Practical stabilization of uncertain dynamical systems by continuous state feedback based on Riccati equation and a sufficient condition for robust practical stability

A set of continuous state-feedback control laws for practical stabilization of a class of uncertain nonlinear dynamical systems is presented. A set of asymptotically stabilizing controllers is given for a subclass of systems. Sufficient conditions for practical and asymptotic stability in the presence of nonlinear uncertainty and disturbances are also given. Matrix Riccati equations are used to design the control laws and to describe the sufficient conditions, and a Lyapunov theorem is used to prove the results. Matching conditions are not required for the state-dependent nonlinearity.<
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