Stability Criteria Based on Generalized Positive Definite
In this paper we consider necessary and sufficient conditions for the stability of linear time invariant(LTI) systems and linear time varying(LTV) systems. Stability results based on generalized positive definite are derived. Two necessary and sufficient conditions of stability, in terms of generalized positive definite of matrices, for the class of linear time invariant systems which possess real eigenvalues is presented. The incorrect criteria based on generalized positive definite are pointed and corrected. The formulated reason of incorrect criteria is analyzed. Utilizing this result, the problem of stability of linear time varying systems via generalized positive definite is converted into linear matrix inequalities (LMI) techniques. Based on the same idea, the special issues of stability criteria of LTV systems has been discussed and the differences between LTI systems and LTV systems also been dealt with by several examples.
Generalized Positive Definite Stability Criteria Linear Time Varying Systems
Xuefeng Zhang
School of Sciences, Northeastern University, Shenyang, 110004
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
2391-2394
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）