Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  establishes an explicit relationship beten stability conditions for slowly time-varying linear systems and switched linear systems. The concept of total variation of a matrix-valued function is introduced to characterize the variation of the system matrix. Using this concept, a result generalizing existing stability conditions for slowly time-varying linear systems is derived. As a special case of this result, it is shown that a switched linear system is globally exponentially stable if the average dll time of the switching signal is large enough, which qualitatively matches known results in the literature.
['Xiaobin Gao', 'Daniel Liberzon', 'Ji Liu', 'Tamer Basar']
I am writing a research paper on a idea Connections between stability conditions for slowly time-varying and switched linear systems
[{"from": "human", "value": "I am writing a research paper on a idea Connections between stability conditions for slowly time-varying and switched linear systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  establishes an explicit relationship beten stability conditions for slowly time-varying linear systems and switched linear systems. The concept of total variation of a matrix-valued function is introduced to characterize the variation of the system matrix. Using this concept, a result generalizing existing stability conditions for slowly time-varying linear systems is derived. As a special case of this result, it is shown that a switched linear system is globally exponentially stable if the average dll time of the switching signal is large enough, which qualitatively matches known results in the literature."}]