Applied Mathematics and Computation

The fully distributed hybrid adaptive learning consensus problem for a class of non-linearly parameterized multi-agent systems is investigated in this paper. Under the alignment initial condition and by parameter separation technique, ...

This paper investigates an identifiability method for a class of systems of reaction diffusion equations in the L ² framework. This class is composed of a master system of ordinary differential equations coupled with a ...

Quadratic matrix Lie groups are subgroups of the general linear group that satisfy a quadratic matrix identity. The main purpose of this paper is to consider Riemannian cubics in quadratic matrix Lie groups with left-...

This paper is concerned with the stability of linear time-delay systems by applying the Lyapunov–Krasovskii (L–K) functional method. Two versions of Bessel–Legendre (B-L) inequality are developed that are more suitable to deal with the ...

• An H ∞ observer design for uncertain one-sided Lipschitz nonlinear systems with time-varying delay is proposed.

The H _∞ observer design for uncertain one-sided Lipschitz nonlinear systems with time-varying delay is investigated in this paper. By considering the quadratic inner-bounded requirement and the one-sided Lipschitz ...

In this paper, we study a kind of optimal investment problem under inflation and uncertain time horizon. It can be generally formulated into a stochastic optimal control problem. In particular for the constant relative risk aversion ...

This paper mainly analyzes the well-posedness, and the stability analysis for the global solution of neutral stochastic differential delay equations (NSDDEs) driven by Lévy noises. By using an integral lemma and a Lyapunov function ...

This paper is concerned with the budget-constrained inverse median facility location problem on networks, in which the underlying vertex set is considered as customer points and the aim is to modify the vertex weights at the minimum ...

• The problem of how spatial patterns shape the cooperation in prisoner's dilemma game is investigated.

How cooperation arouses and maintains in social dilemmas has long been the core problem in evolutionary biology. Assortative interaction has been identified as a fundamental mechanism for cooperation in the social dilemma games. Many ...

Given a graph G and a sequence of color costs C, the Cost Coloring optimization problem consists in finding a coloring of G with the smallest total cost with respect to C. We present an analysis of this problem with respect to weighted ...

Let V be a Euclidean Jordan algebra and Ω be a cone of invertible squares in V. Suppose that g : R + → R is a matrix monotone function on the positive semiaxis which naturally induces a function g ˜ : Ω → V. We show that − g ˜ is ...

In the framework of digital control, finite-time stabilization of input-delay switched systems with saturating actuators is investigated. Digital state feedback controllers (DSFC) and digital output feedback controllers (DOFC) are ...

We develop a mathematical model of within-host Chlamydia dynamics to investigate the effects of different treatment combinations on the within-host dynamics of chronic genital chlamydial infections characterised by the presence of IFN-...

Let F( x, a ) be a real polynomial in two sets of variables, x and a , that is linear with respect to one of the variable sets, say ...

The disk packing problem (DPP) is to find an arrangement of circular disks within the smallest possible container without any overlap. We discuss a DPP for polysized disks in a circular container. DPP is known NP-hard and reported ...

H ∞ finite-time control for uncertain system with the unmeasurable state via the sliding mode control (SMC) approach is discussed in this article. Our attention is to design an appropriate finite-time SMC law to ...

We generalize the successive continuation paradigm introduced by Kernévez and Doedel [1] for locating locally optimal solutions of constrained optimization problems to the case of simultaneous equality and inequality constraints. The ...

A practical event-triggered design method is developed for cooperative robust containment control problem of multi-agent systems with multiple leaders. The multi-agent systems discussed in this paper are essentially heterogeneous, and ...

This paper is concerned with finite-time stability of neutral fractional order time delay systems with Lipschitz nonlinearities. By use of the method of steps and the generalized Gronwall inequality, a new criterion on finite-time ...

• A data-driven prediction method is proposed for the daily PM 2.5 concentration prediction.

Accurate reporting and forecasting of PM _2.5 concentration are important for improving public health. In this paper, we propose a daily prediction method of PM _2.5 concentration by using data-driven ordinary ...

• Numerical integration of polygonal finite elements is not well-established.
• Two ...

This paper aims to determine which numerical integration method shows the best performance when integrating the polygonal finite element stiffness matrix. Hence, numerical comparisons were made between two existing methods, ...

The hypercubes are a famous class of networks for multiprocessor systems and the unidirectional hypercubes are hypercube interconnection topologies with simplex unidirectional links. Under the classic PMC model, each processor in a ...

Based on fixed point index, the paper develops a theory of existence, localization and multiplicity of solutions to first-order differential systems subject to linear nonlocal conditions. The main features concern the role of the ...

In this paper, we present a convex model for single image dehazing via a sparse dark channel prior. Our work is based on an observation that the number of bright pixels is very small in the dark channel of a haze-free image, but ...

Shallow water equations are a nonlinear system of hyperbolic conservation laws. This system admits discontinuous solutions. In addition, a discontinuous bathymetry can lead to the discontinuous solutions. The accuracy of numerical ...

In this article an efficient sixth-order finite difference weighted essentially non-oscillatory scheme is developed to solve nonlinear degenerate parabolic equations. A new type of nonlinear weights are constructed with an introduction ...

In this paper, we discuss synchronization of discrete-time recurrent neural networks (DRNNs) with time-varying delays via quantized sliding mode control. A feedback controller based on sliding mode control is firstly imported in the ...

The Randić index is the topological index most widely used in applications for chemistry and pharmacology. It is defined for a graph G with vertex set V(G) and edge set E(G) as R ( G ) = ∑ u v ∈ E (...