Optimality Conditions in Discrete Optimal Control Problems with State Constraints

REFERENCES

• A.V. Arutyunov ( 1996 ). Second-order conditions in extremal problems with finite-dimensional range. 2-normal maps . Izv. Ross. Akad. Nauk Ser. Mat. 60 ( 1 ): 37 – 62 (English transl. in Izv. Math. 60) .
   Google Scholar
• A.V. Arutyunov ( 2000 ). Optimality Conditions: Abnormal and Degenerate Problems . Kluwer Academic Publishers , Dordrecht .
   Google Scholar
• A.V. Arutyunov and B. Marinkovic ( 2005 ). Necessary conditions for optimality in discrete optimal control problems . Vestnik MGU. Ser. 15. 1 : 43 – 48 (in Russian) .
   Google Scholar
• V.G. Boltyanskii ( 1978 ). Optimal Control of Discrete Systems . Wiley , New York .
   Google Scholar
• A.D. Ioffe and V.M. Tikhomirov ( 1979 ). Theory of Extremal Problems . North-Holland , Amsterdam .
   Google Scholar
• B. Marinković ( 2006 ). Sensitivity analysis for discrete optimal control problems . Math. Met. Op. Res. 63 ( 3 ): 513 – 524 .
   Web of Science ®Google Scholar
• B. Marinković ( 2007 ). Second-order optimality conditions in a discrete optimal control problem . Optimization (to appear) .
   Google Scholar
• A.I. Propoi ( 1973 ). Elements of the Theory of Optimal Discrete Processes . Nauka , Moscow (in Russian) .
   Google Scholar
• R. Hilscher and V. Zeidan ( 2002 ). Second order sufficiency criteria for a discrete optimal control problem . J. Differ. Equations Appl. 8 ( 6 ): 573 – 602 .
   Web of Science ®Google Scholar
• R. Hilscher and V. Zeidan ( 2002 ). Discrete optimal control: second order optimality conditions . J. Differ. Equations Appl. 8 ( 10 ): 875 – 896 .
   Web of Science ®Google Scholar