“…In practice, many mechanical systems are affected by stochastic disturbances which can influence the performance of the control system in an uncertain manner Crandall and Mark (2014); therefore, many pieces of research have been done in the stability analysis Deng et al (2001), Khasminskii (2011), Mao (2007) and control Deng and Krstic (1999); Wu et al (2010), Cui et al (2013) for this kind of systems. Adaptive control methods for different stochastic Lagrangian dynamical systems are presented in Cui et al (2013), Sakha and Shaker (2017), and Sakha et al (2017), which use the concept of exponential practical stability Khasminskii (2011), Mao (2007), Lakshmikantham et al,. (1990).…”