Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In previous works the authors proposed to use Hit-and-Run versions of Markov-chain Monte-Carlo algorithms for various problems of control and optimization.   focus on robust stabilization applications of the method. The crucial notion for this algorithm is a Boundary Oracle (BO), and  start with constructing BO for robustness problems, including robust stability of polynomials and robust LMIs. Numerical results for various control applications are presented. In particular,  consider a problem arising in control of helicopters. Simulations confirm that the randomized approach can be an effective tool for solving robust stability and robust stabilization problems.
['B. T. Polyak', 'Elena N. Gryazina']
I am writing a research paper on a idea Robust stabilization via Hit-and-Run techniques
[{"from": "human", "value": "I am writing a research paper on a idea Robust stabilization via Hit-and-Run techniques"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In previous works the authors proposed to use Hit-and-Run versions of Markov-chain Monte-Carlo algorithms for various problems of control and optimization.   focus on robust stabilization applications of the method. The crucial notion for this algorithm is a Boundary Oracle (BO), and  start with constructing BO for robustness problems, including robust stability of polynomials and robust LMIs. Numerical results for various control applications are presented. In particular,  consider a problem arising in control of helicopters. Simulations confirm that the randomized approach can be an effective tool for solving robust stability and robust stabilization problems."}]