Asymptotic Stability of Nonlinear Systems with Holomorphic Structure
Asymptotic Stability of Nonlinear Systems with Holomorphic Structure
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Date
1990
Authors
Dayawansa, Wijesuriya P.
Martin, C.F.
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Abstract
We consider the local asymptotic stability of a system dx/dt = F(z), z = C sup n , F : C sup n - C sup n is holomorphic, t R, and show that if the system is locally asymptotically stable at some equilibrium point in the N sup th approximation for some N , then necessarily its linear part is asymptotically stable also.