Browsing by Author "Martin, C.F."
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Item Asymptotic Stability of Nonlinear Systems with Holomorphic Structure(1990) Dayawansa, Wijesuriya P.; Martin, C.F.; ISRWe 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.Item Asymptotic Stabilization of Low Dimensional Systems(1990) Dayawansa, Wijesuriya P.; Martin, C.F.; ISRThis paper studies the asymptotic stabilization of two and three dimensional nonlinear control systems. In the two dimensional case we review some of our recent work and in the three dimensional case we give some new sufficient conditions and necessary conditions.Item Global Tracking Problem for Minimum Phase Nonlinear Systems(1990) Dayawansa, Wijesuriya P.; Martin, C.F.; Knowles, G.; ISRWe consider the tracking problem for a globally minimum phase nonlinear system. It is assumed that the signal to be tracked is slowly varying and a priori bounds on its magnitude are known. We show that if the system has bounded derivatives and exponentially stable zero dynamics then the system admits an output feedback controller which solves the tracking problem.