Scientific Editor: Tatiana F. Filippova
http://www.imm.uran.ru
Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russian Federation
Head of Department of Optimal Control, Сhief Researcher
PhD (Phys., Math.), Professor
ScopusID: 8691876700
ResearcherID: R-3482-2016
ORCID ID: 0000-0003-3911-1915
Scientific interests: Mathematical Control Theory, Set-Valued Analysis, Theory of Differential Equations, Theory of Differential Inclusions, Convex Analysis
Scientific achievements: Approaches to the study of set-valued motions (trajectory tubes) of certain classes of nonlinear differential systems with uncertainty in dynamics were proposed for the appropriate description of the evolution properties of set-valued states of such systems. This allows to construct external (and, in some cases, internal) estimates of the reachability sets of differential inclusions and control systems with uncertain parameters and disturbances.
Main publications:
- Kurzhanski A.B., Filippova T.F. On the theory of trajectory tubes - a mathematical formalism for uncertain dynamics, viability and control// Advances in Nonlinear Dynamics and Control: A Report from Russia "Progress in Systems and Control Theory" Boston, 1993. P. 122–188. DOI: 10.1007/978-1-4612-0349-0_4
- Filippova T.F. Set-valued solutions to impulsive differential inclusions // Mathematical and Computer Modeling of Dynamical Systems. 2005. Vol. 11, no. 2. P. 149–158. DOI: 10.1080/13873950500068542
- Filippova T.F., Matviychuk O.G. Reachable sets of impulsive control system with cone constraint on the control and their estimates // Lecture Notes in Computer Science, 2012. Vol. 7116. P. 123–130. DOI: 10.1007/978-3-642-29843-1_13
- Filippova T.F. Set-valued dynamics in problems of mathematical theory of control processes // International Journal of Modern Physics B, 2012. Vol. 26, no. 25. P. 1246010. DOI: 10.1142/S0217979212460101
- Filippova T.F. Approximation techniques in impulsive control problems for the tubes of solutions of uncertain differential systems // Springer Proceedings in Mathematics and Statistics "Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012", 2013. P. 385–396. DOI: 10.1007/978-1-4614-6393-1_25
- Filippova T.F., Matviychuk O.G. Estimates of reachable sets of control systems with bilinear–quadratic nonlinearities // Ural Mathematical Journal, 2015. Vol. 1, no. 1. P. 45–54. DOI: 10.15826/umj.2015.1.004
- Filippova T.F. Estimates of reachable sets of control systems with nonlinearity and parametric perturbations // Proceedings of the Steklov Institute of Mathematics, 2016. Vol. 292. № 1. P. 67–75. DOI: 10.1134/S0081543816020061
- Filippova T.F. Estimates of reachable sets of impulsive control problems with special nonlinearity // AIP Conf. Proc., 2016. Vol. 1773, 100004. 10 p. DOI: 10.1063/1.4964998