In this note we discuss the problem of transforming certain infinite matrices into theJordan normal forms over an uncountable algebraically closed field or a finite field.The mainmethod is compactness arguments throug...In this note we discuss the problem of transforming certain infinite matrices into theJordan normal forms over an uncountable algebraically closed field or a finite field.The mainmethod is compactness arguments through which one can connect properties of finite andinfinite matrices.The basis of these arguments is a result of Abian and the compactnesstheorem of model theory.展开更多
The absolute stability of a class of indirect control systems was studied by applying the theory of Hermitian quadratic form and Jordan normal form. The algebraic formal criteria for the absolute stability are establi...The absolute stability of a class of indirect control systems was studied by applying the theory of Hermitian quadratic form and Jordan normal form. The algebraic formal criteria for the absolute stability are established, and these results are new and useful.展开更多
基金supported by the National Natural Science Foundation of China.
文摘In this note we discuss the problem of transforming certain infinite matrices into theJordan normal forms over an uncountable algebraically closed field or a finite field.The mainmethod is compactness arguments through which one can connect properties of finite andinfinite matrices.The basis of these arguments is a result of Abian and the compactnesstheorem of model theory.
文摘The absolute stability of a class of indirect control systems was studied by applying the theory of Hermitian quadratic form and Jordan normal form. The algebraic formal criteria for the absolute stability are established, and these results are new and useful.
