沿一类平坦曲线的Hilbert变换的有界性

讨论了沿平面平坦曲线的Ｈｉｌｂｅｒｔ变换的有界性。证明了对“凸”组合型曲线这类算子是Ｌｐ（Ｒ２）上的有界算子，其中１＜ｐ＜∞。     

Bounded MSC communication

Message sequence charts (MSCs) and high-level message sequence charts (HMSCs) are popular formalisms for the specification of communication protocols between asynchronous processes. An important concept in this context is the size of the communication buffers used between processes. Since real systems impose limitations on the capacity (or speed) of communication links, we ask whether a given HMSC can be implemented with respect to a given buffer size imposed by the environment. We introduce four different measures for buffer sizes and investigate for each of these measures the complexity of deciding whether a given MSC (or HMSC, or nested MSC) satisfies a given bound on the buffer size. The complexity of these problems varies between the classes P, NP, and coNP.     

具有小时滞的非线性振动系统的周期振动

本文研究具有小时滞的非线性振动系统。主要结果是:当时滞充分小时,若对应的不含时滞的常微分系统的解是一致有界和一致毕竟有界的,则时滞系统存在周期振动。最后讨论了扭振问题。     

圆内解析函数的一个性质

本文将圆内有界函数的幂级数之部分和的有界性定理推广到Hp类函数,并在此基础上,讨论了稍广的一类函数的相应问题。     

Statistically monotonic and statistically bounded sequences of fuzzy numbers

We introduce the statistical monotonicity and boundedness of a sequence of fuzzy numbers. We also derive the analogue of monotone convergence theorem and prove the decomposition theorems for this type of sequences.     

不确定刚性机械臂的鲁棒输出控制

针对不确定刚性机械臂系统的鲁棒控制和抖振问题，在仅有精确关节位置反馈的情况下，通过引入速度滤波器生成伪速度信号，并利用反推补偿设计滤波增益，提出了一种基于速度估计的鲁棒输出反馈控制策略。滤波器-控制器设计中不合有开关控制项，有效避免了控制抖振现象。该算法对采样频率无严格限制，最终可确保系统闭环半全局一致有界收敛。通过两关节机械臂的仿真实例验证了所提算法的有效性。     

Petri网精细化操作及其在系统设计中的应用

针对柔性制造系统的设计问题,提出了用Petri网精细化操作解决问题的方案.给出了两种精细化操作.研究了Petri网精细化操作的动态性质保持问题,给出了精细化操作保持活性、有界性、可回复性的充分必要条件;对一个柔性制造系统进行了设计和验证.其结果可为Petri网系统静态和动态性质的考察提供有效途径,为Petri网复杂大系统的分析提供重要手段,并特别适合于柔性制造系统的设计,具有一定的实用价值.     

离散时滞随机系统的一种均方有界事件驱动控制策略

针对状态时滞随机系统,应用事件驱动近似二次性能指标和随机均方有界理论,同时考虑控制输入和事件决策,设计了反馈控制器和相应的事件驱动控制策略.基于状态反馈的事件驱动策略同时使用当前状态和时滞状态进行事件的触发,并利用近似二次性能指标进行约束;基于输出反馈的事件驱动策略使用当前状态进行事件的触发.最后,通过实验进行了仿真,对事件驱动性能指标进行量化,并与相关文献进行对比,验证了所提出方案可以在保证系统性能的前提下有效减少通信传输,延长无线传感网络的使用寿命.     

Event‐triggered approach for finite‐time state estimation of delayed complex dynamical networks with random parameters

This article emphasizes the finite‐time state estimation problem for delayed complex dynamical networks with random parameters. In order to reduce the amount of transmission process, an aperiodic sampled‐data event‐triggered mechanism is introduced to determine whether the measurement output should be released at certain time points which incorporate an appropriate triggering condition and sampling moments. Furthermore, a concept of finite‐time boundedness in the pth moment is proposed to access the performance of state estimator. The objective of this article is to design an event‐triggered state estimator to estimate the states of nodes such that, in the presence of time delays, uncertainties, and randomly changing coupling weights, the estimation error system is finite‐time bounded in the pth moment related to a given constant. Some sufficient conditions in form of linear matrix inequalities and algebraic inequalities are established to guarantee finite‐time boundedness. Finally, a numerical example is presented to show the effectiveness of the theoretical results.     

Robust adaptive control of nonlinearly parametrized multivariable systems with unmatched disturbances

A new robust adaptive control scheme is developed for nonlinearly parametrized multivariable systems in the presence of parameter uncertainties and unmatched disturbances. The developed control scheme employs a new integrated framework of a functional bounding technique for handling nonlinearly parametrized system dynamics, an adaptive parameter estimation algorithm for dealing with parameter uncertainties, a nonlinear feedback controller structure for stabilization of interconnected system states, and a robust adaptive control design for accommodating unmatched disturbances. It is proved that such a new robust adaptive control scheme is capable of ensuring the global boundedness and mean convergence of all closed‐loop system signals. A complete simulation study on an air vehicle system with nonlinear parametrization in the presence of an unmatched wind disturbance is conducted, and its results verify the effectiveness of the proposed robust adaptive control scheme.