Coyeptes of (h0,h) - (Lipschitz stability, (h0, h) -Lipschitz (weakly) asymptotic stability are introduced for dynamical sytems. Necessary and sufficient conditions are given respectively.
The unified necessary and sufficient conditions for the new notions of (h0, h)-Lipschitz (weak) stability, (h0, h)-Lipschitz asymptotic stability of G.C.S. are given, using Liapunov-like functions.
文摘Coyeptes of (h0,h) - (Lipschitz stability, (h0, h) -Lipschitz (weakly) asymptotic stability are introduced for dynamical sytems. Necessary and sufficient conditions are given respectively.
文摘The unified necessary and sufficient conditions for the new notions of (h0, h)-Lipschitz (weak) stability, (h0, h)-Lipschitz asymptotic stability of G.C.S. are given, using Liapunov-like functions.