Sufficient conditions are investigated for the global stability of the solu tions to models based on nonlinear impulsive differential equations with ＂supremum＂ and variable impulsive perturbations. The main tools ar...Sufficient conditions are investigated for the global stability of the solu tions to models based on nonlinear impulsive differential equations with ＂supremum＂ and variable impulsive perturbations. The main tools are the Lyapunov functions and Razu mikhin technique. Two illustrative examples are given to demonstrate the effectiveness of the obtained results.展开更多
Based on the precise integration method （PIM）, a coupling technique of the high order multiplication perturbation method （HOMPM） and the reduction method is proposed to solve variable coefficient singularly pertur...Based on the precise integration method （PIM）, a coupling technique of the high order multiplication perturbation method （HOMPM） and the reduction method is proposed to solve variable coefficient singularly perturbed two-point boundary value prob lems （TPBVPs） with one boundary layer. First, the inhomogeneous ordinary differential equations （ODEs） are transformed into the homogeneous ODEs by variable coefficient dimensional expansion. Then, the whole interval is divided evenly, and the transfer ma trix in each sub-interval is worked out through the HOMPM. Finally, a group of algebraic equations are given based on the relationship between the neighboring sub-intervals, which are solved by the reduction method. Numerical results show that the present method is highly efficient.展开更多
This paper proposes an approach to identify complex parameters describing concrete creep degree based on the simulated annealing (SA) principle.Through the existing engineering examples,the technique for variable pert...This paper proposes an approach to identify complex parameters describing concrete creep degree based on the simulated annealing (SA) principle.Through the existing engineering examples,the technique for variable perturbation is used to validate the astringency and credibility of the SA algorithm,and the sensitivity ofinvolved parameters to the objective function of the SA algorithm is also analyzed.Further,this study verifies the merits of the approach in simple programming structure,good stability,high calculation rate and accuracy.The SA algorithm should be recommended to apply for the multi-parameters identification of the similar engineering issues.展开更多
文摘Sufficient conditions are investigated for the global stability of the solu tions to models based on nonlinear impulsive differential equations with ＂supremum＂ and variable impulsive perturbations. The main tools are the Lyapunov functions and Razu mikhin technique. Two illustrative examples are given to demonstrate the effectiveness of the obtained results.
基金Project supported by the National Natural Science Foundation of China(Key Program)(Nos.11132004 and 51078145)
文摘Based on the precise integration method （PIM）, a coupling technique of the high order multiplication perturbation method （HOMPM） and the reduction method is proposed to solve variable coefficient singularly perturbed two-point boundary value prob lems （TPBVPs） with one boundary layer. First, the inhomogeneous ordinary differential equations （ODEs） are transformed into the homogeneous ODEs by variable coefficient dimensional expansion. Then, the whole interval is divided evenly, and the transfer ma trix in each sub-interval is worked out through the HOMPM. Finally, a group of algebraic equations are given based on the relationship between the neighboring sub-intervals, which are solved by the reduction method. Numerical results show that the present method is highly efficient.
基金Funded by the Natural Science Foundation of Heilongjiang Province(No.D0314)
文摘This paper proposes an approach to identify complex parameters describing concrete creep degree based on the simulated annealing (SA) principle.Through the existing engineering examples,the technique for variable perturbation is used to validate the astringency and credibility of the SA algorithm,and the sensitivity ofinvolved parameters to the objective function of the SA algorithm is also analyzed.Further,this study verifies the merits of the approach in simple programming structure,good stability,high calculation rate and accuracy.The SA algorithm should be recommended to apply for the multi-parameters identification of the similar engineering issues.
