Leaderless and leader-following consensus of linear multi-agent systems

This paper studies the consensus problems for multi-agent systems with general linear and nonlinear dynamics. The leaderless and leader-following consensus problems are investigated respectively. Contraction theory is employed to generate some sufficient conditions for testing the agents reaching consensus. Under these conditions and certain assumptions,the trajectories of multi-agent systems in directed topology will converge to each other. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.     

大剂量范围电子束辐照超高分子量聚乙烯纤维结构与性能研究

采用高能电子束辐照方法获得了一系列从20kGy到1000kGy大剂量辐照范围的超高分子量聚乙烯纤维(UHMWPE fiber)。通过凝胶含量测试和溶胶流变性能测试定性和定量表征了辐照过程的交联和裂解效应,利用差示扫描量热仪(DSC)和X射线衍射仪(XRD)表征了辐照产物的结晶性能,并且利用热机械分析仪(TMA)表征了辐照纤维在高温恒温条件下的热尺寸稳定性。结果表明,高能电子束辐照对于UHMWPE纤维具有交联和裂解两种作用;大剂量辐照下会造成纤维熔点和熔融热焓降低,法线方向晶粒平均尺寸有明显变小;辐照交联大大提高了纤维的热尺寸稳定性。     

切换多项式非线性系统的输入-状态稳定性

利用耗散不等式研究了切换多项式非线性系统的输入-状态稳定性分析问题,在任意切换信号下,给出了使得切换多项式非线性系统输入-状态稳定的充分条件.采用平方和分解方法来寻找切换多项式非线性系统的输入-状态稳定共同Lyapunov函数.数值算例验证了所提方法的可行性.     

Synchronization for complex dynamical Lurie networks

This paper investigates the synchronization problem for two different complex dynamical Lurie networks, The first one is with constant coupling and the second one is with constant coupling and discrete-delay coupling. Based on contraction theory and matrix measure properties, some new delay-independent synchronization conditions depending on coupling strength and network topology are proposed. Finally, simulation results are presented to support the theoretical results.