Stability Analysis of Periodic Solutions via Integral Quadratic Constraints (original) (raw)

Abstract

The paper considers stability of periodic solutions in a class of periodically forced nonlinear systems depending on a scalar parameter and subject to disturbances. A result concerning local existence of a family of periodic solutions for such systems is also given. The stability analysis — based on a combined use of linearization techniques and frequency-domain stability criteria expressed via Integral Quadratic Constraints — can be efficiently performed in terms of Linear Matrix Inequalities. An application example is carried out for illustrative purposes.

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