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For a class of nonlinear nonconvex impulsive control problems with states of bounded variation driven by Borel measures, we derive a new type non-local necessary optimality condition, named impulsive feedback… Click to show full abstract
For a class of nonlinear nonconvex impulsive control problems with states of bounded variation driven by Borel measures, we derive a new type non-local necessary optimality condition, named impulsive feedback maximum principle. This optimality condition is expressed completely within the objects of the impulsive maximum principle (IMP), while employs certain “feedback variations” of impulsive control. The obtained optimality condition is shown to, potentially, discard non-optimal IMP-extrema, and can be viewed as a deterministic non-local iterative algorithm for optimal impulsive control.
Journal Title: Journal of Global Optimization
Year Published: 2020
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