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In this paper, the formation tracking problem of multi-agent system via impulsive control approach is investigated, where each agent can be modeled as an identical nonlinear oscillator. The impulsive control approach is firstly applied to the study of formation tracking problem in the multi-agent system. The objective of the formation tracking problem is to design the formation tracking protocol such...
This paper considers the second-order consensus problem of discrete-time multi-agent systems over fixed and undirected network topologies. A distributed consensus protocol utilizing the current and one-step delayed position information is proposed. It is interesting to found that second-order consensus in such a discrete-time multi-agent system cannot be ensured without any one-step delayed position...
In this paper, dynamic role assignment and collision avoidance based on consensus tracking algorithm are investigated for systems with complete communication graph. First, based on the traditional consensus protocol, consensus-based control algorithm with dynamic role assignment is proposed. To make each agent reach the closest formation point, we give an efficient assignment solution by solving an...
In this paper, the consensus problem of a class of high order multi-agent systems is studied. We supposed the multi-agent can only exchange information only accord to a directed communication graph. By using the relative state consensus algorithm, a sufficient condition is provided for consensus achievement. Then, a new consensus protocol which using a state observer is provided. The N observer and...
The paper examines reducibility/irreducibility of Flouqet factorizations and explicates their relationship with controllability in finite-dimensional linear continuous-time periodic (FDLCP) systems. Reducibility/irreducibility of Floquet factorizations reflect numeric aspects of the transition matrix representation in FDLCP systems that can be attributed to matrix logarithm, which remain unnoticed...
The consensus of double-integrator discrete-time multi-agent system is studied based on the second-order neighbors' information in this paper. The comparison between the convergence rate of second-order neighbor protocol and the one of general protocol is analyzed. Considering there exists delay in communication, the consensus condition of double-integrator discrete-time multi-agent system with delay...
In this paper, we study the stability of a one-dimentional Euler-Bernoulli beam coupled with a Kelvin-Voigt damped wave equation, where the wave equation acts as a dynamic boundary feedback controller to exponentially stabilize the Euler-Bernoulli beam. Remarkably, the resolvent of the closed-loop system operator is not compact anymore. By a detailed spectral analysis, we show that the residual spectrum...
In this paper, the consensus problem of second-order multi-agent systems with nonuniform time-delays and dynamically changing topologies is studied. A linear consensus protocol with nonuniform time-delays is developed for multi-agent systems. A sufficient condition in terms of linear matrix inequalities is established to solve the consensus problems under dynamically changing topologies (even when...
Spectra and eigenstates of the adjacency matrix of a complex network provide many important information about its structure and dynamics. By mapping the adjacency matrix of a small-world network to the Hamiltonian of a quantum system, the statistical properties of the spectra and the localization of eigenstates are analyzed. Theoretical analysis and numerical results show that the spectrum corresponding...
By using non-Hermitian random matrix theory, the spectra of adjacency matrices of directed complex networks are analyzed. Both the short-range and long-range correlations in the eigenvalues are numerically calculated for typical directed complex networks and compared with the predictions of Ginibre's Ensemble. The spectral density ρ(λ), the nearest neighbor spacing distribution p(s) and the number...
This paper considers the distributed robust consensus problem of multi-agent systems with Lipschitz nonlinear dynamics and subject to different matching uncertainties. Due to the existence of nonidentical uncertainties, the multi-agent systems discussed in this paper are essentially heterogeneous. For the case where the communication graph is undirected and connected, based on the local state information...
This paper focuses on the problem of cluster synchronization of a class of complex dynamical networks. Based on impulsive control theory and a comparison theorem, generic criteria for cluster synchronization are derived. It is shown that these criteria provide a novel and effective control approach to synchronize a general dynamical network to a cluster synchronization manifold by exposing the relationship...
This paper considers the global convergence of a class of nonlinear dynamical networks, and the subsystems are discrete time pendulum-like systems. Different from most of the existing results, two kinds of interconnections are considered in view of the fact that the subsystems of networks may have more than one kind of interconnection between each other. The Kalman-Yakubovich-Popov (KYP) lemma and...
Fault detection for multi-mode process are becoming a hotspot. By effective mode division and accurate online identification, a multi-mode hybrid data set can be transformed into multiple single-mode data sets, then the traditional PCA-based approach can still be adopt to process monitoring. However, in the treatment of “fast response” multi-mode procedure, the above idea does not seem to apply, which...
This paper studies distributed containment control for second-order multi-agent systems. An impulsive control algorithm without using velocity information is developed to achieve containment control with multiple leaders. Some sufficient and necessary conditions are obtained to achieve the containment control asymptotically. The final states of all followers converge into the convex hull formed by...
In this paper, we investigate the discrete-time antilinear systems with Markovian jumping parameters. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approaches, necessary and sufficient conditions are established for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov...
In this paper we consider H2-regularity of pullback attractors for the reaction-diffusion equation. Firstly, we show that under the suitable conditions, every family of bounded subsets of L2(Ω) which is invariant for the process U, is in fact bounded in H2(Ω). Then, as a consequence, we obtain that the system has a unique continuous periodic solution which attracts any bounded set exponentially.
Due to process disturbances and some uncertainties, the process operating performance will deviate from the optimal operating point along with time, so it is very important to develop strategies for online operating performance assessment on optimality. However, a little work has been published in this research area to our knowledge. In this study, a new online operating optimality assessment method...
In this paper multilinear mean component analysis (MMCA) is introduced as a new algorithm for gait recognition. Compared with traditional PCA and MPCA, the new method MMCA is based on dimensionality reduction by preserving the squared length, and implicitly also the direction of the mean vector of the each mode's original input. The solution is not necessarily corresponding to the top eigenvalues...
In this paper, partial eigenvalue assignment problems for time-delayed systems are considered. A constructive method based on the orthogonality relations of quadratic pencil is provided. It is shown that it is possible to assign partial eigenvalues of a vibrating system while keeping the rest of the eigenvalues invariant in the presence of time delay provided that the original system is partial controllable...
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