Showing papers by "James Taylor published in 1968"

Lyapunov functions for nonlinear time-varying systems

Abstract: For a quite general class of dynamic systems having a single memoryless time-varying nonlinearity in the feedback path some frequency domain stability criteria are developed using Lyapunov's second method. Four classes of nonlinearities are considered, and it is seen that as the behaviour of the nonlinearity is restricted, the stability conditions are relaxed. For the first three classes of non-linearities, the results for time invariant systems are well known, and for two of the classes the result has previously been extended to apply to time-varying situations. The result concerning a significant new class of nonlinearities as well as the extension of the third previously known time-invariant result to cover time-varying systems are original with this paper.