Event-based biological pest control: An LMI approach.

This study focuses on the event-triggered control approach for the mathematical model describing the interaction between the sugarcane borer (Diatraea saccharalis) and its egg parasitoid Trichogramma galloi, as well as the combined interaction of Trichogramma galloi and Cotesia flavipes. By employing digital control design, an effective strategy can be devised to minimize the population of natural enemies. Therefore, proposing an event-triggered control mechanism for the sugarcane borer is essential.

Robust filter design for discrete time switched interconnected systems with time-varying delays.

The filter design of for an interconnecting system (IS) with uncertain discrete time switching is examined. Discrete-time -linear subsystems with coupling states that have time delays, external disturbances and uncertainty are taken into account. Utilising Lyapunov-Krasovskii functional (LKF) and the Linear-Matrix-Inequality (LMI) approach, an appropriate filter is designed for the considered interconnected system.

An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators.

This article focuses on the approximate controllability of impulsive neutral stochastic integrodifferential inclusions in Hilbert spaces. We used resolvent operators, fixed point approaches, and semigroup theory to achieve the article's main results. First, we focus on the existence of approximate controllability, and we develop the existence results with nonlocal conditions.

Stationary distribution and global stability of stochastic predator-prey model with disease in prey population.

In this paper, a new stochastic four-species predator-prey model with disease in the first prey is proposed and studied. First, we present the stochastic model with some biological assumptions and establish the existence of globally positive solutions. Moreover, a condition for species to be permanent and extinction is provided.

Finite-time decentralized non-fragile dissipative control for large-scale systems against actuator saturation.

This paper employs linear matrix inequality-based optimization algorithm to establish finite-time boundedness and dissipativeness for a class of large-scale systems in the presence of actuator faults and actuator saturation. In addition, for the proposed system, a novel time-varying actuator fault model is incorporated in controller design, which is more general than the conventional actuator fault models. Specifically, by constructing a suitable Lyapunov-Krasovskii functional, a new set of sufficient conditions is derived, which ensures the finite-time boundedness with dissipativity of the considered large-scale systems.

Modeling the Dependency Structure of Integrated Intensity Processes.

This paper studies an important issue of dependence structure. To model this structure, the intensities within the Cox processes are driven by dependent shot noise processes, where jumps occur simultaneously and their sizes are correlated. The joint survival probability of the integrated intensities is explicitly obtained from the copula with exponential marginal distributions.