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 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.
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...
Published in Annual Reviews in Control
The SARS-CoV-2 is a type of coronavirus that has caused the pandemic known as the Coronavirus Disease of 2019, or COVID-19. In traditional epidemiological models such as SEIR (Susceptible, Exposed, Infected, Removed), the exposed group E does not infect the susceptible group S . A distinguishing feature of COVID-19 is that, unlike with previous vir...
Published in Sādhanā
This paper outlines a new approach in control of active vibration systems to make the system robust to parametric uncertainties, unmodeled dynamic effects and external disturbances. Namely, it is aimed to ensure robustness of the system towards all kind of disturbances such as road surface inputs and unexpected system parameter changes. So, a new r...
This paper deals with the analysis of the time-discretization of the super-twisting algorithm, with an implicit Euler method. It is shown that the discretized system is well-posed. The existence of a Lyapunov function with convex level sets is proved for the continuoustime closed-loop system. Then the global asymptotic Lyapunov stability of the unp...
Published in Journal of Applied and Industrial Mathematics
Abstract We study linear stability of a steady state for a generalization of the basic rheological Pokrovskii–Vinogradov model which describes the flows of melts and solutions of an incompressible viscoelastic polymeric medium in the nonisothermal case under the influence of a magnetic field. We prove that the corresponding linearized problem descr...
