STABILITY OF A MATRIX POLYNOMIAL IN CONTINUOUS SYSTEMS

作     者：AHN, SM 

作者机构：Consair Division General Dynamics San Diego CA USA 

出 版 物：《IEEE TRANSACTIONS ON AUTOMATIC CONTROL》 (IEEE Trans Autom Control)

年 卷 期：1983年第28卷第7期

页      面：799-801页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 0811[工学-控制科学与工程] 

主　　题：Stability Polynomials Continuous time systems Symmetric matrices Differential equations Parameter estimation Convergence Automatic programming Optimal control Sufficient conditions 

摘      要：Two sufficient conditions under which the roots of the determinant of a given ( m \times m ) matrix polynomial of n th order lie in the open left-half plane have been obtained. The first condition is given in terms of the positive definiteness of an ( mn \times mn ) symmetric matrix, while the second condition is given in terms of the positive definiteness of an ( m \times m ) matrix that is a function of s , Re s \leq 0 . These conditions are represented in terms of rational functions of the coefficient matrices of the given matrix polynomial. Therefore, the explicit computation of the determinant polynomial is not required.