References

 Bylov B.F., Vinograd R.E., Grobman D.M., Nemytskii V.V. Teoriya pokazatelei Lyapunova i ee prilozheniya k voprosam ustoichivosti (Theory of Lyapunov exponents and its application to problems of stability), Moscow: Nauka, 1966, 576 p.
 Demidovich B.P. Lektsii po matematicheskoi teorii ustoichivosti (Lectures on the mathematical stability theory), Moscow: Moscow State University, 1990, 624 p.
 Bogdanov Yu.S. About the asymptotically equivalent linear differential systems, Differ. Uravn., 1965, vol. 1, no. 6, pp. 707716 (in Russian).
 Popova S.N. Global reducibility of linear control systems to systems of scalar type, Differential Equations, 2004, vol. 40, no. 1, pp. 4349.
 Makarov E.K., Popova S.N. Upravlyaemost' asimptoticheskikh invariantov nestatsionarnykh lineinykh system (Controllability of asymptotic invariants of nonstationary linear systems), Minsk: Belarus. Navuka, 2012, 407 p.
 Popova S.N. On global controllability of the Lyapunov exponents for linear systems, Differential Equations, 2007, vol. 43, no. 8, pp. 10721078.
 Popova S.N. Global controllability of the complete set of Lyapunov invariants of periodic systems, Differential Equations, 2003, vol. 39, no. 12, pp. 17131723.
 Kozlov A.A., Makarov E.K. On the control of Lyapunov exponents of linear systems in the nondegenerate case, Differential Equations, 2007, vol. 43, no. 5, pp. 636642.
 Kozlov A.A. A control procedure for total set of Lyapunov invariants for linear systems in nondegenerate case, Trudy Inst. Mat., 2007, vol. 15, no. 2, pp. 3337 (in Russian).
 Kozlov A.A., Ints I.V., Burak A.D. Global controllability of a separate asymptotic invariants of twodimensional linear systems with locally integrable coefficients, Vestsi Nats. Akad. Navuk Belarusi, Ser. Fiz.Mat. Navuk, Suppl., 2014, pp. 3745 (in Russian).
 Zaitsev V.A. Uniform complete controllability and global control over asymptotic invariants of linear systems in the Hessenberg form, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2015, vol. 25, no. 3, pp. 318337 (in Russian).
 Kalman R.E. Contribution to the theory of optimal control, Boletin de la Sociedad Matematika Mexicana, 1960, vol. 5, no. 1, pp. 102119.
 Tonkov E.L. A criterion for uniform controllability and stabilization of a linear recurrent system, Differ. Uravn., 1979, vol. 15, no. 10, pp. 18041813 (in Russian).
 Zaitsev V.A. Criteria for uniform complete controllability of linear systems, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2015, vol. 25, no. 2, pp. 157179 (in Russian).
 Makarov E.K., Popova S.N. Global controllability of central exponents of linear systems, Russian Mathematics, 1999, vol. 43, no. 2, pp. 5663.
 Kozlov A.A. On the control of Lyapunov exponents of twodimensional linear systems with locally integrable coefficients, Differential Equations, 2008, vol. 44, no. 10, pp. 13751392.
 Kozlov A.A., Burak A.D. About control over characteristic exponents of threedimensional linear differential systems with a discontinuous and fast oscillated coefficients, Vest. Vitseb. Dzyarzh. Univ., 2013, no. 5 (77), pp. 1131 (in Russian).
 Tonkov E.L. Uniform attainability and Lyapunov reducibility of bilinear control system, Proceedings of the Steklov Institute of Mathematics, 2000, suppl. 1, pp. S228S253.
 Zaitsev V.A. Global Lyapunov reducibility of twodimensional control systems with piecewise constant coefficients, Vestn. Udmurt. Univ. Mat., 2002, no. 1, pp. 312 (in Russian).
 Zaitsev V.A. Global attainability and global reducibility of two and treedimensional linear control systems with constant coefficients, Vestn. Udmurt. Univ. Mat., 2003, no. 1, pp. 3162 (in Russian).
 Zaitsev V.A. Attainability and Lyapunov reducibility of linear control systems, Optimizatsiya, upravlenie, intellekt: sbornik statei (Optimization, control, intelligence: Transactions), Institute for System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, 2005, no. 2 (10), pp. 7684 (in Russian).
 Makarov E.K., Popova S.N. The global controllability of a complete set of Lyapunov invariants for twodimensional linear systems, Differential Equations, 1999, vol. 35, no. 1, pp. 97107.
 Horn R., Johnson C. Matrix analysis, Cambridge: Cambridge University Press, 1988. Translated under the title Matrichnyi analiz, Moscow: Mir, 1989, 655 p.
