Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Piecewise affine (PWA) systems are autonomous systems with discontinuous vector fields which are affine ordinary differential equations at the points of continuity. These systems have applications to many fields of engineering, including systems biology and traffic engineering.  define what it means for a PWA system to be monotone, and  provide a set of sufficient conditions for monotonicity of PWA systems with hyperrectangular invariants. Such sufficient conditions are useful for understanding the dynamics of such PWA systems and for designing controllers for qualitative, reference tracking.  apply these results towards the drug-discovery problem for the cancer-related p53 pathway.
['Anil Aswani', 'Claire J. Tomlin']
I am writing a research paper on a idea Monotone Piecewise Affine Systems
[{"from": "human", "value": "I am writing a research paper on a idea Monotone Piecewise Affine Systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Piecewise affine (PWA) systems are autonomous systems with discontinuous vector fields which are affine ordinary differential equations at the points of continuity. These systems have applications to many fields of engineering, including systems biology and traffic engineering.  define what it means for a PWA system to be monotone, and  provide a set of sufficient conditions for monotonicity of PWA systems with hyperrectangular invariants. Such sufficient conditions are useful for understanding the dynamics of such PWA systems and for designing controllers for qualitative, reference tracking.  apply these results towards the drug-discovery problem for the cancer-related p53 pathway."}]