Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Optimal control synthesis in stochastic systems with respect to quantitative temporal logic constraints can be formulated as linear programming problems. Hover, centralized synthesis algorithms do not scale to many practical systems. To tackle this issue,  propose a decomposition-based distributed synthesis algorithm. By decomposing a large-scale stochastic system modeled as a Markov decision process into a collection of interacting sub-systems, the original control problem is formulated as a linear programming problem with a sparse constraint matrix, which can be solved through distributed optimization methods. Additionally,  propose a decomposition algorithm which automatically exploits, if it exists, the modular structure in a given large-scale system.  illustrate the proposed methods through robotic motion planning examples.
['Jie Fu', 'Shuo Han', 'Ufuk Topcu']
I am writing a research paper on a idea Optimal control in Markov decision processes via distributed optimization
[{"from": "human", "value": "I am writing a research paper on a idea Optimal control in Markov decision processes via distributed optimization"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Optimal control synthesis in stochastic systems with respect to quantitative temporal logic constraints can be formulated as linear programming problems. Hover, centralized synthesis algorithms do not scale to many practical systems. To tackle this issue,  propose a decomposition-based distributed synthesis algorithm. By decomposing a large-scale stochastic system modeled as a Markov decision process into a collection of interacting sub-systems, the original control problem is formulated as a linear programming problem with a sparse constraint matrix, which can be solved through distributed optimization methods. Additionally,  propose a decomposition algorithm which automatically exploits, if it exists, the modular structure in a given large-scale system.  illustrate the proposed methods through robotic motion planning examples."}]