Rapoport Lev Borisovich

Publications in Math-Net.Ru

1. An extension of the feedback linearization method in the control problem of an inverted pendulum on a wheel
   
   Avtomat. i Telemekh., 2024, no. 4,  61–80
2. Control of an inverted pendulum on a wheel
   
   Avtomat. i Telemekh., 2022, no. 8,  3–28
3. Relaxation methods for navigation satellites set optimization
   
   Probl. Upr., 2019, no. 4,  65–71
4. Semidefinite relaxation and new conditions for sign-definiteness of the quadratic form under quadratic constraints
   
   Avtomat. i Telemekh., 2018, no. 11,  150–158
5. Application of the semi-definite relaxation method to the attitude determination of the rigid body
   
   Probl. Upr., 2018, no. 5,  79–83
6. Canonical representation of the path following problem for wheeled robots
   
   Avtomat. i Telemekh., 2013, no. 5,  80–101
7. Path deformation method in robot motion planning problems in the presence of obstacles
   
   Probl. Upr., 2012, no. 1,  70–76
8. The periodic solution of two-dimensional linear nonstationary systems and estimation of the attraction domain boundary in the problem of control of a wheeled robot
   
   Avtomat. i Telemekh., 2011, no. 11,  130–139
9. The attitude determination method
   
   Probl. Upr., 2010, no. 5,  57–64
10. Construction of invariant ellipsoids in the stabilization problem for a wheeled robot following a curvilinear path
    
    Avtomat. i Telemekh., 2009, no. 2,  52–67
11. Estimating the attraction domain of the invariant set in the problem of wheeled robot control
    
    Avtomat. i Telemekh., 2008, no. 11,  48–61
12. Numerical methods for estimation of the attraction domain in the problem of control of the wheeled robot
    
    Avtomat. i Telemekh., 2008, no. 1,  16–29
13. Estimation of attraction domains in wheeled robot control
    
    Avtomat. i Telemekh., 2006, no. 9,  69–89
14. Extension of the $S$-procedure and analysis of the multidimensional control systems using linear matrix inequalities
    
    Avtomat. i Telemekh., 2005, no. 1,  37–48
15. Analysis of the robust stability of linear time-independent systems using quadratic parameter-dependent Lyapunov functions
    
    Avtomat. i Telemekh., 1998, no. 8,  146–153
16. Antiperiodic motions and the algebraic criterion of asymptotic stability of selector-linear differential inclusions in the two-dimensional case
    
    Avtomat. i Telemekh., 1995, no. 1,  56–63
17. Antiperiodic motions and an algebraic criterion for the absolute stability of nonlinear time-dependent systems in the three-dimensional case
    
    Avtomat. i Telemekh., 1993, no. 7,  38–54
18. The existence of nonsmooth invariant functions on the boundary of the domain of absolute stability of nonlinear time-dependent systems
    
    Avtomat. i Telemekh., 1993, no. 3,  109–114
19. Periodic motions and criteria for absolute stability of nonlinear time-dependent systems
    
    Avtomat. i Telemekh., 1991, no. 10,  63–73
20. The existence of periodic motions and criteria for the absolute stability of nonlinear time-dependent systems in the three-dimensional case
    
    Avtomat. i Telemekh., 1991, no. 5,  68–79
21. Boundary of the domain of asymptotic stability of selector-linear differential inclusions and the existence of periodic solutions
    
    Dokl. Akad. Nauk SSSR, 321:4 (1991),  687–691
22. Absolute stability bound of nonlinear nonstationary systems and its relationship with construction of invariant functions
    
    Avtomat. i Telemekh., 1990, no. 10,  78–86
23. A method for constructing invariant functions and the study of phase portraits of dynamical systems on a computer
    
    Differ. Uravn., 26:7 (1990),  1116–1126
24. On problems of absolute stability for control systems with superposition of nonlinear elements
    
    Avtomat. i Telemekh., 1989, no. 12,  166–168
25. On one frequency criterion of absolute stability for control systems with several nonlinear stationary elements
    
    Avtomat. i Telemekh., 1989, no. 6,  34–43
26. Sufficient conditions for existence of Lyapunov functions from the range of higher power forms in the problem of absolute stability of nonlinear control systems
    
    Avtomat. i Telemekh., 1988, no. 5,  178–183
27. Sign-definiteness of a quadratic form under quadratic constraints and the absolute stability of nonlinear control systems
    
    Dokl. Akad. Nauk SSSR, 298:4 (1988),  822–826
28. On absolute stability of control systems incorporating several nonlinear stationary elements
    
    Avtomat. i Telemekh., 1987, no. 5,  66–74