Geodesic
Optimal observation of multistage systems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 11, pp. 1734-1751 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of optimal observation of a nonlinear step system is considered. The task is to obtain guaranteed estimates of the initial state from given incomplete and inaccurate measurements of the current states. The cases of fixed and unfixed transition times in a step system are examined. Algorithms for solving a posteriori and positional observation problems are proposed. The results are illustrated by examples. 
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N. M. Dmitruk. Optimal observation of multistage systems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 11, pp. 1734-1751. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_11_a4/

[1] Zakharov G. K., “Optimizatsiya stupenchatykh sistem upravleniya”, Avtomatika i telemekhan., 1981, no. 8, 5–9

[2] Zakharov G. K., “Optimizatsiya stupenchatykh sistem s upravlyaemymi usloviyami perekhoda”, Avtomatika i telemekhan., 1993, no. 6, 32–36

[3] Ismailov P. P., Mansimov K. B., “Ob usloviyakh optimalnosti v odnoi stupenchatoi zadache upravleniya”, Zh. vychisl. matem. i matem. fiz., 46:10 (2006), 1758–1770

[4] Rozova V. N., “Optimalnoe upravlenie stupenchatymi sistemami”, Vestnik RUDN. Ser. fiz.-mat. nauki, 2006, no. 1, 27–32

[5] Gabelko K. N., Optimizatsiya mnogoetapnykh protsessov, Avtoref. dis. kand. fiz.-mat. nauk, IGU, Irkutsk, 1975

[6] Balashevich N. V., Louadj K., “Optimization of hybrid systems with varying initial state”, Dinamicheskie sistemy: ustoichivost, upravlenie, optimizatsiya, Sb. tez. dokl. mezhd. konf., k 90-letiyu so dnya rozhdeniya akademika E. A. Barbashina (Minsk, 29 sent.–4 okt. 2008), Inst. matem. NAN Belarusi, Mn., 2008, 16

[7] Xu X., Antsaklis P. J., “Results and perspectives on computational methods for optimal control of switched systems”, Hybrid Systems: Computation and Control, LNCS, 2623, Springer, 2003, 540–555

[8] Gabasov R., Dmitruk N. M., Kirillova F. M., “Optimalnoe upravlenie mnogomernymi sistemami po netochnym izmereniyam ikh vykhodnykh signalov”, Tr. In-ta matematiki i mekhaniki UrO RAN, 10, no. 2, 2004, 33–57

[9] Gabasov R., Dmitruk N. M., Kirillova F. M., “Optimalnoe nablyudenie za nestatsionarnymi dinamicheskimi sistemami”, Izv. RAN. Teoriya i sistemy upravleniya, 2002, no. 2, 35–46

[10] Gabasov R., Dmitruk N. M., Kirillova F. M., “Optimalnoe uslovno-otnositelnoe nablyudenie nestatsionarnykh lineinykh sistem”, Prikl. matem. i mekhan., 68:4 (2004), 586–601

[11] Balashevich N. V., Gabasov R., Kirillova F. M., “Chislennye metody programmnoi i pozitsionnoi optimizatsii lineinykh sistem upravleniya”, Zh. vychisl. matem. i matem. fiz., 40:6 (2000), 838–859

[12] Dmitruk N. M., “Numerical methods for optimal observation of nonlinear dynamical systems”, Int. J. Appl. Comput. Math., 9:1 (2010), 31–46

[13] Kalinin A. I., Asimptoticheskie metody optimizatsii vozmuschennykh dinamicheskikh sistem, UP Ekoperspektiva, Minsk, 2000

[14] Gabasov R., Kirillova F. M., Tyatyushkin A. I., Konstruktivnye metody optimizatsii, v. 1, Lineinye zadachi, Universitetskoe, Minsk, 1984