摘要：We deal with the state consensus problem of a general Linear Interconnected Multi-Agent System （LIMAS） under a time-invariant and directed communication topology. Firstly, we propose a linear consensus protocol in a general form, which consists of state feedback of the agent itself and feedback form of the relative states between the agent and its neighbors. Secondly, a state-linear-transformation is applied to equivalently transform the state consensus problem into a partial stability problem. Based on the partial stability theory, we derive a sufficient and necessary criterion of consensus convergence, which is expressed via the Hurwitz stability of a real matrix constructed from the parameters of the agent models and the protocols, and present an analytical formula of the consensus function. Lastly, we propose a design procedure of the gain matrices in the protocol by solving a bilinear matrix inequality.

摘要：For the tunnel crossing active fault,the damage induced by fault movement is always *** solve such a problem,a detailed anti-faulting tunnel design process for Urumqi subway line 2 was introduced,and seven three-dimensional elastic-plastic finite element models were *** anti-faulting design process included three ***,the damage of tunnel lining from different locations of fault rupture surfaces was ***,the analysis of the effect on tunnel buried depth was ***,the effect of the disaster mitigation method on the flexible joint was verified and the location of the flexible joint was *** results show that when the properties of surrounding rock at the tunnel bottom grows soft,the tunnel deformation curve is smoother and tunnel damage induced by fault movement is less *** vertical displacement change ratio of secondary linings along the tunnel axis may be the main factor to cause shear damage to the *** interface between the hanging wall and fracture zone is defined as the most adverse fault rupture *** tunnel damage was reduced with the decrease in the tunnel buried depth as more energy was dissipated by overburden soil and the differential uplift zone of soil became more *** method of the flexible joint can reduce the tunnel damage significantly and the disaster mitigation effect of different locations on the flexible joint is *** tunnel damage is reduced by the greatest degree when the flexible joint is located on the fault rupture surface.

摘要：The current measuring methods of walkability,such as the walk score,consider that walking distance decay laws for all amenities are the same,which is not applicable to typical communities in China with plentiful ***,the walking distance decay laws of multi-type and multi-scale facilities are ***,based on the residents'amenity selection survey,the walking distance decay law of residents'choice of amenity was studied from three aspects,including the law of all amenities,the laws of different types of amenities and the laws of different scales of *** was proved that the walking distance decay laws of different kinds of amenities showed a significant ***,different amenities'acceptable walking distance and optimum walking distance were obtained according to previous studies and the decay *** with higher attraction and/or a larger scale showed a longer acceptable walking distance and optimum walking ***,the binary logistic model was used to describe the relationships between walking distance,amenity type,amenity scale and the probability of one amenity being selected,the prediction accuracy of which reached 80.4%.The calculated probability obtained from the model can be used as the decay coefficient of amenities in the measurement of walkability,providing a reference for the site selection and evaluation of amenities.