Nonlinear time-varying feedback systems: ℒp-stability [1 ≤ p ≤ ∞]

An Lp-stability criterion [ ] is given for a multi-input multi-output feedback system characterized by the functional equation , when the linear operator is a convolution, whose kernel includes a sequence of delta functions, a polynomial term, and a finite number of increasing exponential terms, and when the nonlinear time-varying operator is memoryless. When , the primary ingredient of the criterion is a frequency-domain condition on the linear part of the system. This frequency-domain condition is the critical disk criterion when the system has only one input and one output.