Stabilizing nonlinear Markov jump systems with orthogonality between control and nonlinear terms

Summary This article presents conditions to assure the second‐moment stability for a class of nonlinear Markov jump systems. The main assumption requires that the control and nonlinear terms form orthogonal vectors, a novel condition in the context of Markov jump systems. The second‐moment stability is verified through linear matrix inequalities—the conditions account the case in which the Markovian mode is either accessible or inaccessible to the controller. A real‐time automotive application illustrates the potential benefits of our approach.