Criteria of asymptotic stability of differential inclusions and periodic motions of time-varying nonlinear control systems

Author(s):  
E.S. Pyatnitskiy ◽  
L.B. Rapoport
Author(s):  
Oleg Palumbíny ◽  
Martin Neštický

AbstractThe paper deals with a certain class of nonautonomous ordinary third-order nonlinear differential equations L3y=f(t,L0y,L1y,L2y) with quasi-derivatives. A criterion of asymptotic stability in Liapunov sense as well as a criterion of instability in Liapunov sense is derived. The results are illustrated by two examples.


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