Optimal Control Problems in Complex Systems: The Combination of Mathematical Modeling and Optimization Strategies

Optimal control in complex systems is a challenging and practical field. Traditional control methods can not meet the needs of complex systems, so mathematical modeling and optimization strategies are needed to improve system performance and stability. The optimal control theory can solve the control problem in complex system effectively and improve the operation efficiency of the system by establishing mathematical model and combining optimization strategy. From mathematical modeling method to hybrid optimization strategy research, this paper discusses the theory and practice of optimal control in depth. In the future, it is necessary to further improve the research methods to solve the uncertainty of complex system models and make greater contributions to realizing more intelligent control schemes.