Existence and boundedness of solutions of nonlinear non symmetric Riccati equations and their application in robust control Hatem Elloumi

This paper deals with nonlinear non symmetric Riccati equations which integrate a negative linear term involving a scalar gain. This type of equations is recurrent when dealing with computed torque schemes and may be used for other applications in control theory. We show that if the gain is beyond a given threshold (depending on the matrices involved in the system) then there exists a bounded solution over the whole positive times.