Controllability analysis for a class of linear quadratic conformable fractional game-based control systems

Controllability analysis for a class of linear quadratic conformable fractional game-based control systems (CFGBCSs) is investigated in this article. Supported by the definition and property of conformable fractional, the payoff function for linear quadratic CFGBCSs is proposed, and Nash equilibrium solution is obtained via variational method for Hamilton function correspondingly. Subsequently, the state transition matrix and controllability matrix are presented to deduce the sufficient and necessary conditions for the controllability of Nash equilibrium solution of time-varying linear quadratic CFGBCSs and time-invariant linear quadratic CFGBCSs, respectively. Finally, two numerical examples are furnished to justify the validity of the matrix full rank condition.     

Existence and controllability of second-order nonlinear retarded integro-differential systems with multiple delays in control

This work analyzes the existence and exact controllability of nonlinear second-order retarded integro-differential equations involving delays in control. Making use of fixed point principle and cosine family we determine the existence of solutions. Then, under some assumptions, we show that the controllability of the associated linear system without delay implies the controllability of the associated linear delay system and the actual system by applying an iterative technique. To illustrate the results, we introduce an example.     

Effect of the interdependence between subnets on the structural controllability of complex networks

Controllability is a hot issue in complex networks. In this paper, without changing the number and the positions of the controllers, the effect of interdependence (viz., inter-coupling relations) between two directed subnets that are controllable or uncontrollable on the structural controllability of complex networks is investigated. According to the Kalman rank criterion and PBH rank criterion, some sufficient conditions and necessary conditions for the structural controllability or uncontrollability of interdependent networks are presented. The results show that (1) if the uncontrollable and controllable nodes in one subnet are inter-coupled with the controllable and uncontrollable nodes in the other subnet, respectively, and the directions are from controllable nodes to the uncontrollable nodes, then the interdependent network may be controllable; (2) the interdependent network can be obtained structurally controllable if there are simply directed paths covering all the uncontrollable nodes of the two subnets, separately; and (3) the interdependent networks are structurally controllable no matter what kind of inter-couplings between two controllable subnets. All of these results are adaptive to undirected subnets. The final example verifies the effectiveness and correctness of the results provided in this paper.     

Controllability of fractional dynamical systems with distributed delays in control using ψ-Caputo fractional derivative

This research investigates the controllability of linear and non-linear fractional dynamical systems with distributed delays in control using the $\psi$-Caputo fractional derivative. For controllability of linear systems, the positive definiteness of Grammian matrix, which is characterized by Mittag–Leffler functions, is used to provide necessary and sufficient conditions. For the controllability of non-linear systems, the iterative technique with the completeness of $X$ is used to obtain sufficient conditions. Using the $\psi$-Caputo fractional derivative, this study is new since it investigates the ideas of controllability. A couple of numerical results are offered to explain the theoretical results.     

复杂系统的计量性设计与评估

从产品的计量性概念出发,以用户的视角和愿望,提出了计量性的14个设计要素构成的指标体系及设计原则,用以指导产品的计量性设计;对于计量性设计的优劣,使用了相同的14个要素进行评估,并可用于比较不同的计量性设计的优劣。     

Risk-reducing strategies after a product-harm crisis: The moderating role of controllability attribution

Extant research on crisis communication underexplored firm responses in terms of risk-reducing strategies. When a product-harm crisis occurs, a focal firm can use strategies targeted at repairing the damage that has already happened (i.e., to reduce consequence) or preventing the recurrence of the crisis (i.e., to reduce recurrence likelihood) to mitigate potential damage and assuage public concern. This paper reveals that the effectiveness of risk-reducing strategies is influenced by consumers' controllability attribution. Controllability attribution refers to whether or not consumers perceive that a focal firm could have prevented an event from happening. Results of the study indicate that consequence-reducing strategies lead to better attitudes, but not greater worry reduction than likelihood-reducing strategies when controllability attribution is low. However, likelihood-reducing strategies result in greater worry reduction, but not better attitudes than consequence-reducing strategies when controllability attribution is high. Message credibility perceptions fully mediate the effects of risk-reducing strategies on attitudes and worry reduction in the case of low firm controllability. The results highlight the role of controllability attribution in affecting the relative effectiveness of the two risk-reducing strategies.     

AA/AM/AMPS超浓反相乳液聚合合成钻井液降滤失剂的研究

所合成的AA／AM／AMPS三元共聚合超浓反相乳液以白油为外相，可直接用作水基钻井液的降滤失剂。根据2．0％反相孔液在淡水基浆中的降滤失效果，得到了最佳合成条件：单体在水相中的质量分数55％。水相体积分数85％，乳化剂为油相质量的12％，引发剂K2S2O8与单体的摩尔比为0.2％，单体中水化基团（羧酸根，磺酸根）与吸附基团（酰胺基）摩尔比为1：1，实验中为0．75：1。在淡水、盐水、饱和盐水、复合盐水基浆中加入2．0％反相乳液，其API滤失量分别为12.2、14.3、19.5、14.0mL，在150℃滚动老化16小时后分别为13．8、19．2、28．0、16．3mL。该反相乳液稳定性良好，在3000r／min离心分离60min，油相分离率为2．2％，在室温储存3个月。油相分离率为6．0％。图6表1参17。     

Integrated process design and control of divided-wall distillation columns using molecular tracking

This work explores the dynamic and control behavior of dividing wall distillation columns from two different steady-state design approaches (molecular tracking and optimization method) for three different mixtures. The controllability of the six design cases was evaluated using singular value decomposition and the closed-loop performance was evaluated using integral absolute error in Aspen Dynamics. The results demonstrate that the side-draw location obtained by molecular tracking (MT) provides optimal controllability. As a result, there is a slight advantage in control properties while obtaining designs by reducing the time to find the optimal solution through the MT method.