Some singular characteristics of analytic functions with positive definiteness are considered. To avoid these singular cases, the finite truncate condition is proposed. When the finite truncate condition is satisfied,...Some singular characteristics of analytic functions with positive definiteness are considered. To avoid these singular cases, the finite truncate condition is proposed. When the finite truncate condition is satisfied, the positive definiteness of an analytic function can be judged by the partial sum of its Taylor series, i e , by a polynomial. This discussion will be useful in the construction of Lyapunov functions for nonlinear systems. 展开更多
文摘Some singular characteristics of analytic functions with positive definiteness are considered. To avoid these singular cases, the finite truncate condition is proposed. When the finite truncate condition is satisfied, the positive definiteness of an analytic function can be judged by the partial sum of its Taylor series, i e , by a polynomial. This discussion will be useful in the construction of Lyapunov functions for nonlinear systems.
