A discussion of generalized routh-hurwitz conditions for nonlinear systems

The second method of Liapunov is used to establish global asymptotic stability for certain nonlinear differential equations. On the basis of results obtained it is found that criteria, similar to the usua Routh-Hurwitz criteria for linear systems, can be established for rather general nonlinear systems. The results of other authors´ investigations are discussed in view of the variable gradient method of generating Liapunov functions, and the results extended to the case of a third-order control system with numerator dynamics; they are of practical interest.