State-dependent LMI control of discrete-time nonlinear systems

The work contains several linear matrix inequality (LMI) formulations for various control design problems posed for discrete-time nonlinear systems given in state-space form. These formulations include important state feedback control design problems such as stabilization, placing a bound on the L/sub 2/-L/sub 2/ gain, a bound on the L/sub 2/-L/sub /spl infin// gain, and rendering the system dissipative. Each problem is formulated using LMIs that need to be solved at each time step of the control horizon.