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[en] This paper deals with the problem of robust stability of uncertain neutral systems with neutral, discrete and distributed delays. A method based on linear matrix inequalities is presented that makes it easy to calculate both the upper stability bounds and the free weighting matrices. Since the criteria takes three different delays of neutral-, discrete- and distributed-delays into account, it is less conservative than previous methods. Numerical examples illustrate the improvement this approach provides over previous methods.
[en] Highlights: •A predator-prey model with delay was presented. •We showed effects of delay on patterns. •Pattern transition was obtained. •Rich patterns are shown in a predator-prey model. -- Abstract: Spatial diffusion and time delay are two main important factors in biological systems. In this paper, a predator-prey model with Holling III functional response, which includes time delay and diffusion processes is presented. It was found that time delay can induce transition from wave pattern to stationary pattern. Furthermore, for different values of time delay, different types of stationary patterns are obtained in the predator-prey model. These results may be useful for us to understand the pattern transition arising from intrinsic elements in the real ecosystems
[en] In this paper, the state observer for a class of linear systems with discrete and distributed time delays is investigated. Simple criterion is proposed to guarantee the existence of state observer for such systems. This criterion can be viewed as the dual to output feedback controller of time-delays systems. Finally, an upper bound of arbitrary time-varying delays without destroying state observer is also provided
[en] A novel criterion for the global robust stability of Hopfield-type interval neural networks with delay is presented. An example illustrating the improvement of the present criterion over several recently reported criteria is given.
[en] Delay-dependent exponential stability of non-autonomous cellular neural networks with delays is considered in this paper. Based on the differential inequality technique as well as a fact about Young inequality, some new sufficient conditions are given for global exponential stability of non-autonomous cellular neural networks with delays. The conditions rely on the size of time-delay. Since the results presented here do not require the differentiability of variable delay, they are less conservative than those established in the earlier references. An example is given to illustrate the applicability of these conditions
[en] In this paper, we investigate the dynamics of the Cohen-Grossberg neural networks with unbounded distributed delays. A new criteria for globally asymptotic stability of Cohen-Grossberg neural networks with distributed delays is presented
[en] The authors extract a universal deformation-dependent reduced-friction coefficient of the fission mode by analyzing experimental data with a combined dynamical (Langevin) and statistical model. They successfully describe excitation functions of neutron (and charged particle) multiplicities and fission (respectively survival) probabilities. They stress, in particular, the sensitivity of the friction coefficient on evaporation-residue cross sections and prescission γ-multiplicities. A comparison of their results with related work is also performed. 35 refs., 5 figs
[en] Senan and Arik [Senan S, Arik S. New results for exponential stability of delayed cellular neural networks. IEEE Trans Circ Syst II 2005;52(3):154-8] have presented criteria for the global exponential stability of delayed cellular neural networks. A less restrictive version of their approach is highlighted presently. A simplification of the results is discussed. A simplified form of an earlier exponential stability criterion due to Liao, Chen and Sanchez is presented
[en] In this paper, by utilizing a delay differential inequality and combining with inequality analysis technique, we investigate global exponential stability for nonautonomous neural networks with variable delays. Some new sufficient conditions ensuring global exponential stability are obtained. An example is also given to demonstrate the effectiveness of the obtained results.
[en] The time scale of the fission process at moderate to high excitation energies is determined by shape-dependent and, most likely, temperature-dependent nuclear dissipation. Most of the present knowledge about the time scale of nuclear fission has been deduced from measurements of multiplicities and the energy spectra of neutrons, light charged particles, and γ-rays evaporated or emitted prior to and after scission. Together with complementary data such as fission probabilities, it is possible to obtain a reasonable description of the time evolution of nuclear fission. The magnitudes of nuclear dissipation, deduced from pre and postscission neutron multiplicities, are compared with the results of recent theoretical dynamical models. The status of the experimental results pointing to a relatively slow fission process and cold scission, as well as the corresponding theoretical interpretation of these findings, are reviewed. 53 refs., 13 figs