Optimization of Bilinear Control Systems Subjected to Exogenous Disturbances. III. Robust Formulations

In this paper, design problems are considered for bilinear control systems subjected to arbitrary-but-bounded exogenous disturbances and containing structured matrix uncertainty. We formulate and solve the problem of efficient construction of robust stabilizability ellipsoids and the domain of robust stabilizability of bilinear systems, both in continuous and discrete time; the basic tool is the linear matrix inequality...