Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Incremental stability describes the asymptotic behavior beten any two trajectories of a dynamical system. Such properties are of interest, for example, in the study of observers or synchronization of chaotic systems. ,  develop the notions of incremental stability and incremental input-to-state stability (ISS) for discrete-time systems.  derive Lyapunov function characterizations for these properties as ll as a useful summation-to-summation formulation of the incremental stability property.
['Duc N. Tran', 'Björn S. Rüffer', 'Christopher M. Kellett']
I am writing a research paper on a idea Incremental stability properties for discrete-time systems
[{"from": "human", "value": "I am writing a research paper on a idea Incremental stability properties for discrete-time systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Incremental stability describes the asymptotic behavior beten any two trajectories of a dynamical system. Such properties are of interest, for example, in the study of observers or synchronization of chaotic systems. ,  develop the notions of incremental stability and incremental input-to-state stability (ISS) for discrete-time systems.  derive Lyapunov function characterizations for these properties as ll as a useful summation-to-summation formulation of the incremental stability property."}]