A new result on the stability of delay difference equations is established, in which a kind of weighted norm for x is adopted in order to estimate the upper bound of Liapunov functional.
In this paper, by constructing Liapunov functionals, we study the global attractivity of linear non-autonomous neutral differential difference equation and obtain some new easily-checked sufficient conditions for the ...In this paper, by constructing Liapunov functionals, we study the global attractivity of linear non-autonomous neutral differential difference equation and obtain some new easily-checked sufficient conditions for the global attractivity of the zero solution of equation (1).展开更多
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
In this paper, we transform the Lurie indirect control systems into a nonlinear system with separating variables by a topological transformation and introduce a definition of absolute stability for partial variables. ...In this paper, we transform the Lurie indirect control systems into a nonlinear system with separating variables by a topological transformation and introduce a definition of absolute stability for partial variables. The necessary and sufficient conditions (NASC) for the absolute stability of Lurie indirect control systems are given and some sufficient conditions are obtained.展开更多
文摘A new result on the stability of delay difference equations is established, in which a kind of weighted norm for x is adopted in order to estimate the upper bound of Liapunov functional.
文摘In this paper, by constructing Liapunov functionals, we study the global attractivity of linear non-autonomous neutral differential difference equation and obtain some new easily-checked sufficient conditions for the global attractivity of the zero solution of equation (1).
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Project supported by the National Natural Science Foundation of China.
文摘In this paper, we transform the Lurie indirect control systems into a nonlinear system with separating variables by a topological transformation and introduce a definition of absolute stability for partial variables. The necessary and sufficient conditions (NASC) for the absolute stability of Lurie indirect control systems are given and some sufficient conditions are obtained.
