“…By definition By repeated application of the inverse triangle inequality and utilizing the observability condition, we obtain the inequality By the Lipschitz continuity of , we obtain the inequality (13) where the existence of the K-function follows from Fact 2.2. By the Lipschitz continuity of , (11a), and (12a), we obtain the inequality Likewise, By the Lipschitz continuity of , (11b), and (12b), we obtain the inequality Substituting into (13), we obtain the inequality Substituting the aforementioned expressions in (10), we obtain the inequality Collectively defining the terms on the right hand side of the inequality as a function , we obtain the following bound of the estimation error: Facts 2.2 and 2.3 guarantee is K-function as it is a positive linear combination and composition of the K-functions and .…”