Showing papers in "Applied Mathematics and Computation in 2021"

TL;DR: The JS algorithm was used to solve structural optimization problems, including 25- bar tower design and 582-bar tower design problems, where JS not only performed best but also required the fewest evaluations of objective functions.

TL;DR: An adaptive neural fault-tolerant control strategy for a class of switched nonlinear systems subject to actuator fault by means of the command filter approach, backstepping algorithm, and average dwell time method is put forward.

TL;DR: In this article, a compartmental epidemic model was proposed to predict and control the outbreak of respiratory disease caused by a novel coronavirus is ongoing from December 2019 to December 14, 2020, it has caused an epidemic outbreak with more than 73 million confirmed infections and above 1.5 million reported deaths worldwide.

TL;DR: Based on this inequality, a new criterion for finite-time synchronization of fractional order memristor-based neural networks (FMNNs) with time delay is derived.

TL;DR: In this article, the Sombor index of chemical graphs was introduced, defined as S O(G ) = ∑ u v ∈ E (G ) (d u ) 2 + (d v ) 2 ) 2 and named SombOR index.

TL;DR: A mathematical model with regard to the event-triggered load frequency control is established under considering the existence of deception attacks and some sufficient conditions that can ensure the mean-square asymptotic stability with a prescribed H ∞ performance index of the closed-loop system are deduced.

TL;DR: A two-layer network is developed to model the interaction between the spread of epidemic and the competitive diffusions of information and shows that knowledge diffusion can eradicate both rumor and epidemic, where the penetration intensity of knowledge into rumor plays a vital role.

TL;DR: This work concentrates on addressing the sliding mode control problem of continuous-time nonlinear networked control systems with the aid of the Lyapunov stability and sliding mode Control theory, and a state observer model is designed to estimate the state information.

TL;DR: The proposed LCTM inherits the properties of easy-to-use and meshless from the collocation Trefftz method (CTM), and mitigates the ill-conditioning resultant matrix encountered in the CTM.

TL;DR: In this paper, the problem of fixed-time synchronization (FTS) control for memristive neural networks (MNNs) with discrete timedelay and inertia term is investigated, and a new fixed time criterion and FTS of DIMNNs are achieved under the designed feedback controller in the light of comparison lemma and inequality techniques.

TL;DR: This paper proposes the generalized moment estimation which is the optimal solution of a minimization problem and works well when moment estimation is invalid.

TL;DR: In this article, a model-based adaptive event-triggered control scheme for a class of uncertain single-input and single-output nonlinear continuous-time systems is presented.

TL;DR: The results show that the mean-reverting process is an effective and reasonable method to introduce environmental noise into the continuous culture model of microorganism, and it is found that the reversion speed and volatility intensity have an important influence on the extinction and persistence ofmicroorganism.

TL;DR: Applying the lexicographical order method to the quaternion-valued memristive neural networks, the closed convex hull consisted by the connection weights is meaningful and one example is given to substantiate the obtained conclusions.

TL;DR: In this paper, the authors investigated the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like (CDGKS-like) equation.

TL;DR: A sliding mode FTC law is constructed to guarantee that the trajectories of system states can be arrived to the sliding surface in a finite time and two examples with simulation are given to verify the effectiveness of the theoretical method.

TL;DR: This paper proposes fractional-order competitive neural networks with multiple time-varying-delay links and explores the global asymptotic stability of this class of neural networks to show the close relationship between the stability criterion and the topological structure of networks.

TL;DR: This work presents explicit solutions for several families of fractional differential equations, both homogeneous and inhomogeneous cases, both commensurate and incommensurate, and in several interesting special cases in terms of a recently defined bivariate Mittag-Leffler function.

TL;DR: Wang et al. as discussed by the authors proposed a community detection algorithm based on a deep sparse autoencoder, which combines the path weight matrix with the weighted adjacent paths of the node to obtain the similarity matrix, which can not only reflect the similarity relationship among connected nodes in the network topology but also the similarity relationships among nodes and second-order neighbors.

TL;DR: To describe the nonhomogeneous Markov process, the polytopic-structure-based transition probabilities (TPs) are introduced and, using the matrix inequality decoupling method, the asynchronous filters with less conservative are achieved.

TL;DR: An impulsive disturbed neural network model with delays is constructed in quaternion space, and the exponential stability conditions of the delayed system are derived by utilizing generalized norms by constructing special Lyapunov-type functional.

TL;DR: In this article, the adaptive asymptotic tracking control issue is addressed for uncertain switched nonlinear systems with nonstrict feedback form under the dynamic surface control (DSC) framework.

TL;DR: In this paper, the spectral quasi linearization method (SQLM) was used to solve the equations and residual plots were extracted to exhibit the speediness of the introduced SQLM technique.

TL;DR: This paper considers supply chains modelled by partial and ordinary differential equations, for densities of parts on suppliers and queues among consecutive arcs, respectively, and gets the minimization of the cost functional via a genetic algorithm, which uses mechanisms of selection, crossover and mutation for the processing velocities.

TL;DR: An event-triggered output feedback control law including a robust compensation term is established to realize an anti-disturbance time-varying trajectory tracking without involving Zeno phenomena.

TL;DR: A delay-dependent sufficient criterion is established to ensure that the resulting tracking error system states are uniformly bounded and the design procedure of the considered non-fragile control gain and the intermediate estimator gain matrices are presented.

TL;DR: The results indicate that the combination of reputation and tag greatly promotes the evolution of altruistic behaviors within the structured population and the reputation threshold has a decisive effect on the dominant strategy within the population.

TL;DR: A Sinc-collocation method for solving the fourth-order partial integro-differential equation with the multi-term kernels based on the double exponential (DE) transformation is considered and the convergence analysis of proposed method is obtained.

TL;DR: Numerical experiments indicate that the localized Chebyshev collocation method is very promising for the efficient and accurate solution of large-scale problems.

TL;DR: The Weibull distribution taking the place of the exponential distribution in this paper is adopted for the sojourn-time of each mode in the semi-Markov jump inertial neural networks with reaction-diffusion.