This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters. From these results, one can, to a large ext...This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters. From these results, one can, to a large extent, explain and control the stability of some objects in their moving processes.展开更多
In this paper, we propose a new input-to-state stable （ISS） synchronization method for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on Lyapunov theory and linear matrix inequality ...In this paper, we propose a new input-to-state stable （ISS） synchronization method for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on Lyapunov theory and linear matrix inequality （LMI） approach, for the first time, the ISS synchronization controller is presented to not only guarantee the asymptotic synchronization but also achieve the bounded synchronization error for any bounded disturbance. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation study is presented to demonstrate the effectiveness of the proposed synchronization scheme.展开更多
The authors consider the homogenization of a class of nonlinear variational inequalities,which include rapid oscillations with respect to a parameter.The homogenization of the corresponding class of differential equat...The authors consider the homogenization of a class of nonlinear variational inequalities,which include rapid oscillations with respect to a parameter.The homogenization of the corresponding class of differential equations is also studied.The results are applied to some models for the pressure in a thin fluid film fluid between two surfaces which are in relative motion.This is an important problem in the lubrication theory.In particular,the analysis includes the effects of surface roughness on both faces and the phenomenon of cavitation.Moreover,the fluid can be modeled as Newtonian or non-Newtonian by using a Rabinowitsch fluid model.展开更多
文摘This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters. From these results, one can, to a large extent, explain and control the stability of some objects in their moving processes.
文摘In this paper, we propose a new input-to-state stable （ISS） synchronization method for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on Lyapunov theory and linear matrix inequality （LMI） approach, for the first time, the ISS synchronization controller is presented to not only guarantee the asymptotic synchronization but also achieve the bounded synchronization error for any bounded disturbance. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation study is presented to demonstrate the effectiveness of the proposed synchronization scheme.
文摘The authors consider the homogenization of a class of nonlinear variational inequalities,which include rapid oscillations with respect to a parameter.The homogenization of the corresponding class of differential equations is also studied.The results are applied to some models for the pressure in a thin fluid film fluid between two surfaces which are in relative motion.This is an important problem in the lubrication theory.In particular,the analysis includes the effects of surface roughness on both faces and the phenomenon of cavitation.Moreover,the fluid can be modeled as Newtonian or non-Newtonian by using a Rabinowitsch fluid model.
