Previous |  Up |  Next

Article

References:
[1] BARBANTI L.: Lienard equations and control. Functional differential equations and bifurcations (Proceedings. Sao Carlos. Brasil 1979). Springer-Verlag, 1-22. MR 0585479
[2] BOLTYANSKII V. G.: Mathematical Methods of Optimal Control (Russian). Nauka, Moscow 1969 (Second edition). MR 0353082
[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. MR 0170753
[4] BOLTYANSKII V. G.: Sufficient conditions of optimality (Russian). DAN SSSR 140, No. 5, 1961, 994-997. MR 0133558
[5] BRUNOVSKÝ P.: Every normal linear system has a regular time-optimal synthesis. Math. Slovaca 28. 1978. 81 - 100. MR 0527776 | Zbl 0369.49013
[6] BRUNOVSKÝ P.: Existence of regular synthesis for general control problems. J. Diff. Eq. 38, 1980, 317-343. MR 0605053 | Zbl 0417.49030
[7] BRUNOVSKÝ P.: Regular synthesis for the linear-quadratic optimal control problem with linear control constraints. J. Diff. Eq. 38. 1980, 344-360. MR 0605054 | Zbl 0417.49014
[8] CONTI R.: Equazione di Van der Pol e controllo in tempo minimo. Rapporti del 1st. Mat. "U. Dini", 13 1976 77.
[9] DAVIS M. J.: A property of the switching curve for certain systems. Int. J. Control 12, 1970, 457-463. MR 0277285
[10] JAMES E. M.: Time optimal control and the Van der Pol oscillator. J. Inst. Math. Applies. 13, 1974, 67-81. MR 0346633 | Zbl 0275.49039
[11] KUBEN J.: Time-optimal control of two-dimensional systems. CSc. - thesis, UJEP Brno 1985. (Czech).
[12] KUBEN J.: Global controllability of two-dimensional systems and time-optimal control (Czech). Sborník VAAZ Brno, řada B. 2, 1986.
[13] LEE E. B., MARKUS L.: Foundations of Optimal Control Theory. J. Wiley and Sons 1967. In Russian Nauka. Moscow 1972. MR 0220537 | Zbl 0159.13201
[14] LEE E. B., MARKUS L.: Optimal Control for Nonlinear Processes. Archive for Rational Mech. and Anal. 8. 1961. 36-58. MR 0128571 | Zbl 0099.08703
[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. MR 0133564
[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. MR 0180431
[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.
[18] VILLARI G.: Ciclo limite di Linèard e controllabilitá. Bol. Univ. Math. Hal. (5) 17-A, 1980, 406-413.
[19] REISSIG R., SANSONE G., CONTI R.: Qualitative Theorie nichtlinearer Differential-gleichungen. Edizioni Cremonese. Roma 1963. In Russian Nauka. Moscow 1974. MR 0158121
[20] NEUMAN F.: Sur les équations différentielles linéaires oscillatoires du deuxiéme ordre avec la dispersion fondamentale $o(l) = l - \pi$. Buletinul Institutuliu Politehnic Din Iasi, X(XIV), Fasc. 1 2. 1964, 37-42. MR 0197825
[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. MR 0213652 | Zbl 0148.07104
[22] KUBEN J.: Establishing of Locus of Switching of Optimal Feedback Control (Czech). Sborník VAAZ Brno, rada B. 4. 1988.
Partner of
EuDML logo