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Multiplex networks have been used to describe multilevel system by the way of combining several layers of sub-networks with one layer representing one sub-level system. For this new network framework, research efforts have been paid on the study of its topological and dynamical properties. However, in these studies the network structures are mostly simple or specific. To systemically study multiplex...
This technical note is concerned with the stochastic state feedback H∞ control problem for continuous-time singular systems with state- and disturbance-dependent noise. A stochastic bounded real lemma for this class of systems is proved. Based on this result, the state feedback H∞ controller is designed, which ensures that the system not only is mean square admissible but also satisfies a prescribed...
The study of evolution systems driven by noises including Brownian motion, impulses, Poisson jump in Hilbert spaces has been reported extensively and applied in many fields such as engineering, physics, economics and biology. In this paper, a class of stochastic evolution jump-diffusions driven by impulses are studied. Some sufficient conditions which ensure pth moment exponential stability of mild...
This paper studies the event-triggered control problem of nonlinear discrete-time systems in the presence of external disturbances. In particular, we focus on the case in which whether or not the system state is sampled at step k is determined by the feedback information at step k − 1. This problem is motivated by practical applications, and the proposed solution drastically differs from the existing...
For ARMAX models, a Latest-Estimation Based Hierarchical Recursive Extended Least Squares algorithm is presented in this paper. The basic idea is to make full use of the latest estimation, and combine this with the hierarchical idea. In the proposed algorithm, the estimates of the white noise information vector is updated by using the latest estimation. The convergence performance of the proposed...
This paper is concerned with the security-guaranteed filtering problem for a class of discrete spatial-temporal systems with deception attacks. By reorganizing the state variables, the spatial-temporal system is first transformed into a linear discrete-time system. Then, by using a novel energy-like function technique, a sufficient condition is derived under which the filtering error dynamics is guaranteed...
How to exactly acquire link weights and high complexity of calculating eigenvalues of large-scale matrices are two inevitable problems in applying exact controllability framework to controllability of complex networks. To achieve complete regulation of arbitrary networks of general configurations, we here introduce a new structural controllability analysis approach based on the reachability matrix...
In this paper, we have proposed a sliding mode control law with gain-scheduled and improved boundary layer for leader-follower based formation control. The switching gains of sliding mode controller are required to change with the absolute value of sliding mode function. Specifically, a larger switching gain should be adopted in order to ensure rapid convergence, while a smaller one should be adopted...
The purpose of this paper is to provide a general algebraic and geometric structure for the set of matrices. First, the identity equivalence is introduced to the set. Then two operations STA and STP are introduced, which are the generalizations of conventional matrix addition and matrix product respectively. Using them, the set of matrices is partitioned into several vector spaces. A topological structure...
In the present work, the H∞ output tracking problem for a class of cascade switched nonlinear systems was studied under asynchronous switching. Sufficient conditions of the solvability of the asynchronous output tracking problem are developed using average dwell time method. The controllers are designed to achieve the tracking performances. At last, a simulation example was performed to validate our...
This paper deals with the H∞ control for singular Markovian jump systems(SMJSs) with time-varying delay. Using the Lyapunov functional method and the free-weighting matrix method, a delay-dependent LMI condition is derived, which ensures the considered system to be regular, impulse free and stochastically stable with given H∞ performance index γ. Based on the condition, the explicit expression of...
This paper considers the global finite-time output-feedback stabilization for a class of uncertain nonlinear systems. Essentially different from the existing related literature, the systems in question allow serious parametric unknowns and serious time-variations coupling to the unmeasurable states, and possess remarkably inherent nonlinearities allowing to be low-order and high-order with respect...
In this paper, the state estimation problem is investigated for a class of discrete-time stochastic neural networks with event-triggered transmission (ETT) mechanism. Different from the traditional periodic communication mechanism, the ETT mechanism employed in this paper possesses the advantage of mitigating the network traffic resulting from the unnecessary sending and receiving data between the...
This paper concerns four new oscillatory theorems to the second-order p-Laplacian dynamic equation with delay on time scales equation. The results improve and extend some known theorems.
Network exists because of human, and plays a vital role also because of our actual requirements. Many networks in the real-world cannot keep working properly without control theory or control behavior. Essentially, control is a combinatorial optimization problem. On the one hand, we aim to achieve the control objectives better and faster; on the other hand, we hope to reduce resource consumption as...
This paper gives necessary and sufficient conditions describing single-input affine systems that are orbital feedback equivalent to the affine Goursat normal form (AGNF). This class of systems are not differential flat, but they are orbitally flat. A complete characterization of all the orbitally flat output for single-input affine systems that are orbitally feedback equivalent to AGNF are derived...
In this paper, generation of a class of multidirectional saturated chaotic attractors is investigated based on coupled Chua's circuits. The Caputo derivative definition is employed to describe the fractional-order multi-scroll dynamic systems, and a fractional-order chaotic system with 6×6×6×6×6×6 and 9×9×9×9×9×9 grid scroll chaotic attractors are obtained. Simulation results are presented to show...
This paper addresses the disturbance rejection problem for a class of linear systems in the presence of input delay via DOBC approach. Truncated predictor feedback method is applied to deal with the input delay based on the estimate of state and external disturbance, and further endeavours are made to ensure the extra integral terms of the system state and external disturbance due to the input delay...
This paper investigates the modeling and control of networked evolutionary games based on prisoner's dilemma game with punishment strategy. The networked evolutionary game is expressed as a logical dynamic system and then converted into its algebraic form relying on the matrix expression of logic and the method of semi - tensor product of matrices. Next, based on the algebraic form, the dynamic behavior...
This paper considers the stabilization of a coupled second order ODE-wave system, where the ODE dynamics contain the solution of the wave equation at an intermediate point. We design a stabilizing feedback controller by choosing a suitable target system and backstepping transformation. The backstepping transformation is defined in terms of several kernel functions, for which we establish existence,...
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