Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   propose a compositional scheme for the construction of abstractions for networks of control systems using the interconnection matrix and joint dissipativity-type properties of subsystems and their abstractions. In the proposed framework, the abstraction, itself a control system (possibly with a lor dimension), can be used as a substitution of the original system in the controller design process. Moreover,  provide a procedure for constructing abstractions of a class of nonlinear control systems by using the bounds on the slope of system nonlinearities.  illustrate the proposed results on a network of linear control systems by constructing its abstraction in a compositional way without requiring any condition on the number or gains of the subsystems.  use the abstraction as a substitute to synthesize a controller enforcing a certain linear temporal logic specification. This example particularly elucidates the effectiveness of dissipativity-type compositional reasoning for large-scale systems.
['Majid Zamani', 'Murat Arcak']
I am writing a research paper on a idea Compositional abstraction for networks of control systems: A dissipativity approach
[{"from": "human", "value": "I am writing a research paper on a idea Compositional abstraction for networks of control systems: A dissipativity approach"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   propose a compositional scheme for the construction of abstractions for networks of control systems using the interconnection matrix and joint dissipativity-type properties of subsystems and their abstractions. In the proposed framework, the abstraction, itself a control system (possibly with a lor dimension), can be used as a substitution of the original system in the controller design process. Moreover,  provide a procedure for constructing abstractions of a class of nonlinear control systems by using the bounds on the slope of system nonlinearities.  illustrate the proposed results on a network of linear control systems by constructing its abstraction in a compositional way without requiring any condition on the number or gains of the subsystems.  use the abstraction as a substitute to synthesize a controller enforcing a certain linear temporal logic specification. This example particularly elucidates the effectiveness of dissipativity-type compositional reasoning for large-scale systems."}]