Time-optimal control of two-dimensional systems and regular synthesis

 Access to full text

 Full (PDF)

1. BARBANTI L., Lienard equations and control, Functional differential equations and bifurcations (Proceedings. Sao Carlos. Brasil 1979). Springer-Verlag, 1-22. (1979) MR0585479
2. BOLTYANSKII V. G., Mathematical Methods of Optimal Control (Russian), Nauka, Moscow 1969 (Second edition). (1969) MR0353082
3. BOLTYANSKII V. G., Sufficient conditions of optimality and the justification of the method of dynamic programming, (Russian). Izv. Akad. Nauk SSSR. Seria Mat., 28, 1964, 481-514. (1964) MR0170753
4. BOLTYANSKII V. G., Sufficient conditions of optimality (Russian), DAN SSSR 140, No. 5, 1961, 994-997. (1961) MR0133558
5. BRUNOVSKÝ P., Every normal linear system has a regular time-optimal synthesis, Math. Slovaca 28. 1978. 81 - 100. (1978) Zbl0369.49013MR0527776
6. BRUNOVSKÝ P., Existence of regular synthesis for general control problems, J. Diff. Eq. 38, 1980, 317-343. (1980) Zbl0417.49030MR0605053
7. BRUNOVSKÝ P., Regular synthesis for the linear-quadratic optimal control problem with linear control constraints, J. Diff. Eq. 38. 1980, 344-360. (1980) Zbl0417.49014MR0605054
8. CONTI R., Equazione di Van der Pol e controllo in tempo minimo, Rapporti del 1st. Mat. "U. Dini", 13 1976 77. (1976) 
9. DAVIS M. J., A property of the switching curve for certain systems, Int. J. Control 12, 1970, 457-463. (1970) MR0277285
10. JAMES E. M., Time optimal control and the Van der Pol oscillator, J. Inst. Math. Applies. 13, 1974, 67-81. (1974) Zbl0275.49039MR0346633
11. KUBEN J., Time-optimal control of two-dimensional systems, CSc. - thesis, UJEP Brno 1985. (Czech). (1985) 
12. KUBEN J., Global controllability of two-dimensional systems and time-optimal control (Czech), Sborník VAAZ Brno, řada B. 2, 1986. (1986) 
13. LEE E. B., MARKUS L., Foundations of Optimal Control Theory, J. Wiley and Sons 1967. In Russian Nauka. Moscow 1972. (1967) Zbl0159.13201MR0220537
14. LEE E. B., MARKUS L., Optimal Control for Nonlinear Processes, Archive for Rational Mech. and Anal. 8. 1961. 36-58. (1961) Zbl0099.08703MR0128571
15. LEE E. B., MARKUS L., On the existence of optimal controls, Trans. ASME, series D, J. of Basic Engin. 84. 1962. No 1. 13-23. (1962) MR0133564
16. LEE E. B., MARKUS L., Synthesis of optimal control for nonlinear processes with one degree of freedom, Proceedings of Inter. Sympos. on Nonlin. Vibrations, t. III, Izdat. AN USSR. Kijev 1963, 200-218. (1963) MR0180431
17. LEE E. B., MARKUS L., On necessary and sufficient conditions of time-optimality for nonlinear second order systems (Russian), Proceedings of 2nd Congress IFAC Basel 1963, Nauka. Moscow 1965, 155-167. (1963) 
18. VILLARI G., Ciclo limite di Linèard e controllabilitá, Bol. Univ. Math. Hal. (5) 17-A, 1980, 406-413. (1980) 
19. REISSIG R., SANSONE G., CONTI R., Qualitative Theorie nichtlinearer Differential-gleichungen, Edizioni Cremonese. Roma 1963. In Russian Nauka. Moscow 1974. (1963) MR0158121
20. NEUMAN F., Sur les équations différentielles linéaires oscillatoires du deuxiéme ordre avec la dispersion fondamentale $o\left(l\right)=l-\pi$, Buletinul Institutuliu Politehnic Din Iasi, X(XIV), Fasc. 1 2. 1964, 37-42. (1964) MR0197825
21. NEUMAN F., Criterion of periodicity of solutions of a certain differential equation with a periodic coefficient, Annali di Mat. pura et app.. (IV). vol. I.XXV. 1967, 385-396. (1967) Zbl0148.07104MR0213652
22. KUBEN J., Establishing of Locus of Switching of Optimal Feedback Control (Czech), Sborník VAAZ Brno, rada B. 4. 1988. (1988)