Title of article :
Input-to-state stability of nonlinear systems based on an indefinite Lyapunov function
Author/Authors :
Ning، نويسنده , , Chongyang and He، نويسنده , , Yong and Wu، نويسنده , , Min and Liu، نويسنده , , Qingping and She، نويسنده , , Jinhua، نويسنده ,
Issue Information :
ماهنامه با شماره پیاپی سال 2012
Abstract :
This study investigated the input-to-state stability (ISS) and integral ISS (iISS) of nonlinear systems and discovered new sufficient conditions for them. These conditions are more relaxed than others in that they employ an indefinite Lyapunov function rather than a negative definite one. Thus, a nonlinear time-varying system satisfying them has uniform asymptotic stability. Two numerical examples show their effectiveness and advantages.
Keywords :
lyapunov function , Nonlinear systems , Time-varying system , Input-to-state stability (ISS) , Input-to-state stable (ISS) , Integral input-to-state stability (iISS) , Negative definite , Integral input-to-state stable (iISS)
Journal title :
Systems and Control Letters
Journal title :
Systems and Control Letters
