L_p-Stability of a Class of Volterra Systems

This technical note presents some new and explicit stability results for Volterra systems using two different approaches. The first approach is based on monomial domination of the Volterra system's memoryless output nonlinearity and the second on its Lipschitz-norm. The former yields more widely applicable results, but introduces nonconvexity in the signal spaces to be dealt with for certain parameter values.