Asymptotic Solution of a Singularly Perturbed Linear-Quadratic Problem in Critical Case with Cheap Control

Author:

Hoai Nguyen Thi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference22 articles.

1. Kurina, G.A.: Singular perturbations of control problems with equation of state not solved for the derivative (a survey). J. Comput. Syst. Sci. Int. 31(6), 17–45 (1993)

2. Dmitriev, M.G., Kurina, G.A.: Singular perturbations in control problems. Autom. Remote Control 67(1), 1–43 (2006)

3. Zhang, Y., Naidu, D.S., Cai, C., Zou, Y.: Singular perturbation and time scales in control theories and applications. An Overview 2002–2012, Int. J. Inf. and Syst. Sci. 9 (1), 1–36 (2014)

4. Belokopytov, S.V., Dmitriev, M.G.: Direct scheme in optimal control problems with fast and slow motions. Syst. Control Lett. 8, 129–135 (1986)

5. Kurina, G.A., Hoai, N.T.: Asymptotic solution of a linear-quadratic problem with discontinuous coefficients and cheap control. Appl. Math. Comput. 232, 347–364 (2014)

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