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Graph signal processing is a framework that allows us to work with general unstructured discrete data that cannot be handled with classical Discrete signal processing. The underlying graph topology plays a crucial role in determining the definition of Fourier transform on graphs. Graph topology for a given graph signal is not always available and may also not be unique. In this paper we address the...
This paper investigates a consensus problem of the fractional version of second-order system with communication delay under both directed and undirected topologies. By applying the frequency domain method, a sufficient condition is given to ensure the fractional version of second-order consensus facing communication delays. It is proof that fractional version of second-order consensus can be reached...
This paper is devoted to the consensus problem of the second-order multi-agent with leader and time-delays. By applying the frequency-domain method, some sufficient conditions for consensus of systems are given. And the upper bound of time-delays is deduced, which depends on the largest eigenvalue of the sum matrix of Laplacian matrix and the adjacency matrix between leader and followers. Finally,...
Output consensus problem is investigated for the mixed-order multi-agent system, which is composed of two types agents with one and two poles at the origin respectively. According to generalized Nyquist stability criterion, consensus conditions are gained for the mixed-order multi-agent systems to achieve an asymptotic stationary consensus. Besides, output consensus is also analyzed for a simplest...
In this paper, we investigate fast distributed consensus problems of a network of second-order dynamic agents. A consensus protocol which considers the average information of the agents' states in a certain time interval is proposed. Based on the frequently-domain analysis and matrix theory, the sufficient conditions for the second-order multi-agent system converging to a fast stationary consensus...
In this paper, the consensus problem is investigated for the second-order multi-agent systems with sampled information and input delay. Based on the frequency domain analysis, sufficient and necessary consensus conditions are obtained for the sampled-data system converging to the stationary consensus and the dynamical consensus respectively. The consensus condition depends on not only the input delay,...
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