2,312 publications from this institution
In this paper, the problem of robust adaptive control for synchronization of coupled continuous-time chaotic systems, probably subject to disturbances, is discussed. A general model is studied via different approaches using either state-feedback or output-feedback controls. Adaptive controllers are designed, in which a sliding mode structure is employed to increase the robustness of the closed-loop systems. When only system output but not the system state is measurable for synchronization, the adaptive controllers are designed by incorporating with a filter and using the so-called σ -modification technique. Several numerical examples are included to demonstrate the effectiveness of the proposed chaos synchronization methods.
No abstract is provided for this article.
In this paper, a class of new models of networked linear impulsive control systems are formulated and their stability are studied. The data dropouts rate over TV steps (DRNS) is defined and the impact of data dropouts on the system stability is analyzed. Moreover, the maximal allowable DRNS is computed, which provides a guideline for the system stability in the sense that if the actual DRNS is smaller than this maximal value then the system is asymptotically stable. To handle the network-induced delays, a propagation unit based on the system model is introduced to the system. A necessary and sufficient condition on the asymptotical stability of the networked system with the propagation unit is finally derived.
The self-unified and conventional feedback control strategy developed by the present author and his colleagues for the control of chaotic dynamical systems is extended from the Chua's circuit to its global unfolding, driving the circuit dynamics from chaotic attractors to any desirable trajectories such as unstable limit cycles. A simple and realistic sufficient condition for such controllability of the global unfolding is derived. A similar sufficient condition for the controllability of the whole family of nonlinear dynamical systems that are topologically equivalent to the Chua global unfolding is also established.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
No abstract is provided for this article.
Summary This paper is concerned with the realization problem for a class of high‐pass as well as low‐pass transfer functions as a two‐port RC ladder network with a specified gain, which requires that the actual gain of the realization configuration is equal to the gain of the given transfer function. From a cascade realization approach, it is shown that any transfer function belonging to the class under investigation can be realized as a two‐port RC ladder network with any specified gain in a continuous interval. Finally, a numerical example is presented to illustrate the result. Copyright © 2017 John Wiley & Sons, Ltd.
Many real-world systems are connected together, in natural and man-made networks. A complex-valued laser network can simulate the working mechanism of human brain. However, amplitude control of a complex-valued laser network is seldom studied. In this paper, a ring network of complex-valued Lorenz laser systems is investigated. The ring network exhibits complex dynamics including hyper-chaos, quasi-periodic orbits, and coexisting hyper-chaos. Three kinds of single-parameter oriented amplitude controls are realized with varying or unvarying Lyapunov exponents in the ring network. Meanwhile, a simple knob can realize the amplitude rescaling of hyper-chaotic signals, which reduces the cost of circuit implementation. Moreover, a criterion of chaotic complete synchronization among all the nodes is established for a network with strong coupling. For relatively weak coupling, quasi-periodic complete synchronization is found, and the performance of chaotic synchronization is studied in terms of the cross-correlation coefficient. It is moreover revealed that the improvement and trend of synchronization performance are robust to the parity of the number of nodes for the same-scale laser networks.
No abstract is provided for this article.
Bifurcation control deals with modification of bifurcation characteristics of a parameterized nonlinear system by a designed control input. Typical bifurcation control objectives include delaying the onset of an inherent bifurcation, stabilizing a bifurcated solution or branch, changing the parameter value of an existing bifurcation point, modifying the shape or type of a bifurcation chain, introducing a new bifurcation at a preferable parameter value, monitoring the multiplicity, amplitude, and/or frequency of some limit cycles emerging from bifurcation, optimizing the system performance near a bifurcation point, or a combination of some of these objectives. This article offers an overview of this emerging, challenging, stimulating, and yet promising field of research, putting the main subject of bifurcation control into perspective.
Distribution of the Lyapunov exponent of the chaotic skew tent map is studied. Complete expressions of the mean and the variance as well as the asymptotic distributions of the Lyapunov exponent are obtained for both noisy and noiseless cases of the map.
No abstract is provided for this article.
No abstract is provided for this article.
Many large-scale complex networks exhibit a scale-free vertex-degree distribution in a power-law form. To better understand the mechanism of power-law formation in real-world networks, we explore and analyze the underlying mechanism based on the vertex-degree sequences of such networks. We show that for a scale-free network of size N , if its vertex-degree sequence is k 1 < k 2 < ⋯ < k l , and if its power exponent satisfies γ > 1 , then the length l of the vertex-degree sequence is of order log N . We verify this conclusion by a co-authorship network and some other real networks in various areas.
No abstract is provided for this article.
