2020/08/31 by Noboru Sakamoto, Sakamoto, Noboru
Biochemistry, Genetics and Molecular Biology · Engineering · #FOS: Mathematics #Microbial metabolism and enzyme function #Optimization and Control (math.OC) #Spacecraft Dynamics and Control
paper · pdf · doi:10.48550/arxiv.2008.13387
openalex publication_date 2020/08/31 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
The paper addresses an existence problem for infinite horizon optimal control when the system under control is exponentially stabilizable or stable. Classes of nonlinear control systems for which infinite horizon optimal controls exist are identified in terms of stability, stabilizability, detectability and growth conditions. The result then applies to estimate the existence region of stable manifolds in the associated Hamiltonian systems. Applications of the results also include the analysis for turnpike property in nonlinear finite horizon optimal control problems by a geometric approach.