Dear Editor,The distribution of eigenvalues,i.e.,the zeros of the characteristic functions of linear time-invariant(LTI)systems,is of great significance for analyzing and synthesizing the performance of these systems....Dear Editor,The distribution of eigenvalues,i.e.,the zeros of the characteristic functions of linear time-invariant(LTI)systems,is of great significance for analyzing and synthesizing the performance of these systems.The research on the distribution of eigenvalues mainly focuses on the determination of the number of zeros of polynomials or quasipolynomials in a fixed region of the entire complex plane,where the determination of the distribution of zeros of quasi-polynomials has always been a challenging issue[1],[2].Recently,several results on the determination of the number of zeros of a class of quasi-polynomials in the open right-half complex plane were derived in[3],where the quasi-polynomials can be neutral type with complex(real)coefficients.展开更多
基金supported by the National Natural Science Foundation of China(NSFC)(62473085 and 61703086)the IAPI Fundamental Research Funds(2018ZCX27)
文摘Dear Editor,The distribution of eigenvalues,i.e.,the zeros of the characteristic functions of linear time-invariant(LTI)systems,is of great significance for analyzing and synthesizing the performance of these systems.The research on the distribution of eigenvalues mainly focuses on the determination of the number of zeros of polynomials or quasipolynomials in a fixed region of the entire complex plane,where the determination of the distribution of zeros of quasi-polynomials has always been a challenging issue[1],[2].Recently,several results on the determination of the number of zeros of a class of quasi-polynomials in the open right-half complex plane were derived in[3],where the quasi-polynomials can be neutral type with complex(real)coefficients.