Robustness of Uncertain Switching Nonlinear Feedback Systems against Large Time-Variation

For a non-linear MIMO feedback system, the robustness against uncertain time-variations in the feedback loop is investigated in an input-output framework. A general sufficient condition in terms of a bound on average rates of time-variation for the system to be stable is derived. The condition gives a tolerable limit on infrequent large variations or slow time-variation rate of a non-linear MIMO adaptive switching system.Comment: 12 pages, 10 figures, submitted to IEEE Trans. Automatic Contro