networks, and some adaptive control techniques. Furthermore, we also consider the disturbance rejection problem for bounded disturbances with unkn...
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作者：Korotina, Marina; Aranovskiy, Stanislav; Ushirobira, Rosane; Efimov, Denis; Wang, Jian
作者单位：ITMO University; Universite de Lille; Inria; Centre National de la Recherche Scientifique (CNRS); Hangzhou Dianzi University
摘要：A simple fixed-time converging estimation algorithm is presented for a linear regression using the dynamic regressor extension and mixing method within a discrete-time setting, with a persistently excited regressor and bounded measurement noises. The solution is based on Kreisselmeier's filters, and it is computationally simpler than the existing analogs.
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作者：Sato, Kazuhiro; Terasaki, Shun
作者单位：University of Tokyo
摘要：To appropriately select control nodes in a large-scale network system, we propose two control centralities called volumetric and average energy controllability scores. The scores are the unique solutions to convex optimization problems formulated using the controllability Gramian. The uniqueness is proven for stable cases and for unstable cases that include multiagent systems. We show that the scores can be efficiently calculated by using a proposed algorithm based on the projected gradient me...
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作者：Shi, Kanghong; Petersen, Ian R.; Vladimirov, Igor G.
作者单位：Australian National University
摘要：In this article, we present necessary and sufficient conditions under which a linear time-invariant (LTI) system is state feedback equivalent to a negative imaginary (NI) system. More precisely, we show that a minimal LTI strictly proper system can be rendered NI using full state feedback, if and only if it can be output transformed into a system, which has relative degree less than or equal to two and is weakly minimum phase. We also considered the problems of state feedback equivalence to ou...
