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@article{488378, author = {Hilscher, Roman and Zeidan, Vera}, article_location = {San Diego (USA)}, article_number = {2}, keywords = {discrete maximum principle; discrete Hamiltonian system; discrete quadratic functional; accesory problem; optimality conditions; Jacobi system; conjugate interval; controllability}, language = {eng}, issn = {0022-247X}, journal = {Journal of Mathematical Analysis and Applications}, title = {Discrete optimal control: the accessory problem and necessary optimality conditions}, volume = {243}, year = {2000} }
TY - JOUR ID - 488378 AU - Hilscher, Roman - Zeidan, Vera PY - 2000 TI - Discrete optimal control: the accessory problem and necessary optimality conditions JF - Journal of Mathematical Analysis and Applications VL - 243 IS - 2 SP - 429-452 EP - 429-452 PB - Academic Press SN - 0022247X KW - discrete maximum principle KW - discrete Hamiltonian system KW - discrete quadratic functional KW - accesory problem KW - optimality conditions KW - Jacobi system KW - conjugate interval KW - controllability N2 - In this work we derive the accessory problem for a general nonlinear discrete optimal control problem. We obtain necessary conditions for optimality -- nonnegativity of the second variation. As the second variation is a discrete quadratic functional, we proceed by deriving necessary conditions for the nonnegativity of such functionals. Certain controllability (or normality) assumption is required. ER -
HILSCHER, Roman a Vera ZEIDAN. Discrete optimal control: the accessory problem and necessary optimality conditions. \textit{Journal of Mathematical Analysis and Applications}. San Diego (USA): Academic Press, 2000, roč.~243, č.~2, s.~429-452. ISSN~0022-247X.
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