Showing papers in "Applied Mathematics and Computation in 2020"

TL;DR: A new approach for finding solitary wave solutions of high-order nonlinear differential equations of perturbed Schrodinger equations of the fourth, sixth, eighth, tenth and twelfth orders is presented.

TL;DR: The experimental results demonstrate that the proposed algorithm MSCA is superior to other competitors in terms of quality of solutions and convergence speed and can serve as an effective andefficient computer-aided tool for practical tasks with complex search space.

TL;DR: The stability of the closed-loop system is proven via a fractional version of the Lyapunov stability theorem and Barbalat's lemma and the developed control technique on the uncertain fractional-order hyperchaotic memristor oscillator is investigated.

TL;DR: An extended generalized Darboux transformation method is proposed to construct the hybrid rogue wave and breather solutions for a classical nonlinear Schrodinger equation and an exact link is established between the hybrid solutions and the rogue wave solutions via setting the parameter at special value.

TL;DR: The purpose of this paper is to review and categorize ANP studies previously conducted, and some suggestions for future research are presented.

TL;DR: This paper investigates the problem of event-triggered adaptive fuzzy output feedback control for a class of multi-input and multi-output (MIMO) switched nonlinear systems and proposes a control scheme based on the Lyapunov stability theory and the backstepping design technique.

TL;DR: A generalized (3+1)-dimensional Kadomtsev–Petviashvili equation, which can be reduced to the classical equation, is investigated based on the Hirota bilinear method, and solutions derived from polynomial solutions are obtained.

TL;DR: With the increasing of the number of neurons stimulated by electromagnetic radiation, the dynamics behaviors of the neural network gradually change from period moving to chaos, transient chaos and intricate hyperchaos, which could give new insights to understand the occurrence mechanism of some neuronal diseases.

TL;DR: A sensitive sensor of temperature is obtained, and this feasible neuron model can be effective to investigate the collective behaviors of neural networks in the presence of time-varying temperature.

TL;DR: A new model for tensor robust principal component analysis which aims to recover a low-rank tensor corrupted by sparse noise is considered and a tensor augmentation tool called ket augmentation is used to convert lower-order tensors to higher-order Tensors to enhance the performance of the method.

TL;DR: It is discovered that, contrary to the findings in previous studies, time-delays in a system may enlarge the interval of sampled-data periods and accelerate the rate of convergence of the system states, rather than deteriorate the system performance.

TL;DR: Results indicate that the ANN model predicts the experimental data with very high accuracy and the best solution adopted from points on the Pareto front by two well-known decision-making methods LINMAP and TOPSIS.

TL;DR: An improved time-delay interval segmentation method is developed to construct a more general Lyapunov-Krasovskii functional (LKF) with relaxed conditions, which fully considers information concerning time delays and the derivative information of both states and time delays.

TL;DR: A novel distributed OBCC scheme is proposed based on model-free reinforcement learning method to achieve OBCCs, where the agent’s dynamics are no longer required.

TL;DR: A technique lemma is obtained based on the properties of nonsingular M-matrices and the delay-dependent and -independent criteria under which the zero equilibrium is globally exponentially stable are derived.

TL;DR: A novel lemma is established to establish the settling-time due to the uncertain intermittent intervals, and two quantized intermittent controllers without chattering are designed, which can reduce the control cost and save channel resources.

TL;DR: A creep model is established by use of the short memory effect on each creep stage, and the efficiency of the model is verified.

TL;DR: Numerical experiments demonstrate the validity and accuracy of the proposed LMFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations with noisy boundary data.

TL;DR: A lemma of exponent stability is developed to derive the finite-time stability conditions of fractional-order complex valued neural networks with time delay and two examples are used to verify the validity and feasibility of the proposed criteria.

TL;DR: By use of the method of steps and the generalized Gronwall inequality, a new criterion on finite-time stability of neutral fractional order time delay systems with Lipschitz nonlinearities is obtained.

TL;DR: By constructing a proper Lyapnov function, the MSRSNSs is stochastically stable with l 2 − l ∞ performance level is guaranteed, and the new relationship are proposed to depict multiple mutually independent Markov chains between original MMSRS NSs and nonstationary filters.

TL;DR: By employing the ideas of Cauchy–Schwartz inequality, Burkholder–Davis–Gundy inequality, analysis technique, some sufficient conditions are derived to ensure the uniform stability in mean square of stochastic fractional-order memristor fuzzy BAM neural networks.

TL;DR: This work designed an improved coupling quadratic map (ICQM), which is surjective and has good ergodicity and randomness, and reconstructed a keyed strong S-Box scheme without weakness based on ICQM and backtracking, which indicated the effectiveness of the proposed S- box construction scheme.

TL;DR: A suitable finite-time stabilizable controller is devised to guarantee the positiveness of the closed-loop MJNNs and some sufficient conditions for the existence of the controller gain solutions are proposed and proved by using the stochastic Lyapunov-Krasovskii functional approach and linear matrix inequalities techniques.

TL;DR: The results of several numerical examples have shown that with same group of field nodes the present methodology can lead to much more accurate solutions than finite element approach, in particular for relatively high frequencies, and can also generate comparable solutions in comparison to other global Galerkin meshfree techniques.

TL;DR: A mechanism aiming to investigate the co-evolution of personal reputation and strategy under a general framework of interactive diversity (being referred to as edge-strategy for simplicity) finds that there exists an optimal reputation value which can promote the frequency of cooperation by a large extent.

TL;DR: An e-accurate mathematical linear programming model for the continuous PRP (e-CPRP for short), in which decision variables such as driving speeds, travel times, arrival/departure/waiting times, vehicle loads, and FCRs were all optimized concurrently on their continuous domains.

TL;DR: This paper addresses the problem of assessing the stability of linear time-invariant (LTI) systems with time-varying delay with a new stability criterion specified as a negativity condition for a quadratic function parameterized by the delay.

TL;DR: By applying a novel summation inequality integrated with the reciprocally convex approach under the framework of the Lyapunov functional method, the delay-dependent conditions are provided to guarantee the presence of an ellipsoid that bounds the system state in the existence of bounded disturbances.

TL;DR: A mathematical model of tuberculosis (TB) transmission considering social awareness effects during an epidemic, and the existence and characterization of the optimal solution to the problem solved analytically.