Applied Mathematics and Computation

This paper studies the parameter tuning problem for a class of extended disturbance observers (EDO) and the EDO-based sliding mode control (SMC). Based on a H 2 optimization technique, analytical solutions for the parameter tuning of the EDO and ...

• Parameter tuning for an extended disturbance observer and sliding mode control is studied.
• Analytical solutions are derived based on a H2 optimization method.
• Conditions for higher-order EDOs being better than the lower-order ones ...

This article investigates the event-triggered adaptive control problem for a class of leaderless multi-agent systems with output constraints and unknown dead-zones. The adaptive updating laws are designed to eliminate the effects of unknown dead-...

In this article, the finite-time sliding mode fault-tolerant control problem is addressed for discrete-time cyber-physical systems with intermittent faults and denial-of-service (DoS) attacks. To model the intermittent nature of faults, two ...

• A switching-like observer is constructed to estimate unknown state and fault information.
• The designed reaching law can force the sliding surface function enter quasi-sliding mode domain within a finite time.
• An upper bound on the ...

This paper addresses the stability analysis of neural networks with a time-varying delay, where the delay is periodically varying bounded function with constrained derivatives. In order to obtain less conservative stability criteria, two novel ...

• A class of Lyapunov-Krasovskii functional (LKF) with delay-derivative-variation-dependent matrices (DDVDM) is developed.
• A new type of looped LKF, named the neuronal-activation-function-based looped functional, is proposed.
• A novel ...

The goal of this work is to develop high-order well-balanced schemes for the one-dimensional shallow-water equations with Coriolis terms. The main contribution is the development of general numerical methods that allow the achievement of ...

• Stationary solutions for one-dimensional shallow-water systems with Coriolis forces.
• High-order finite volume well-balanced schemes for water models.
• Comparing well-balanced and non-well-balanced schemes for one-dimensional ...

In evolutionary game theory, the emergence and maintenance of cooperative behavior in a population often face challenges posed by the temptation of free-riding behavior, which offers high individual payoff. Recently, apart from a range of ...

• The cooperative evolution in SPGG with punishment is investigated.
• A novel strategy updating rule, EPSO, is proposed.
• A new optimization algorithm, QPSO, is proposed to optimize the EPSO's parameters.
• The intricate dynamics of ...

We derive two decoupled KP-I equations from the system of two-dimensional (2D) Gross-Pitaevskii equations for a two-component Bose-Einstein condensate (BEC), using the multiple-scale expansion method. We produce asymptotic analytical vector-...

• Decoupled KP-I equations are derived from the system of two-dimensional Gross-Pitaevskii equations using multiple-scale expansion method.
• Asymptotic analytical dark-dark and dark-antidark line solitons and lump solutions are obtained.

The main focus of this paper is to explore the finite-time stabilization of mean-field time-varying stochastic systems that are affected by uncertain parameters, multiple disturbances, and delays. In contrast to prior studies, we present a set of ...

In this paper, a new fuzzy adaptive resilient decentralized control method is presented for the nonlinear interconnected cyber-physical systems under false data injection (FDI) attacks. Fuzzy logic systems (FLS) are used to model unknown ...

• A new fuzzy adaptive resilient decentralized controller is designed for the nonlinear interconnected CPSs under FDI attacks.
• The presented controller can ensure the controlled systems to be stable and compensate the impacts of FDI ...

Most individuals opt for vaccination to acquire immunity protection and prevent disease transmission. However, individuals cannot obtain perfect immunity protection after vaccination, due to various factors such as the limitation of vaccine ...

• Propose a novel vaccination game model with the vaccine efficacy and the adaptive perceived vaccination cost.
• For the moderate vaccination cost, the introduction of adaptive perception can promote vaccination behavior.
• The ...

Therapeutic resistance poses a significant obstacle in cancer control, and oncolytic viral therapy also faces the challenge of virus resistance. In this study, we propose models based on ordinary and delay differential equations to investigate ...

• We develop models of ordinary and delay differential equations to investigate the impact of resistance on tumor-virus interactions.
• If resistant tumor cells cannot be converted back to sensitive cells, every tumor cell will ultimately ...

We consider collocation methods for fractional elliptic equations with the integral fractional Laplacian on general bounded domains using radial basis functions (RBFs). Leveraging the Hankel transform, we develop highly efficient numerical ...

• Develop efficient methods for fractional Laplacian of radial basis functions with smooth Fourier transformations, e.g. Matern kernel.
• Devise a collocation formulation for fractional elliptic problems on complex domains.
• The ...

Direct computation in numerical simulations of turbulent flow are often unfeasible. Large eddy simulations (LES) have been shown to provide efficient alternative. We investigate a generalization of an LES model, the so-called Smagorinsky model, ...

• We investigated a generalization of the Smagorinsky model that attempts to correct over-dissipation, a well-known drawback.
• Performed finite element stability and convergence analysis for the fully discrete model.
• Conducted three ...

Let p be a prime greater than 3. In this paper we showed that a nonsolvable transitive permutation group of degree p containing an odd permutation is equal to the symmetric group S p. This answered the question proposed by Ito (1963) [8]. Then we ...

• Answers Ito's question proposed in 1963.
• Generators of S p: Using our findings, we delved into the generators of the symmetric group S p.
• Determined the number of a family of rotary maps up to isomorphism.

This paper focuses on the passivity analysis of a class of discrete-time memristor-based neural networks (DTMBNNs) with unbounded or bounded time-varying delays. Firstly, a novel sufficient condition composing several simple linear scalar ...

This paper investigates the bipartite output consensus tracking problem for disturbed agent networks where the agents have different state dimensions. A prescribed time robust coordination control scheme is proposed, which consists of a leader-...

• The bipartite output consensus tracking control problem of heterogeneous multi- agent systems subject to unknown disturbances is addressed.
• The integration of the distributed prescribed time observer and the prescribed time controller ...

The solutions of Hamilton-Jacobi (HJ) equations may contain discontinuous derivatives, which brings numerical difficulties in capturing sharply these derivatives. This paper presents a third-order weighted compact nonlinear scheme (WCNS) and a ...

• Two types of weighted compact nonlinear schemes are constructed to solve Hamilton-Jacobi equations.
• A switching condition of two schemes is designed to avoid numerical oscillations near discontinuities.
• The two schemes can achieve ...

Research on public goods game has traditionally focused on studying the effects of punishment and reward in experimental settings, commonly known as standard games. However, these standard games often examine isolated interactions among ...

• Introduce a generalized model designed to complement experimental studies.
• Investigate the impacts of individual and collective decision rule on emergence and maintenance of cooperation in PGG.
• Make a comparison between individual ...

Aiming at the problem of trajectory tracking control for mobile robot nonlinear systems with non-repetitive uncertain parameters, we propose a novel neural network compensator-based robust iterative learning control (NNRILC) scheme to achieve ...

• A novel ILC scheme combining neural network compensator is designed to solve trajectory tracking problem.
• The Runge-Kutta algorithm is introduced to solve the state differential equation and the controller equation.
• A neural ...

A fan, denoted by H 2 k, is the graph obtained by joining a vertex to a path with 2k vertices. A graph is H 2 k-free if it does not contain a subgraph H 2 k. Yuan (2021) [13] proved the Turán number and the extremal graphs of H 2 k-free graphs. ...

• Spectral Turán-type problem is a frontier research field in spectral graph theory. In this paper, we characterize spectral extremal graphs of H 2 k-free graphs for sufficiently large n and k ≥ 3.
• The problem investigated in this paper ...

This corrigendum addresses both the physical configuration and certain typographical errors in [1] to improve clarity. These corrections do not impact the originality, results, or mathematical validity of [1].