In this paper we study stability and boundedness in terms of two measures for impulsive control systems. By using variational Lyapunov method, a new variational comparison principle and some criteria on stability and ...In this paper we study stability and boundedness in terms of two measures for impulsive control systems. By using variational Lyapunov method, a new variational comparison principle and some criteria on stability and boundedness are obtained. An example is presented to illustrate the efficiency of proposed result.展开更多
By using the variational Liapunov method, stability properties in terms of two measures for delay differential equations are discussed. In the case that the unperturbed systems are ordinary differential systems, emplo...By using the variational Liapunov method, stability properties in terms of two measures for delay differential equations are discussed. In the case that the unperturbed systems are ordinary differential systems, employing auxiliary measure h*(t, x), criteria on nonuniform and uniform stability in terms of two measures for delay differential equations are established.展开更多
This paper concerns a class of impulsive discrete systems and offers sufficient conditions of boundedness in terms of two measures for such systems, by employing vector Lyapunov functions and a new comparison principl...This paper concerns a class of impulsive discrete systems and offers sufficient conditions of boundedness in terms of two measures for such systems, by employing vector Lyapunov functions and a new comparison principle. The result obtained generalizes those in known literatures.展开更多
Some new direct criteria of boundedness in terms of two measures for impulsive integro-differential systems with fixed moments of impulse effects are established by Lyapunov functions coupled with Razumikhin techniques.
In this paper, by means of Liapunov functionals, we establish the criteria of uniform boundedness and uniform ultimate boundedness for infinite delay difference systems in terms of two measures. Moreover, an example i...In this paper, by means of Liapunov functionals, we establish the criteria of uniform boundedness and uniform ultimate boundedness for infinite delay difference systems in terms of two measures. Moreover, an example is given to illustrate the obtained results.展开更多
By using the variational Lyapunov method and Razumikhin technique, the stability criteria in terms of two measures for impulsive delay differential systems are established. The known results are generalized and improv...By using the variational Lyapunov method and Razumikhin technique, the stability criteria in terms of two measures for impulsive delay differential systems are established. The known results are generalized and improved. An example is worked out to illustrate the advantages of the theorems.展开更多
In this paper, we establish a criterion of unformly asymptotic stability for finite delay difference systems in terms of two measures by employing Lyapunov functionals method.
文摘In this paper we study stability and boundedness in terms of two measures for impulsive control systems. By using variational Lyapunov method, a new variational comparison principle and some criteria on stability and boundedness are obtained. An example is presented to illustrate the efficiency of proposed result.
文摘By using the variational Liapunov method, stability properties in terms of two measures for delay differential equations are discussed. In the case that the unperturbed systems are ordinary differential systems, employing auxiliary measure h*(t, x), criteria on nonuniform and uniform stability in terms of two measures for delay differential equations are established.
基金Supported by the Project-sponsored by SRF for ROCS, SEM of China(48371109) the Natural Science Foundation of Hebei Province (A2006000941).
文摘This paper concerns a class of impulsive discrete systems and offers sufficient conditions of boundedness in terms of two measures for such systems, by employing vector Lyapunov functions and a new comparison principle. The result obtained generalizes those in known literatures.
基金Supported by Shandong Province Higher Educational Science and Technology Program(J08LI59)Shandong University of Science and Technology"Chun Lei Plan"Science Program(2010AZZ054)
文摘Some new direct criteria of boundedness in terms of two measures for impulsive integro-differential systems with fixed moments of impulse effects are established by Lyapunov functions coupled with Razumikhin techniques.
文摘In this paper, by means of Liapunov functionals, we establish the criteria of uniform boundedness and uniform ultimate boundedness for infinite delay difference systems in terms of two measures. Moreover, an example is given to illustrate the obtained results.
基金Supported by the National Natural Science Foundation of China (Grant No.60973048)the Natural Science Foundation of Shandong Province (Grant No.Y2007G30)the Young Science Foundation of Qingdao University
文摘By using the variational Lyapunov method and Razumikhin technique, the stability criteria in terms of two measures for impulsive delay differential systems are established. The known results are generalized and improved. An example is worked out to illustrate the advantages of the theorems.
基金This work is supported by Mathematics Tianyuan Fund (No.A0324624),NNSF of China (No.10371040),Shanghai Priority Academic Discipline.
文摘In this paper, we establish a criterion of unformly asymptotic stability for finite delay difference systems in terms of two measures by employing Lyapunov functionals method.
