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• W2060578001 abstract "We consider differentiability with respect to the switch times of the value function of an optimal control problem for a non-autonomous switched system. The control variables are the switch times between the modes and the input in each mode. We provide a method to compute the derivative of the cost function given a nominal input. Then, we view the optimal control problem as a parametrized optimization problem in which the switch times are the parameters and the optimization is over the set of feasible inputs of each mode. From this point of view, we provide conditions under which the continuity and differentiability of the optimal value function, that is the cost function optimized over the inputs, can be guaranteed." @default.
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• W2060578001 date "2012-06-01" @default.
• W2060578001 modified "2023-09-27" @default.
• W2060578001 title "On optimal control of non-autonomous switched systems with a fixed mode sequence" @default.
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• W2060578001 doi "https://doi.org/10.1016/j.automatica.2012.03.019" @default.
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