We analyze a class of inverse parametric problems for dynamic processes described by systems of ordinary differential equations whose form and piecewise-constant parameters depend on what subdomain in the state space the state of the process belongs to.
Similar content being viewed by others
References
L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes [in Russian], Fizmatgiz, Moscow (1961).
V. A. Troitskii, “Variational problems of control optimization for equations with discontinuous right-hand sides,” PMM, 26, Issue 2, 20–29 (1962).
V. V. Velichenko, “Optimal control problems for equations with discontinuous right-hand sides,” Avtomatika i Telemekhanika, No. 7, 20–29 (1966).
A. E. Bryson and Yu-Chi Ho, Applied Optimal Control: Optimization, Estimation, and Control, Blaisdell, Waltham (1969).
T. Tadumadze and A. Arsenashvili, “Optimal control of delayed variable structure systems with discontinuous initial conditions,” in: 1st Intern. Conf. on Control and Optimization with Industrial Appl., Baku (2005), p. 92.
R. F. Gabasov and F. M. Kirillova, The Maximum Principle in Optimal Control Theory [in Russian], Nauka Tekhn., Minsk (1974).
B. M. Ermol'ev and V. P. Gulenko, “Finite-difference method in optimal control problems,” Kibernetika, No. 3, 1–20 (1967).
Yu. G. Evtushenko, Methods for Solving Extreme Problems and Their Application in Optimization Systems [in Russian], Nauka, Moscow (1982).
K. R. Aida-Zade, “Analysis and numerical solution of finite-difference approximations of optimal control problems for distributed systems,” Zh. Vych. Mat. Mat. Fiz., No. 3, 346–354 (1989).
K. R. Aida-Zade and Yu. G. Evtushenko, “Fast automatic differentiation on a computer,” Matematich. Modelirovanie, No. 1, 121–139 (1989).
K. R. Aida-Zade and S. Z. Kuliev, “A control synthesis problem for nonlinear systems,” Avtomatika Vych. Tekhnika, No. 1, 15–23 (2005).
S. Z. Guliev, “On a problem of parametrical identification of a dynamical system,” in: 6th Intern. ISAAC Congress, Ankara (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
The study was supported by the INTAS (Project No. 06-1000017-8909).
Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 142–152, November–December 2008.
Rights and permissions
About this article
Cite this article
Aida-Zade, K.R., Kuliev, S.Z. A class of inverse problems for discontinuous systems. Cybern Syst Anal 44, 915–924 (2008). https://doi.org/10.1007/s10559-008-9064-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10559-008-9064-2