摘要
对于一类广义离散时变系统,通过Lyapunov方程的建立,给出了系统因果且渐近稳定的充分必要条件。接着利用Lyapunov不等式进一步研究了系统的稳定性问题,同时给出了系统因果且渐近稳定的另一个充分必要条件,该方法使得判断系统的稳定性更为方便。最后,给出了应用上述方法的具体步骤,通过举例说明了所得结果的正确性。
The necessary and sufficient condition is obtained for causality and asymptotic stability of singular discrete time-varying systems by establishing Lyapunov equation. Following, the stability of the systems is studied via Lyapunov inequality. At the same time, the other necessary and sufficient condition is obtained for causality and asymptotic stability of the systems. This method makes more convenient to prove the stability of systems. Finally the detailed steps of the above method are given and some examples are given to illustrate the correctness of the obtained results.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2007年第8期1342-1345,共4页
Systems Engineering and Electronics
基金
国家自然科学基金资助课题(60574011)
