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| - Controllability and Observability of the Photophysical System ofIntermolecular Two-State Excited-State Processes
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| - In this report, we focus on the consequences of controllability and observability on the number of distinctexponential terms in the fluorescence decay and on the identifiability analysis of the photophysical model ofintermolecular two-state excited-state processes. Controllability and observability prove to be useful conceptsin photophysics for exploring methodically the conditions under which intermolecular two-state excited-stateprocesses lead to single-exponential fluorescence δ-response functions. A detailed discussion on the distinctionof the possible origins of monoexponential fluorescence decays is presented. We also show that the similaritytransformation approach to identifiability leads to erroneous conclusions concerning which model parameterscan be identified if this photophysical system is not controllable or not observable. The results obtained forthis relatively simple photophysical system can be extended in a systematic way to more complicatedphotophysical models.
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