Stability Analysis of Complex-Valued Nonlinear Differential System

Abstract EN

This paper studies the stability of complex-valued nonlinear differential system.

The stability criteria of complex-valued nonlinear autonomous system are established.

For the general complex-valued nonlinear non-autonomous system, the comparison principle in the context of complex fields is given.

Those derived stability criteria not only provide a new method to analyze complex-valued differential system, but also greatly reduce the complexity of analysis and computation.