On Robust and H∞ Controls for a Class of Linear and Bilinear Systems with Nonlinear Uncertainty

This paper is concerned with robust stabilization for linear and bilinear systems with nonlinear uncertainty. By using quadratic Lyapunov functions, our controls guarantee the uniform exponential stability of uncertain systems. Moreover, the controls have a simple structure and are easily handled. Some problems of H∞ control for these systems are also considered. © 1997 Elsevier Science Ltd.