[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] 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] 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] 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] A criterion for the global robust stability of interval Hopfield-type neural networks with delay is presented. The criterion is a less restrictive version of a recent criterion due to Cao and Wang. An example showing the effectiveness of the present criterion is given

[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] 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] Violation behavior of e-bikes at the signal intersection is usually induced by the ‘herd effect’, which may easily lead to dangerous accidents. In order to study the propagation mechanism of e-bikes’ illegal crossing, taking the high mobility and flexibility of e-bikes into account, this paper proposes an illegal time-delay model based on the theory of regular Lattice. A typical signal intersection of Guilin was selected as the study subject. Its topological features are analyzed through field survey and video shooting. Further, how the violation behavior of e-bikes with different structural features evolves was investigated. Results show that the herd illegal behavior of e-bikes is sensitively affected by the degree, transmission rate, arrival rate and crossing time. Specifically, a slight increase of any of the above factors will dramatically boost the violation behavior across the whole intersection. This study may give insight into why the illegal crossing of e-bikes prevails, and help to facilitate intersection design and signal control in the future. (paper)

[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