This paper devotes to the global robust passivity problem for a novel Markovian switching Lotka-Volterra (LV) model with time-varying delay. The Markovian switching with uncertain mode transition rates is first drawn into modeling the predator-prey system and the uncertainty of model parameters is also fully discussed, which can reflect the realistic practical significance. The robust passivity for the uncertain LV model with disturbance input and feedback control is studied by the passivity theories and inequality techniques. Some sufficient criteria are derived by the Lyapunov-Krasovskii functional, and the corresponding controllers are designed to ensure the passivity of the proposed closed-loop uncertain LV model. Finally, a three-specie two-mode LV model is provided to illustrate effectiveness of the proposed theoretical results. KEYWORDS Lotka-Volterra model, Markovian process, passivity analysis, uncertain parameters MSC CLASSIFICATION 34H05; 37L55; 92-10; 93B52; 93D30 Math Meth Appl Sci. 2020;43:6976-6984. wileyonlinelibrary.com/journal/mma

Three-dimensional (3D) integration technology provides a great opportunity for reconfigurable devices to increase device performance. Nevertheless, there is no efficient data structure and task placement algorithm to manage 3D dynamic partial reconfigurable (DPR) resources in literature. Inefficient algorithms limit the performance of 3D DPR devices. This study addresses the issue of the 3D task placement problem via a novel data structure named Maximal Empty Cuboid (MEC) list, which is proposed to manage the unoccupied space on the 3D DPR device. No matter if a task is assigned or removed on the device, the MEC list is updated in real-time to record 3D unoccupied resources so that the online task placement can be executed in a shorter time. Experiments are carried out to evaluate the performance of the proposed task placement algorithm, and results demonstrate that the proposed algorithm can make a reduction of at least 39% in terms of the task rejection ratio verifying the algorithm's efficiency. INDEX TERMS Online task placement algorithm, three-dimensional, dynamic partial reconfigurable devices, maximal empty cuboid.

In this paper, the synchronization control of a non-autonomous Lotka–Volterra system with time delay and stochastic effects is studied. The purpose is to firstly establish sufficient conditions for the existence of global positive solution by constructing a suitable Lyapunov function. Some synchronization criteria are then derived by designing an appropriate full controller and a pinning controller, respectively. Finally, an example is presented to illustrate the feasibility and validity of the main theoretical results based on the Field-Programmable Gate Array hardware simulation tool.

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Genetic Regulatory Networks (GRNs) play an important role for the development and evolution of biological systems. On the basis of the development for DNA microarray technologies, a profound study for GRNs becomes possible at genome scale. In this article, the global dissipativity and corresponding attractive set for the GRNs with stochastic disturbances and time-delays are investigated based on Lyapunov theory. Stochastic disturbances are considered into both the feedback regulation process and the translation process for reflecting the inherent noise perturbations on a foundation of factual knowledge. Through the resort to the several appropriate Lyapunov-Krasovskii Functionals (LKFs) combining with Itô's formula and different inequality techniques, some corresponding sufficient conditions and the attractive set are obtained for the GRNs in linear matrix inequality form, which are easy to verify by the numerical software. Finally, one three-node GRN is proposed and analyzed to illustrate the validity of the proposed results by using the Field-Programmable Gate Array (FPGA) hardware simulation tool.