Lagrange exponential stability of quaternion-valued memristive neural networks with time delays

This paper investigates the Lagrange global exponential stability of the quaternion-valued memristive neural networks (QVMNNs). Two kinds of activation functions based on different assumptions are considered. Then, based on the Lyapunov function approach, decomposition method, and some inequality skills, two novel sufficient conditions for lagrange stability of QVMNNs are provided corresponding to different types of activation functions. Lastly, simulation examples are provided to demonstrate the correctness of our theoretical results.     

Delay-dependent stability of Runge-Kutta methods for neutral systems with distributed delays

The aim of this paper is to analyze the asymptotic stability of Runge-Kutta (RK) methods for neutral systems with distributed delays. With an adaptation of the argument principle, some sufficient criteria for weak delay-dependent stability of numerical solutions are proposed. Several numerical examples are performed to confirm the effectiveness of our theoretical results.     

Stability results for stochastic delayed recurrent neural networks with discrete and distributed delays

We present new conditions for asymptotic stability and exponential stability of a class of stochastic recurrent neural networks with discrete and distributed time varying delays. Our approach is based on the method using fixed point theory, which do not resort to any Liapunov function or Liapunov functional. Our results neither require the boundedness, monotonicity and differentiability of the activation functions nor differentiability of the time varying delays. In particular, a class of neural networks without stochastic perturbations is also considered. Examples are given to illustrate our main results.     

Fuzzy uncertainty modeling for grid based localization of mobile robots

This paper presents a localization method using fuzzy logic to represent the different facets of uncertainty present in sensor data. Our method follows the typical predict-update cycle of recursive state estimators to estimate the robot’s location. The method is implemented on a fuzzy position grid, and several simplifications are introduced to reduce computational complexity. The main advantages of this fuzzy logic method compared to most current ones are: (i) only an approximate sensor model is required, (ii) several facets of location uncertainty can be represented, and (iii) ambiguities in the sensor information are directly represented, thus avoiding having to solve the data association problem separately. Our method has been validated experimentally on two different platforms, a legged robot equipped with vision and a wheeled robot equipped with range sensors. The experiments show that our method can solve both the tracking and the global localization problem. They also show that this method can successfully cope with ambiguous observations, when several features may be associated to the same observation, and with robot kidnapping situations. Additional experiments are presented that compare our approach with a state-of-the-art probabilistic method.     

模糊有限状态机的一些性质

讨论模糊有限状态机的一些代数性质,得到模糊有限状态机在同态作用下子系统(强子系统)的前像仍是子系统(强子系统),证明若两个模糊有限状态机之间存在满足一定条件的同态映射时,前一个模糊有限状态机是强连通的(循环的),则后一个模糊有限状态机也是强连通的(循环的),且若这个同态是强满同态,则其中一个模糊有限状态机是完全的当且仅当另一个模糊有限状态机是完全的。对模糊有限状态机的积与原来的模糊有限状态机的完全性、强连通性、循环性、交换性等关系也进行讨论,得到一些结果。     

基于LMI方法的多时滞随机神经网络的指数稳定性

研究了一类具有多个时滞的随机神经网络的均方指数稳定性问题,应用Lyapunov-Krasovskii泛函稳定理论和线性矩阵不等式(LMI)方法,建立了该系统解的指数稳定判别准则,最后通过数值举例阐述了结果的有效性.     

A multi-ary number communication system based on hyperchaotic system of 6th-order cellular neural network

This paper proposes the hyperchaotic system of 6th-order cellular neural network (CNN), realizes its synchronization based on state observer. In addition, a multi-ary number communication system based on this hyperchaotic system is given in this paper. This communication system has the features of large capacity of signals transmission and high security.     

具有年龄结构和约束的群落系统的最优收获

研究一类有年龄结构和相互作用的两种群构成的群落系统的最优收获问题,要求控制过程结束时的种群状态充分接近预先指定的年龄分布.证明了最优控制的存在性,运用Dubovitskii-Milyutin理论导出了最优性条件.这种处理方法为研究连续年龄分布下种群收获问题提供了统一框架.     

产生2元de Bruijn序列的一个新算法

de Bruijn序列是一类最长的非线性伪随机序列。本文给出了2元de Bruijn序列的一种新的生成算法,该算法能产生2~(δ·N(n,s))个n级de Bruijn序列,其中,0≤s≤2 (n-7)/2;当2~(l-1)相似文献   

Experimental investigation of positron self-trapping near the vapour-liquid critical point of hellium-4

Positron self-trapping in helium near the vapor-liquid critical point is investigated using the positron annihilation lifetime technique. A 13% decrease in the slowing-down time for positrons to reach the self-trapped state is observed at the critical temperature 5.190 K relative to the slowing-down time at 5.200 K.