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This paper studies the stability of hybrid event systems (HES). By the partition of time set, we formulate the HES model which includes several special cases reported in the literature. Two types of stability notions (the first and the second stability) are proposed to reflect the effect on stability from hybrid events. A new stability analysis method called hybrid-event-time Lyapunov function (HTLF)...
A synthesis method for the complex-valued Hopfield network functioned as an associate memory is introduced. Our aim is to guarantee the stored complex-valued patterns are asymptotically stable equilibrium points of the network in the given attractive domain. To this aim we firstly utilize equilibrium equations and Pseudoinverse calculation to obtain the relationship between time constant and connection...
In this paper we consider a class of complex-valued Hopfield neural network which is a complex value extension of the real-valued Hopfield type neural network. To apply it to complex-valued associative memory (i.e. to store each desired memory as equilibrium of the network) we design a synthesis method. Neither the orthogonal relations between the set of memory patterns nor the symmetric assumption...
This paper discusses the synthesis problem for a class of discrete time complex-valued Hopfield neural network. To be an associative memory, each memory pattern of the network should be stable and attractive. For this reason, this paper firstly analysis the stability of network, where a generalized Hamming distance defined in complex-valued domain is used to be Lyapunov function. Thus a stable criterion...
This paper deals with the problem of robust stability for fuzzy bi-directional associative memory (BAM) neural networks with time-varying interval delays. Here the delays are assumed be in given ranges. By constructing new Lyapunov-Krasovskii functional, stability conditions which are dependent on the upper and lower bounds of the delays, are given in term of linear matrix inequalities (LMIs). A numerical...
In this paper, we consider discrete delay systems and obtain conditions for global uniform exponential stability. Our approach is based on the use of the Razumikhin technique and the Lyapunov function method. In the second part of the paper, we use our stability results to derive exponential synchronization criteria for discrete dynamical networks with coupling time delays. We explicitly consider...
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