Some Criteria for Stability of Time-Varying Interval Matrix;

In this paper,we research stability of unbounded time-varying interval matrix,the sufficient conditions of stability about unbounded time-varying interval matrix and interval matrix decomposed are obtained,the resultS of the paper [1￣2] are extended and improved.

Additionally,the stability of linear timevarying interval matrices and nonlinear time-varying interval matrices is also studied.

Additionally,the stability of linear timevarying interval matrices and nonlinear time-varying interval matrices is also studied.

Robust lower guaranteed cost fault tolerant control for interval matrix systems;

The planar magnetic levitation system was a nonlinear uncertain system,the interval matrix minimum upper bound methods was proposed to design robust control.

Designed state feedback controller with gain is also interval matrix.

Further,by using the technique of matrix eigenvalues boundary,some simple and applicable algebraic criteria of the stability,the instability and the mixed stability for the interval matrices and discrete dynamic systems have been gained.

Considering that the network-induced delay is a constant,which is less than one sampling period,Lyapunov Function,linear matrix inequality(LMI) and interval matrices technique are used to design the local optimal controller gain for state feedback network control systems.