Measure-Driven Nonlinear Dynamic Systems with Applications to Optimal Impulsive Controls

Nasir Uddin Ahmed () and Shian Wang ()
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Nasir Uddin Ahmed: University of Ottawa
Shian Wang: University of Ottawa

Journal of Optimization Theory and Applications, 2021, vol. 188, issue 1, No 2, 26-51

Abstract: Abstract In this paper, we consider a class of nonlinear systems driven by measures generalizing the class of impulsive systems. We use measures as control and prove existence of optimal controls (measures) and present necessary conditions of optimality. We apply the general results to derive necessary conditions of optimality for purely impulse-driven systems. These results are then applied to optimal control problems related to geosynchronous satellites with some numerical results.

Keywords: Impulsive systems; Measures as controls; Existence of solutions; Existence of optimal controls; Necessary conditions of optimality; Practical applications; 34H05; 49J15; 49K15; 93C15; 93C95 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:188:y:2021:i:1:d:10.1007_s10957-020-01769-9

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DOI: 10.1007/s10957-020-01769-9

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