Robust stabilization for a class of uncertain nonlinear dynamical systems

The problem of robust stabilization for a class of uncertain nonlinear dynamical systems is discussed. Under the assumption about which nominated system (i.e. the system in the absence of uncertainty) can be stabilized, some sufficient conditions on robust stabilization of uncertain nonlinear dynamical systems are derived. The Bellman-Gronwall inequality and some analytical methods have been used to investigate these sufficient conditions. An example is given to demonstrate the validity of the results obtained