The design problem of a high-gain observer is considered for some 2 × 2 and 3 × 3 semilinear reaction-diffusion systems, with possibly distinct diffusivities, and considering distributed measurement of part of the state. Due to limitations imposed by the parabolic operator, for the design of such an observer, an infinite-dimensional state transform...
Published in Bulletin of Mathematical Biology
This paper considers predator–prey systems in which the prey can move between source and sink patches. First, we give a complete analysis on global dynamics of the model. Then, we show that when diffusion from the source to sink is not large, the species would coexist at a steady state; when the diffusion is large, the predator goes to extinction, ...
This paper focuses on the design of both periodic time-and event-triggered control laws of switched affine systems using a hybrid dynamical system approach. The novelties of this paper rely on the hybrid dynamical representation of this class of systems and on a free-matrix min-projection control, which relaxes the structure of the usual Lyapunov m...
Published in SN Computer Science
This paper adds to the discussion about theoretical aspects of particle swarm stability by proposing to employ stochastic Lyapunov functions and to determine the convergence set by quantifier elimination. We present a computational procedure and show that this approach leads to a reevaluation and extension of previously known stability regions for ...
Published in Biochemical and Biophysical Research Communications
• A COVID-19 model with media campaigns and treatment is established. • The adaptive control problem of COVID-19 model is proposed. • The controllers are designed by using estimated parameters to reach control goals. • The phenomenon of secondary or even multiple outbreaks of COVID-19 is shown.
Classical modeling and control methods applied to differential locomotion mobile robots generate mathematical equations that approximate the dynamics of the system and work relatively well when the system is linear in a specific range. However, they may have low accuracy when there are many variations of the dynamics over time or disturbances occur...
Published in Mechanics of Solids
Abstract—This article is the second part of the work, published in the form of two articles. The case, which remained unexplored in the first part, is considered, when for an unperturbed value of the constant of the cyclic integral, the mechanical reduced potential energy is constant with respect to the internal cardan angle. It is proved that in t...
The main goal of this article is to study the robustness of continuous homogeneous systems with sampled-data inputs subject to external disturbances. We characterize how the perturbations affect the system and we show that global asymptotic set stability is achieved.
The design problem of a high-gain observer is considered for some 2×2 and 3×3 semilinear reaction-diffusion systems, with possibly distinct diffusivities, and considering distributed measurement of part of the state.Due to limitations imposed by the parabolic operator, for the design of such an observer, an infinite-dimensional state transformation...
Published in Advances in Difference Equations
In this paper, we focus on the problem of synchronization for chaotic neural networks with stochastic disturbances. Firstly, we provide a basic result that the systems including the drive system, response system, and error system have a unique solution on the whole time horizon. Based on this result, we design a new control law such that the respon...
