Acta Mathematica Vietnamica
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LYAPUNOV STABILITY OF NONLINEAR TIME-VARYING DIFFERENTIAL EQUATIONS
TRAN TIN KIET, VU NGOC PHATpp. 231-249
Abstract
The paper studies asymptotic stability of nolinear time-varying differential equations by Lyapunov's direct method. Sufficient conditions for asymptotic stability are given in terms of nondifferentiable Lyapunov-like functions. An application to stabilizability of a class of nonlinear control systems with feedback controls is also given.