The problem of finite-time stability of switched genetic regulatory networks with time-varying delays via Wirtinger’s integral inequality is addressed in this study. A novel Lyapunov–Krasovskii functional is proposed to capture the dynamical characteristic of GRNs. Using Wirtinger’s integral inequality, reciprocally convex combination technique and the average dwell time method conditions in the form of linear matrix inequalities are established for finite-time stability of switched GRNs. The applicability of the developed finite-time stability conditions is validated by numerical results.

This article examines mixed ℋ -infinity and passivity synchronization of Markovian jumping neutral-type complex dynamical network models with randomly occurring coupling delays and actuator faults. The randomly occurring coupling delays are considered to design the complex dynamical networks in practice. These delays complied with certain Bernoulli distributed white noise sequences. The relevant data including limits of actuator faults, bounds of the nonlinear terms, and external disturbances are available for designing the controller structure. Novel Lyapunov–Krasovskii functional is constructed to verify the (...) stability of the error model and performance level. Jensen’s inequality and a new integral inequality are applied to derive the outcomes. Sufficient conditions for the synchronization error system are given in terms of linear matrix inequalities, which can be analyzed easily by utilizing general numerical programming. Numerical illustrations are given to exhibit the usefulness of the obtained results. (shrink)

Child abuse is an underreported phenomenon despite its high global prevalence. This study investigated how child abuse is perceived by children and adolescents as manifested in their drawings and narratives, based on the well-established notion that drawings serve as a window into children’s mental states. A sample of 97 Israeli children and adolescents aged 6–17 were asked to draw and narrate what child abuse meant to them. The drawings and narratives were coded quantitatively. The results indicated that participants did not (...) perceive a distinction between abuse and violence and referred to them interchangeably. Almost half of the participants focused on emotional abuse. The most frequent type of abuse within the family was between parents and children, and the most frequent abuse outside the family was peer victimization. Most of the drawings were figurative and realistic and half of the drawings included words suggestive of the participants’ attempts to be heard and fully understood. The vast majority of drawings did not include the figure of the artist, about a third of the drawings employed dissociative techniques, and almost half of the narratives were dissociative or characterized by negative resolution, describing feelings such as sadness, humiliation, and loneliness. These findings suggest the emotional pain associated with the abuse or violence and the use of dissociative mechanisms to bypass the pain. The findings are discussed in light of the literature on children’s disclosure. (shrink)

In this study, we investigate the effectiveness of a robust sampled-data H ∞ load frequency control scheme for power systems with randomly occurring time-varying delays. By using the input-delay technique, the sampled-data LFC model is reformulated as a continuous time-delay representation. Then, Bernoulli-distributed white noise sequences are used to describe randomly occurring time-varying delays in the sampled-data LFC model. Some less conservative conditions are achieved by utilizing the Lyapunov–Krasovskii functional and employing Jensen inequality and reciprocal convex combination lemma to ensure (...) the considered power system has mean-square asymptotic stability under the designed control scheme. The derived results are based on linear matrix inequalities that can readily be solved using the MATLAB LMI toolbox. The criteria obtained are used to analyze the upper bounds for time delays, and a comparison study to validate the efficacy of the presented method is presented. (shrink)