A.I. Kalinin, L.I. Lavrinovich, Small parameter method for optimization of singularly perturbed dynamical systems, Vol. 2023 (2023), Article ID 4, pp. 1-10

Full Text: COT20234
DOI: 10.23952/cot.2023.4

Received September 20, 2022; Accepted October 20, 2022; Published Januar 31, 2023

 

Abstract. An overview of the results obtained for optimization problems of singularly perturbed systems in Minsk by the optimal control research group is given. All the methods reviewed in the paper share the same research methodology that is based on the idea of a finite dimensional parametrization of the solution of the optimal control problem. The range of problems considered include problems with scalar and multidimensional control inputs, time-optimal and terminal control problems, problems with linear terminal state constraints, and quadratic performance indices.

 

How to Cite this Article:
A.I. Kalinin, L.I. Lavrinovich, Small parameter method for optimization of singularly perturbed dynamical systems, Commun. Optim. Theory 2023 (2023) 4.