Linear output control of Markov chains by the quadratic criterion
A. V. Bosov

References
1.	Athans M., “The role and use of the stochastic linear-quadratic-Gaussian problem in control system design”, IEEE T. Automat. Contr., 16:6 (1971), 529–552
2.	Wonham W. M., “On the separation theorem of stochastic control”, SIAM J. Control, 6:2 (1968), 312–326
3.	Fleming W. H., R. W. Rishel, Deterministic and stochastic optimal control, Springer-Verlag, New York, NY, 1975, 222 pp.
4.	Kushner H. J., Dupuis P. G., Numerical methods for stochastic control problems in continuous time, Springer-Verlag, New York, NY, USA, 2001, 476 pp.
5.	Bertsekas D. P., Dynamic programming and optimal control, Athena Scientific, Cambridge, 2017, 576 pp.
6.	Mortensen R. E., “Stochastic optimal control with noisy observations”, Int. J. Control, 4:5 (1966), 455–464
7.	Davis M. H. A., Varaiya P. P., “Dynamic programming conditions for partially observable stochastic systems”, SIAM J. Control, 11:2 (1973), 226–262
8.	Benes V. E., Karatzas I., “On the relation of Zakai's and Mortensen's equations”, SIAM J. Control Optim., 21:3 (1983), 472–489
9.	Bensoussan A., Stochastic control of partially observable systems, Cambridge University Press, Cambridge, 1992, 364 pp.
10.	Miller B. M., K. E. Avrachenkov, K. V. Stepanyan, G. B. Miller, “The problem of optimal stochastic data flow control based upon incomplete information”, Probl. Inf. Transm., 41:2 (2005), 150–170
11.	Elliott R. J., Aggoun L., Moore J. B., Hidden Markov models: Estimation and control, Springer-Verlag, New York, NY, USA, 1995, 382 pp.
12.	Athans M., Falb P. L., Optimal control: An introduction to the theory and its applications, Dover Publications, New York, NY, USA, 2007, 879 pp.
13.	Feldbaum A. A., Foundations of theory of optimal automatic systems, Nauka, M., 1966, 624 pp.
14.	Bhatia R., Matrix analysis, Graduate texts in mathematics ser., 169, Springer-Verlag, New York, NY, USA, 1997, 349 pp.
15.	Shiryaev A. N., Probability, Springer Verlag, New York, NY, 1996, 624 pp.
16.	Bosov A. V., A. I. Stefanovich., “Stochastic differential system output control by the quadratic criterion. I. Dynamic programming optimal solution”, Informatika i ee Primeneniya — Inform. Appl., 12:3 (2018), 99–106
17.	Bosov A. V., “On some special cases in the problem of stochastic differential system output control by the quadratic criterion”, Informatika i ee Primeneniya — Inform. Appl., 15:1 (2021), 11–17
18.	Davis M. H. A., Linear estimation and stochastic control, Chapman and Hall, London, 1977, 224 pp.