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• W2332907011 abstract "The paper is devoted to the $BV$-relaxation of a dynamical system,whose right-hand side is a $p$th degree polynomial with rationalpowers of control under a uniform bound on its $L_p$-norm, andcoefficients containing usual measurable bounded control.   &nbsp Under natural convexity assumptions, we give an explicitrepresentation of generalized solutions to the control system by ameasure differential equation. The main results concern an optimalimpulsive control problem for the relaxed system: We establish theexistence of a minimizer, and give necessary optimality conditionsin the form of a Maximum Principle." @default.
• W2332907011 created "2016-06-24" @default.
• W2332907011 creator A5015098462 @default.
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• W2332907011 date "2015-01-01" @default.
• W2332907011 modified "2023-10-16" @default.
• W2332907011 title "Optimal control of dynamical systems with polynomial impulses" @default.
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• W2332907011 doi "https://doi.org/10.3934/dcds.2015.35.4367" @default.
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