Symmetry Properties of States and Costates in Impulsive Control Systems

Weijun Huang ()
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Weijun Huang: The MathWorks, Inc.

Journal of Optimization Theory and Applications, 2014, vol. 160, issue 2, No 12, 597-607

Abstract: Abstract This paper reveals two symmetry properties of the states and costates of a special type of optimal impulsive control problems and, based on these two properties, proposes a new procedure for obtaining the second-order states and costates approximations. It further shows with an example that this procedure is efficient and can be implemented effectively in a computer algebraic system.

Keywords: Impulsive control systems; Symmetry property of states and costates; Successive approximation method; Second-order costates approximations (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10957-013-0404-7

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