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A class of nonlinear system for lighting retrofit

Natural decay has significant deterioration on the performance of light. In a lighting retrofit project, new lights are installed to overcome the population decay. Current models of natural decay cannot reflect the population dynamics driven by incremental retrofit and maintenance. To cope with such a task, a new decay model is formulated, which represents a class of nonlinear system. As a nonlinear benchmark, adaptive control laws are designed to make stable performance improvement. This new model is verified based on empirical data, and the results of adaptive control indicate that the number working lamps can converge to a required value.