DYKhTA VLADIMIR ALEKSANDROVICh (1949–2025)
- Authors: Morzhin O.V1
-
Affiliations:
- Issue: No 10 (2025)
- Pages: 115-126
- Section: Notes, meetings, information
- URL: https://bakhtiniada.ru/0005-2310/article/view/321428
- ID: 321428
Cite item
Abstract
References
- Dykhta V.A. Impulse-trajectory extension of degenerate optimal control problems // The Lyapunov Functions Method and Applications; Ed. by P. Borne, V. Matrosov // IMACS Ann. Comput. Appl. Math. V. 8. J.C. Baltzer A.G., 1990. P. 103–109.
- Dykhta V. Optimality conditions for impulsive processes and its applications // IFAC Proc. Volumes. 1996. V. 29. Iss. 1. P. 1786–1791. https://doi.org/10.1016/S1474-6670(17)57928-8
- Dykhta V. Second order necessary optimality conditions for impulse control problem and multiprocesses // IFAC Proc. Volumes. 1997. V. 30. Iss. 10. P. 97–101. https://doi.org/10.1016/S1474-6670(17)43112-0
- Derenko N., Dykhta V., Rodnina E., Chouprova O. Optimal impulsive control problem and variational maximum principle // 1997 European Control Conf. P. 1125–1128. https://doi.org/10.23919/ECC.1997.7082250
- Dykhta V., Sumsonuk O. A maximum principle for optimal impulsive processes and it's application // Там же. P. 1129–1133. https://doi.org/10.23919/ECC.1997.7082251
- Dykhta V.A., Samsonuk O.N. Necessary conditions for nonsmooth optimal impulse control problem with intermediate constraints // Proc. 2001 European Control Conf. (Porto, 2001). P. 929–933. https://doi.org/10.23919/ECC.2001.7076031
- Dykhta V., Antipina N. Applications of variational maximum principle to optimization models with discontinuous trajectories // IFAC Proc. Volumes, 2001. V. 34. Iss. 6. P. 583–587. https://doi.org/10.1016/S1474-6670(17)35240-0
- Dykhta V., Samsonuk O. Maximum principle for nonsmooth optimal impulse problems // Там же. Р. 1303–1307. https://doi.org/10.1016/S1474-6670(17)35367-3
- Aguiar A., Dykhta V., Pereira F. First and second order necessary conditions of optimality for impulsive control problems // 42nd IEEE Intern. Conf. Decision Control (2003). 2004. P. 6357–6362. https://doi.org/10.1109/CDC.2003.1272331
- Aguiar A., Dykhta V., Kaganovich G., Pereira F. Necessary optimality conditions for impulsive control problems // IFAC Proc. Volumes. 2004. V. 37. Iss. 17. P. 2–12. https://doi.org/10.1016/S1474-6670(17)30792-9
- Aguiar A., Dykhta V., Pereira F.L. Necessary conditions for impulsive nonlinear optimal control problems without a priori normality assumptions // J. Optim. Theory Appl. 2005. V. 124. Iss. 1. P. 55–77. https://doi.org/10.1007/s10957-004-6465-x
- Dykhta V., Samsonyuk O. Some applications of Hamilton–Jacobi inequalities for classical and impulsive optimal control problems // European J. Control. 2011. V. 17. Iss. 1. P. 55–69. https://doi.org/10.3166/ejc.17.55-69
- Dykhta V.A. Hamilton–Jacobi inequalities for optimal impulsive control problems // IFAC Proc. Volumes. 2011. V. 44. Iss. 1. P. 6816–6821. https://doi.org/10.3182/20110828-6-IT-1002.02738
- Dykhta V.A., Samsonyuk O.N. Optimality conditions with feedback controls for optimal impulsive control problems // IFAC-PapersOnLine. 2018. V. 51. Iss. 32. P. 509–514. https://doi.org/10.1016/j.ifacol.2018.11.472
- Dykhta V., Sorokin S. Feedback minimum principle for optimal control problems in discrete-time systems and its applications // Proc. 18th Intern. Conf. MOTOR (Russia, 2019). Cham: Springer, 2019. P. 449–460. https://doi.org/10.1007/978-3-030-22629-9_31
- Dykhta V.A. Approximate feedback minimum principle for suboptimal processes in non-smooth optimal control problems // Proc. Intern. Conf. SCDG 2019 (Russia). Cham: Springer, 2020. P. 127–132. https://doi.org/10.1007/978-3-030-42831-0_12
Supplementary files
