Solutions to Lyapunov stability problems: nonlinear systems with continuous motions by Ljubomir T. Grujic

“…The necessary and sufficient conditions for accurate construction of a Lyapunov function and the necessary and sufficient conditions for a set to be the asymptotic stability domain are algorithmically solved for a nonlinear dynamical system with continuous motions. …”
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Scheduling Jobs and a Variable Maintenance on a Single Machine with Common Due-Date Assignment by Long Wan

“…For a special case with identical jobs we propose an optimal polynomial time algorithm followed by a numerical example.…”
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Analysis of Situations in Automated Decision-Making System under On-Line Control of Thermal Power Station Equipment Operation by V. А. Janitsky

“…It is revealed that conclusion procedure and algorithm concerning interaction of system separate parts significantly depend on the fact as far as single-meaning conclusions can be obtained on the basis of automatically measured information about an object to be controlled.…”
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L∞-error estimate for a system of elliptic quasivariational inequalities by M. Boulbrachene, M. Haiour, S. Saadi

“…Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan-Lions type and standard uniform error estimates known for elliptic variational inequalities (VIs).…”
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Numerical schemes for 3D parabolic problem with non-local boundwy condition by Raimondas Čiegis, Mečislovas Meilūnas, Olga Subač

“…An efficient realization algorithm of the LOD scheme is proposed. …”
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FEATURES OF APPLICATION OF METHODS OF NETWORK PLANNING AT PROJECT MANAGEMENT AT THE ENTERPRISES OF MECHANICAL ENGINEERING by L. Mikhailova, A. Sazonov, D. Petrov

“…Authors have presented an algorithm and an example of creation of the chart.…”
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Stress Analysis in Glass Artwork by João M. P. Coelho, Catarina Silva, Teresa Almeida

“…The proposed method is based on the principles of photoelasticity combining imaging and quantitative measures with an image processing algorithm. The main goal was to develop a methodology to help glass artists to determine the ability of their work to resist the thermal shocks by giving them a hazard map based on the stress map of the glass piece.…”
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Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ Operation by Rais Ahmad, Iqbal Ahmad, Zahoor Ahmad Rather, Yuanheng Wang

“…Under certain appropriate conditions, we establish equivalence between them. An iterative algorithm is defined for solving one of the three generalized variational inequalities involving XOR operation. …”
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Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay by Xiaohua Ding, Wenxue Li

“…Applying the theory of normal form and center manifold, we not only discuss the linear stability of the equilibrium and the existence of the local Hopf bifurcations, but also give the explicit algorithm for determining the direction of bifurcation and stability of the periodic solution of bifurcation.…”
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ESTIMATION OF MAXIMUM ACTIVE POWER TRANSMISSION TO LOAD FOR ACTIVE MULTI-POLAR DEVICES by A. V. Bondarenko, V. I. Mojar, V. A. Ustimovich

“…In this case we firstly determine a multi-polar equivalent for a circuit with active elements and then the obtained relations are estimated. The proposed algorithm for calculating electric circuits with active multi-polar devices is illustrated on some examples.…”
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Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation by H. Nouriani, R. Ezzati

“…Then, we prove convergence analysis and numerical stability analysis for the proposed numerical algorithm by two theorems. Finally, by some examples, we show the efficiency of the proposed method.…”
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Strong Convergence Theorems for a Finite Family of λi-Strict Pseudocontractions in 2-Uniformly Smooth Banach Spaces by Metric Projections by Xin-dong Liu, Shih-sen Chang, Xiong-rui Wang

“…A new hybrid projection algorithm is considered for a finite family of λi-strict pseudocontractions. …”
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Total Least Squares Method for Robust Source Localization in Sensor Networks Using TDOA Measurements by Yang Weng, Wendong Xiao, Lihua Xie

“…A total least squares (TLSs) algorithm is developed by a linear closed-form solution for this problem, and the uncertainty of the sensor location is formulated as a perturbation. …”
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Communication P Systems on Simplicial Complexes with Applications in Cluster Analysis by Xiyu Liu, Alice Xue

“…Examples are given to show the effect of the algorithm. The new P systems provide an alternative for traditional membrane computing.…”
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Modules for Pipelined Mixed Radix FFT Processors by Anatolij Sergiyenko, Anastasia Serhienko

“…The cores are designed by the method of spatial SDF mapping into the hardware, which provides the minimized hardware volume at the cost of slowdown of the algorithm by r times. Their clock frequency is equal to the data sampling frequency. …”
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A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model by Xiaowei Fang, Qin Ni

“…In this paper, we propose a new hybrid direct search method where a frame-based PRP conjugate gradients direct search algorithm is combined with radial basis function interpolation model. …”
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Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse by F. Soleymani, M. Sharifi, S. Shateyi

“…Numerical results including the comparisons with different existing methods of the same type in the literature will also be presented to manifest the superiority of the new algorithm in finding approximate inverses.…”
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The Management of Ureteropelvic Junction Obstruction Presenting with Prenatal Hydronephrosis by C.D. Anthony Herndon, David M. Kitchens

“…Herein, an appropriate algorithm and a review of the literature are discussed.…”
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Multiobjective Optimization of Turning Cutting Parameters for J-Steel Material by Adel T. Abbas, Karim Hamza, Mohamed F. Aly, Essam A. Al-Bahkali

“…An alternative approach for identifying the trade-off frontier was also tested via multiobjective implementation of the Efficient Global Optimization (m-EGO) algorithm. The m-EGO algorithm was successful in identifying two points within the good range of the trade-off frontier with 36% fewer experimental samples.…”
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Designing of a wide-area power system stabilizer using an exponential distribution optimizer and fuzzy controller considering time delays by Chao Zhang, Xucheng Chang, Jun Dai, Zhiqiang Chen, Manoochehr Babanezhad

“…Abstract In this paper, explore the effectiveness of a new Wide Area Fuzzy Power System Stabilizer (WAFPSS), optimized using the Exponential Distribution Optimization (EDO) algorithm, and applied to an IEEE three-area, six-machine power system model. …”
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