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- W2169264210 abstract "A continuous-discrete control system is studied where the state variable x may have a jump discontinuity at certain times τk. The size of the jump is determined by the actual value of x and the choice of a control parameter zk. Between the jump times, x satisfies an equation ẋ = f(t, x, u(t)) for some choice of the control function u. There may also be constraints on the values x(τk) and the jumps. A cost functional depending on these quantities is to be minimized. Necessary conditions for optimality are derived. This is done by formulating the problem as a special case of a general mathematical programming problem in an infinitedimensional space and applying a general multiplier rule. The times τk may be fixed or allowed to vary. As an application necessary conditions are obtained for a multiprocess problem, i.e., a problem where at τk there is a transition to a different state space." @default.
- W2169264210 created "2016-06-24" @default.
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- W2169264210 date "2009-01-01" @default.
- W2169264210 modified "2023-09-24" @default.
- W2169264210 title "Continuous-discrete optimal control problems" @default.
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