A Riccati equation approach for 2D stability testing and stabilization

An approach which was derived for 2D system stability testing and associated stabilization is presented. The approach permits the testing of the stability of a given 2D system by solving two decoupled lower-dimensional discrete-time Riccati-type equations. If the two decoupled Riccati equations have positive-definite solutions, then the corresponding 2D system is stable. This considerably reduces the complexity of the numerical problems of other 2D stability tests. The idea has been used in a synthesis technique for 2D stabilization using feedback