Ouyang, HuaPetersen, Ian R.Ugrinovskii, Valery2026-07-032026-07-0397814244387160743-1546ORCID:/0000-0003-4856-9450/work/219177657https://hdl.handle.net/1885/733812349This paper studies the problem of control of pendulum-like nonlinear systems to achieve closed-loop Lagrange stability. A state feedback pseudo-H∞ control theory is developed. In a similar fashion to the strict bounded real lemma in H∞ control theory, a strict pseudo-bounded real lemma is established. A sufficient condition for the synthesis of the state feedback pseudo-H∞ control is given, which is also applied to the control of pendulum-like nonlinear systems.7enLagrange stabilityPendulum-like nonlinear systemStrict Pseudo-bounded real lemma200910.1109/CDC.2009.539968677950850727