Technical stability of discontinuous control systems with a continuous set of initial perturbations

International Applied Mechanics

Volumn 36, Issue 11, 2000, Pages 1520-1531

  Matviichuk, K S ^a  

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034310387     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011373018967     Document Type: Article

References (24)

1. 1. L. T. Ashchepkov, Optimal Control of Discontinuous Systems [in Russian], Nauka, Novosibirsk (1987).
2. 2. F. G. Garashchenko and N. F. Kirichenko, "Study of problems on practical stability and stabilization of motion," Mekh. Tverd. Tela, No. 6, 15-24 (1975).
3. 3. S.V. Emel'yanov, V. I. Utkin, V. A. Taran et. al., The Theory of Variable-Structure Systems [in Russian], Moscow, Nauka, (1970).
4. 4. N. F. Kirichenko, Some Problems on Stability and Controllability of Motion [in Russian], Izd. Kievskogo Univ., Kiev (1972).
5. 5. V. M. Kuntsevich and M. M. Lychak, Synthesis of Automatic Control Systems Using Lyapunov Functions [in Russian], Nauka, Moscow (1977).
6. 6. M. A. Lavrent'ev and L. A. Lyusternik, Fundamentals of the Calculus of Variations [in Russian], Vol. 1, Part. 1, ONTI, Moscow-Leningrad (1935).
7. 7. V. M. Matrosov, L. Yu. Anapol'skii, and S. N. Vasil'ev, The Comparison Method in Mathematical Systems Theory [in Russian], Nauka, Novosibirsk (1980).
8. 8. K. S. Matviichuk, "Study of the technical stability of systems with damping elements," Prikl. Mekh., 19, No. 5, 100-106 (1983).
9. 9. K. S. Matviichuk, "The technical stability of some distributed-parameter systems," Prikl. Mekh., 21, No. 8, 97-104 (1985).
10. 10. K. S. Matviichuk, "The technical stability of a rectilinear pipeline with a running liquid," Prikl. Mekh., 25, No. 5,97-102 (1989).
11. 11. K. S. Matviichuk, "The technical stability of parametrically excited panels in a gas flow," Prikl. Mekh., 25, No. 6, 73-81 (1989).
12. 12. K. S. Matviichuk, "The conditions for technical stability of the dynamic process characterizing the rotation of a solid about a vertical elastic rod," Prikl. Mekh., 26, No. 5, 96-102 (1990).
13. 13. K. S. Matviichuk, "The method of evolutionary equations in studying the technical stability of dynamic systems," Prikl. Mekh., 26, No. 5, 116-123 (1990).
14. 14. K. S. Matviichuk, "The technical stability of dynamic states of tethered platforms carrying flywheels," Prikl. Mekh., 29, No. 6, 70-75 (1993).
15. 15. K. S. Matviichuk, "The technical stability of dynamic states of a solid oscillating on nonlinear elastic shock-absorbers," Prikl. Mekh., 29, No. 7, 90-96 (1993).
16. 16. K. S. Matviichuk, "The technical stability of an automatic control system with a variable structure," Prikl. Mekh., 30, No. 10, 74-78 (1994).
17. 17. K. S. Matviichuk, "The technical stability of the solutions of a boundary-value problem for extended rod system moving in a liquid," Prikl. Mekh., 32, No. 7, 84-89 (1996).
18. 18. K. S. Matviichuk, "The technical stability of controllable processes with lumped parameters," Prikl. Mekh., 33, No. 2, 74-79 (1997).
19. 19. K. S. Matviichuk, "The technical stability of controllable dynamic processes," Prikl. Mekh., 33, No. 9, 90-96 (1997).
20. 20. K. S. Matviichuk, "Study of nonlinear parametrically excited distributed processes," Prikl. Mekh., 33, No. 11, 92-98 (1997).
21. 21. A. F. Filippov, Differential Equations with a Discontinuous Right-Hand Side [in Russian], Nauka, Moscow (1985).
22. 22. K. S. Matviychuk, "Problem of the dynamic behavior of a panel in a supersonic gas flow," Int Appl. Mech., 34, No. 4, 392-397 (1998).
23. 23. K. S. Matviychuk and N. P. Plakhtienko, "Sufficient technical stability conditions for oscillations of two coupled gyrostats supporting moving flywheels," Int. Appl. Mech., 34, No. 6, 598-605 (1998).
24. 24. J. Szarski, Differential Inequalities, PWN, Warsaw (1967).