Publication Type:Academic Journal

Source(s):Mathematical Problems in Engineering. 6/29/2022, p1-19. 19p.

Abstract:Assessment of the degree of boundedness/stability of multidimensional nonlinear systems with time-dependent and nonperiodic coefficients is an important problem in various applied areas which has no adequate resolution yet. Most of the known techniques...

Publication Type:Academic Journal

Source(s):Mathematical Problems in Engineering. 6/8/2022, p1-14. 14p.

Abstract:In the process of actual system modeling, many systems exhibit nonlinear characteristics with memory. Thus, the parameter identification problem of the nonlinear system with memory usually appears in the system modeling. This report focuses on the nonl...

Publication Type:Academic Journal

Source(s):International Transactions on Electrical Energy Systems. 7/15/2022, p1-21. 21p.

Abstract:This study introduces a resilient frequency controller for nonlinear interconnected power systems to counteract endogenous/exogenous system disturbances. A neural network-based observer (NNO) is intended to estimate lumped system disturbances, such as ...

Publication Type:Academic Journal

Source(s):Complexity. 7/7/2022, p1-15. 15p.

Abstract:This paper studies the adaptive event-triggered finite-time tracking of output-constrained high-order nonlinear systems with time-varying powers. Due to the presence of multiple unknown powers and the consideration of event-triggered control, all the e...

Publication Type:Academic Journal

Source(s):Complexity. 6/22/2022, p1-24. 24p.

Abstract:In this article, we solve nonlinear systems of third order KdV Equations and the systems of coupled Burgers equations in one and two dimensions with the help of two different methods. The suggested techniques in addition with Laplace transform and Atan...

Publication Type:Academic Journal

Source(s):Journal of Function Spaces. 8/1/2022, p1-7. 7p.

Abstract:In this article, we consider two nonlinear neutral systems with multiple delays. Our main tool here is to use dichotomy theory to construct an implicit solution for these two systems. Utilizing Krasnoselskii's fixed point theorem, we obtain sufficient ...

Publication Type:Academic Journal

Source(s):Mathematical Problems in Engineering. 7/13/2022, p1-23. 23p.

Abstract:This article is related to the fractional-order analysis of one- and two-dimensional nonlinear systems of third-order KdV equations and coupled Burgers equations, applying modified analytical methods. The proposed problems will be solved with the Caput...

Publication Type:Academic Journal

Source(s):Mathematical Problems in Engineering. 6/24/2022, p1-10. 10p.

Abstract:Researchers have explored the concept of "practical stability" in the literature, pointing out that stability investigations always guarantee "practical stability" and the inverse is not true. The concept "practical stability" means that the origin is ...

Publication Type:Academic Journal

Source(s):Journal of Function Spaces. 6/9/2022, p1-7. 7p.

Abstract:In this work, we consider a swelling porous system where the damping terms are on the boundary. We establish an explicit and general decay result, without imposing restrictive growth assumption near the origin on the damping terms. Our result allows a ...

Publication Type:Academic Journal

Source(s):Mathematical Problems in Engineering. 6/10/2022, p1-15. 15p.

Abstract:In this paper, we present the existence and the stability results for a nonlinear coupled system of sequential fractional differential equations supplemented with a new kind of coupled boundary conditions. Existence and uniqueness results are establish...