定理验证 meaning in English

theorem proving

In second , using this method , we discuss the exponential stability of switched nonlinear systems and give the sufficient conditions of stability ; furthermore , exponential stability of a class of switched systems with uncertainty is investigated . mean while , we may translate theorem test into the lmis problem . in the end , simulation examples are given to show the validity of the result
首先介绍了多lyapunov函数方法以及前人应用该方法取得的一些结果，并对这些结果进行比较说明；其次，我们应用多lyapunov函数方法研究了一类切换系统的指数稳定性，得到了系统指数稳定的充分条件，并将结果推广到带有不确定性的切换系统中，然后将定理验证转化为lmis问题，使得定理充分条件成为较易检验的代数条件，最后用仿真和数值例子说明了结果的正确有效性。