In this work, a new approach to stability theory of functional differential equations is proposed. Instead of putting all components of the state variable x in one Liapunov-Razumikhin function, several functions of pa...In this work, a new approach to stability theory of functional differential equations is proposed. Instead of putting all components of the state variable x in one Liapunov-Razumikhin function, several functions of partial components of x, which can be much easier constructed. are used so that the conditions ensuring that stability are simpler and less restrictive. Also, an example is given to illustrate the advantages of the obtained results.展开更多
文摘In this work, a new approach to stability theory of functional differential equations is proposed. Instead of putting all components of the state variable x in one Liapunov-Razumikhin function, several functions of partial components of x, which can be much easier constructed. are used so that the conditions ensuring that stability are simpler and less restrictive. Also, an example is given to illustrate the advantages of the obtained results.
