Author | Krasovskii, A. N. author |
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Title | Control Under Lack of Information [electronic resource] / by A. N. Krasovskii, N. N. Krasovskii |
Imprint | Boston, MA : Birkhรคuser Boston, 1995 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-2568-3 |
Descript | 322 p. online resource |
Content -- I. Pure Strategies for Positional Functionals -- 1. A model problem -- 2. A model problem for mixed strategies -- 3. Equation of motion -- 4. The positional quality index -- 5. Pure positional strategies -- 6. Statement of the problem -- 7. An auxiliary w-object -- 8. Accompanying points. An extremal shift -- 9. Existence of the Solution.(Value of the game. Optimal strategies) -- II. Stochastic Program Synthesis of Pure Strategies for a Positional Functional -- 10. Differential games for typical functionals ?(1) and ?(2) -- 11. Approximating functionals -- 12. Stochastic program maximins ?*(1)(ยท) and ?*(2)(ยท) -- 13. Recurrent construction for the program extremum (i)(ยท) -- 14. Recurrent construction for the program extremum e*(2)(ยท) -- 15. Condition of u-stability for the program extremum e*(1)(ยท) -- 16. Condition of v-stability for the program extremum e*(1) (ยท) -- 17. Approximating Solution of the differential game for ?(1) -- 18. Construction of optimal approximating strategies -- 19. Conditions of w-stability and v-stability for the program extremum e*(2) (ยท) -- 20. Approximating Solution of the differential game for ?(2) -- III. Pure Strategies for Quasi-Positional Functionals -- 21. Quasi-positional functionals -- 22. The differential game for the functional ?(4) -- 23. Calculation of the approximating value of the game for ?(4) -- 24. Differential games with the functional ?(3) -- 25. Constructions of approximating optimal strategies for ?(3) -- 26. Differential games for the functionals ?(i), i = 5 , . . . , 8 -- 27. Construction of approximating optimal strategies for games with functionals ?(i), i = 5 , . . . , 8 -- 28. Example of constructing the optimal strategies for ?(i) -- 29. Example with a quadratic quality index -- 30. Examples of constructing optimal strategies for positional functionals -- 31. Examples of constructing optimal strategies for quasi-positional functionals -- IV. Mixed Strategies for Positional and Quasi-Positional Functionals -- 32. Mixed strategies Su and Sv -- 33. The motions xsu,v [ยท] and xsv,u [ยท] -- 34. Statement of the problem in the class of mixed strategies. Existence of the Solution -- 35. Constructions of the values e(s)*1(ยท) and e(s)*2(ยท) -- 36. Construction of approximating optimal strategies Sua and Sva -- 37. Example with mixed strategies -- 38. The second example with mixed strategies