Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Recently Lagrangian relaxation has been used to generate convex approximations of the challenging simulation error minimization problem arising in system identification. ,  present a specialized algorithm to optimize the convex bounds generated by Lagrangian relaxation, applicable to linear state-space models. The algorithm demonstrates superior scalability over general-purpose semidefinite programming solvers. In addition,  show empirically that Lagrangian relaxation is more resilient to a biasing effect commonly observed in other identification methods that guarantee model stability.
['Jack Umenberger', 'Ian R. Manchester']
I am writing a research paper on a idea Specialized algorithm for identification of stable linear systems using Lagrangian relaxation
[{"from": "human", "value": "I am writing a research paper on a idea Specialized algorithm for identification of stable linear systems using Lagrangian relaxation"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Recently Lagrangian relaxation has been used to generate convex approximations of the challenging simulation error minimization problem arising in system identification. ,  present a specialized algorithm to optimize the convex bounds generated by Lagrangian relaxation, applicable to linear state-space models. The algorithm demonstrates superior scalability over general-purpose semidefinite programming solvers. In addition,  show empirically that Lagrangian relaxation is more resilient to a biasing effect commonly observed in other identification methods that guarantee model stability."}]