Frequency criteria for the general absolute stabilization problem (Q1881865)

The absolute output stabilization of some nonlinear systems is a generalization of the concept of absolute stability to controlled systems. Here, the absolute output stabilization of an unstable object under uncertainty in the form of a nonlinear block satisfying general integral quadratic inequalities is investigated. The obtained results admit generalizations to the infinite-dimensional case, in contrast to other approaches involving, for example, matrix factorization.