On an Application of the Absolute Stability Theory to Sampled-Data Stabilization

Alexander N. Churilov
2018 Mathematical Problems in Engineering  
A nonlinear Lur'e-type plant with a sector bound nonlinearity is considered. The plant is stabilized by a discrete-time feedback signal with a nonperiodic uncertain sampling. The sampling control function is nonlinear and also obeys some sectoral constraints at discrete (sampling) times. The linear matrix inequality (LMI) conditions for the stability of the closed-loop system are obtained.
doi:10.1155/2018/3169609 fatcat:bjoz6b4ai5gqtfguqkjmmwiimm