Spiking neural P systems (SN P systems, for short) are a class of distributed parallel computing devices inspired from the way neurons communicate by means of spikes, where each neuron can have several spiking rules a...
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Spiking neural P systems (SN P systems, for short) are a class of distributed parallel computing devices inspired from the way neurons communicate by means of spikes, where each neuron can have several spiking rules and forgetting rules and neurons work in parallel in the sense that each neuron that can fire should fire at each computation step. In this work, we consider SN P systems with the restrictions: 1) systems are simple (resp. almost simple) in the sense that each neuron has only one rule (resp. except for one neuron);2) at each step the neuron(s) with the maximum number of spikes among the neurons that can spike will fire. These restrictions correspond to that the systems are simple or almost simple and a global view of the whole network makes the systems sequential. The computation power of simple SN P systems and almost simple SN P systems working in the sequential mode induced by maximum spike number is investigated. Specifically, we prove that such systems are Turing universal as both number generating and accepting devices. The results improve the corresponding ones in Theor. Comput. Sci., 410 (2009), 2982-2991.
This paper investigates the problem of the existence and global exponential stability of the periodic solution of memristor-based delayed network. Based on the knowledge of memristor and recurrent neural network, the ...
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This paper investigates the problem of the existence and global exponential stability of the periodic solution of memristor-based delayed network. Based on the knowledge of memristor and recurrent neural network, the model of the memristor-based recurrent networks is established. Several sufficient conditions are obtained, which ensure the existence of periodic solutions and global exponential stability of the memristor-based delayed recurrent networks. These results ensure global exponential stability of memristor-based network in the sense of Filippov solutions. And, it is convenient to estimate the exponential convergence rates of this network by the results. An illustrative example is given to show the effectiveness of the theoretical results.
This paper selects three frequently used power grid models, including a purely topological model (PTM), a betweennness based model (BBM), and a direct current power flow model (DCPFM), to describe three different dyna...
This paper selects three frequently used power grid models, including a purely topological model (PTM), a betweennness based model (BBM), and a direct current power flow model (DCPFM), to describe three different dynamical processes on a power grid under both single and multiple component failures. Each of the dynamical processes is then characterized by both a topology-based and a flow-based vulnerability metrics to compare the three models with each other from the vulnerability perspective. Taking as an example, the IEEE 300 power grid with line capacity set proportional to a tolerance parameter tp, the results show non-linear phenomenon: under single node failures, there exists a critical value of tp = 1.36, above which the three models all produce identical topology-based vulnerability results and more than 85% nodes have identical flow-based vulnerability from any two models;under multiple node failures that each node fails with an identical failure probability fp, there exists a critical fp = 0.56, above which the three models produce almost identical topology-based vulnerability results at any tp >= 1, but producing identical flow-based vulnerability results only occurs at fp = 1. In addition, the topology-based vulnerability results can provide a good approximation for the flow-based vulnerability under large fp, and the priority of PTM and BBM to better approach the DCPFM for vulnerability analysis mainly depends on the value of fp. Similar results are also found for other failure types, other system operation parameters, and other power grids. (C) 2013 AIP Publishing LLC.
This paper investigates the observer-based H-infinity control problem for a class of discrete-time mixed delay systems with random communication packet losses and multiplicative noises, where the mixed delays comprise...
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This paper investigates the observer-based H-infinity control problem for a class of discrete-time mixed delay systems with random communication packet losses and multiplicative noises, where the mixed delays comprise both discrete and distributed time-varying delays, the random packet losses are described by a Bernoulli distributed white sequence that obeys a conditional probability distribution, and the multiplicative disturbances are in the form of a scalar Gaussian white noise with unit variance. In the presence of mixed delays, random packet losses and multiplicative noises, sufficient conditions for the existence of an observer-based feedback controller are derived, such that the closed-loop control system is asymptotically mean-square stable and preserves a guaranteed H-infinity performance. Then a linear matrix inequality (LMI) approach for designing such an observer-based H-infinity controller is presented. Finally, a numerical example is provided to illustrate the effectiveness of the developed theoretical results. (C) 2012 Elsevier Inc. All rights reserved.
This paper investigates the problem of robust passivity and passification for a class of singularly perturbed nonlinear systems (SPNS) with time-varying delays and polytopic uncertainties via neural networks. By const...
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This paper investigates the problem of robust passivity and passification for a class of singularly perturbed nonlinear systems (SPNS) with time-varying delays and polytopic uncertainties via neural networks. By constructing a proper functional and the linear matrix inequalities (LMIs) technique, some novel sufficient conditions are derived to make SPNS passive. The allowable perturbation bound xi* can be determined via certain algebra inequalities, and the proposed controller based on neural network will make SPNS with polytopic uncertainties passive for all xi is an element of (0, xi*). Finally, a numerical example is given to illustrate the theoretical results.
This paper investigates the observer-based H. control problem for a class of discrete-time mixed delay systems with random communication packet losses and stochastic nonlinearities. The mixed delays comprise both disc...
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This paper investigates the observer-based H. control problem for a class of discrete-time mixed delay systems with random communication packet losses and stochastic nonlinearities. The mixed delays comprise both discrete time-varying and distributed delays, the random data losses are described by a Bernoulli distributed white sequence that obeys a conditional probability distribution, and the stochastic nonlinearities in the form of statistical means cover several well-studied nonlinear functions. In the presence of mixed delays, random packet losses and stochastic nonlinearities, sufficient conditions for the existence of an observer-based feedback controller are derived, such that the closed-loop control system is asymptotically mean-square stable and preserves a guaranteed H-infinity performance. (C) 2012 ISA. Published by Elsevier Ltd. All rights reserved.
This paper considers the problem that the virtual mobile operator (VMO) buys services from the wireless service provider (WSP) to serve its users. When faced with poor indoor coverage or at the edge of marcocell, the ...
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This paper is concerned with the second-order consensus problem of multi-agent systems with a virtual leader, where all agents and the virtual leader share the same intrinsic dynamics with a locally Lipschitz conditio...
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This paper is concerned with the second-order consensus problem of multi-agent systems with a virtual leader, where all agents and the virtual leader share the same intrinsic dynamics with a locally Lipschitz condition. It is assumed that only a small fraction of agents in the group are informed about the position and velocity of the virtual leader. A connectivity-preserving adaptive controller is proposed to ensure the consensus of multi-agent systems, wherein no information about the nonlinear dynamics is needed. Moreover, it is proved that the consensus can be reached globally with the proposed control strategy if the degree of the nonlinear dynamics is smaller than some analytical value. Numerical simulations are further provided to illustrate the theoretical results. Copyright (c) 2012 John Wiley & Sons, Ltd.
In this paper, the problem of robust sampled-data H-infinity output tracking control is investigated for a class of nonlinear networked systems with probabilistic sampling, multiplicative noises and time-varying norm-...
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In this paper, the problem of robust sampled-data H-infinity output tracking control is investigated for a class of nonlinear networked systems with probabilistic sampling, multiplicative noises and time-varying norm-bounded uncertainties. For the sake of technical simplicity, only two different sampling periods are considered, their occurrence probabilities are given constants and satisfy Bernoulli distribution, and can be extended to the case with multiple stochastic sampling periods. By the way of an input delay, the probabilistic system is transformed into a stochastic continuous time-delay system. A new linear matrix inequality (LMI)-based procedure is proposed for designing state-feedback controllers, which would guarantee that the closed-loop networked system with stochastic sampling tracks the output of a given reference model well in the sense of H-infinity. Conservatism is reduced by taking the probability into account. Both network-induced delays and packet dropouts have been considered. Finally, an illustrative example is given to show the usefulness and effectiveness of the proposed H-infinity output tracking design. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
A memrsitor is a two-terminal electronic device whose conductance can be precisely modulated by charge or flux through it. In this paper, we present a class of memristor-based neural circuits comprising leaky integrat...
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A memrsitor is a two-terminal electronic device whose conductance can be precisely modulated by charge or flux through it. In this paper, we present a class of memristor-based neural circuits comprising leaky integrate-and-fire (I & F) neurons and memristor-based learning synapses. Employing these neuron circuits and corresponding SPICE models, the properties of a two neurons network are shown to be similar to biology. During correlated spiking of the pre- and post-synaptic neurons, the strength of the synaptic connection increases. Conversely, it is diminished when the spiking is uncorrelated. This synaptic plasticity and associative learning is essential for performing useful computation and adaptation in large scale artificial neural networks. Finally, future circuit design and consideration are discussed with the memristor-based neural networks.
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