Scientific interests concern mathematical problems of control theory, including: stability and oscillations of nonlinear sampled-data systems considered in a continuous time (systems with a pulse modulation); problems of matrix algebra encountered in control theory.
Biography
Graduated from Faculty of Mathematics and Mechanics of Leningrad (now St. Petersburg) State University in 1975 (Department of Theoretical Cybernetics). Ph.D. thesis was defended in 1981. A list of my works contains more than 60 titles, including two monographs.
Soros Associate Professor (1995).
Main publications:
Gelig A. Kh., Churilov A. N. Stability and Oscillations of Nonlinear Pulse-Modulated Systems. Boston: Birkhauser, 1998. 362 p.
A. Kh. Gelig, A. N. Churilov, “Frequency methods in the theory of pulse-modulated control systems”, Avtomat. i Telemekh., 2006, no. 11, 60–76; Autom. Remote Control, 67:11 (2006), 1752–1767
A. N. Churilov, “Stabilization of a Linear Object by Frequency-Modulated Pulsed Signals”, Avtomat. i Telemekh., 2002, no. 6, 64–72; Autom. Remote Control, 63:6 (2002), 926–934
A. N. Churilov, “Stabilization of a linear system by combined impulse modulation”, Avtomat. i Telemekh., 2000, no. 10, 71–76; Autom. Remote Control, 61:10 (2000), 1650–1654
A. Kh. Gelig, A. N. Churilov, “On stability in the large of systems with impulse action”, Differ. Uravn., 33:6 (1997), 748–753; Differ. Equ., 33:6 (1997), 752–756
1995
5.
A. Kh. Gelig, A. N. Churilov, “Periodic regimes in systems with frequency-impulse modulation of the second type”, Avtomat. i Telemekh., 1995, no. 10, 86–93; Autom. Remote Control, 56:10 (1995), 1425–1431
6.
A. Kh. Gelig, A. N. Churilov, “Periodic modes in pulse-frequency systems”, Avtomat. i Telemekh., 1995, no. 7, 91–98; Autom. Remote Control, 56:7 (1995), 982–988
A. N. Churilov, “Stability of systems with integral pulse-width modulation”, Avtomat. i Telemekh., 1993, no. 6, 142–150; Autom. Remote Control, 54:6 (1993), 989–997
A. N. Churilov, “A frequency criterion for the boundedness of solutions of phase systems with delay”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 11, 77–79; Russian Math. (Iz. VUZ), 37:11 (1993), 75–77
1992
9.
A. N. Churilov, “A frequency criterion for the stability of nonlinear impulse systems with an even pulsation law”, Avtomat. i Telemekh., 1992, no. 4, 93–100; Autom. Remote Control, 53:4 (1992), 554–560
A. N. Churilov, “A frequency criterion for stability of nonlinear impulse systems”, Avtomat. i Telemekh., 1991, no. 6, 95–104; Autom. Remote Control, 52:6 (1991), 824–833
A. Kh. Gelig, A. N. Churilov, “Periodical regimes in impulse-modulated systems with variable structure linear component”, Avtomat. i Telemekh., 1990, no. 12, 94–104; Autom. Remote Control, 51:12 (1990), 1683–1692
A. Kh. Gelig, A. N. Churilov, “Investigating $\Omega$-periodic modes in pulse width systems”, Avtomat. i Telemekh., 1989, no. 2, 30–39; Autom. Remote Control, 50:2 (1989), 152–160
1986
13.
A. Kh. Gelig, A. N. Churilov, “Periodic modes in pulse-width modulation systems”, Avtomat. i Telemekh., 1986, no. 11, 37–44; Autom. Remote Control, 47:11 (1986), 1490–1497
14.
A. N. Churilov, “A remark on the Kalman-Szegö lemma”, Avtomat. i Telemekh., 1986, no. 9, 168–169
A. N. Churilov, “On solutions of a quadratic matrix equation encountered in the investigation of discrete control systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 11, 59–65; Soviet Math. (Iz. VUZ), 30:11 (1986), 81–89
A. N. Churilov, “Estimates of a functional encountered in the study of discrete control systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 9, 59–65; Soviet Math. (Iz. VUZ), 28:9 (1984), 81–89
M. V. Levit, A. N. Churilov, “Estimates of some functionals of solutions of matrix inequalities encountered in control theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 5, 53–59
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