| Title:
|
Time-optimal control of two-dimensional systems and regular synthesis (English) |
| Author:
|
Kuben, Jaromír |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
40 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
303-320 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49K15 |
| idZBL:
|
Zbl 0753.49008 |
| idMR:
|
MR1094783 |
| . |
| Date available:
|
2009-09-25T10:25:54Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136512 |
| . |
| Reference:
|
[1] BARBANTI L.: Lienard equations and control.Functional differential equations and bifurcations (Proceedings. Sao Carlos. Brasil 1979). Springer-Verlag, 1-22. MR 0585479 |
| Reference:
|
[2] BOLTYANSKII V. G.: Mathematical Methods of Optimal Control (Russian).Nauka, Moscow 1969 (Second edition). MR 0353082 |
| Reference:
|
[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 |
| Reference:
|
[4] BOLTYANSKII V. G.: Sufficient conditions of optimality (Russian).DAN SSSR 140, No. 5, 1961, 994-997. MR 0133558 |
| Reference:
|
[5] BRUNOVSKÝ P.: Every normal linear system has a regular time-optimal synthesis.Math. Slovaca 28. 1978. 81 - 100. Zbl 0369.49013, MR 0527776 |
| Reference:
|
[6] BRUNOVSKÝ P.: Existence of regular synthesis for general control problems.J. Diff. Eq. 38, 1980, 317-343. Zbl 0417.49030, MR 0605053 |
| Reference:
|
[7] BRUNOVSKÝ P.: Regular synthesis for the linear-quadratic optimal control problem with linear control constraints.J. Diff. Eq. 38. 1980, 344-360. Zbl 0417.49014, MR 0605054 |
| Reference:
|
[8] CONTI R.: Equazione di Van der Pol e controllo in tempo minimo.Rapporti del 1st. Mat. "U. Dini", 13 1976 77. |
| Reference:
|
[9] DAVIS M. J.: A property of the switching curve for certain systems.Int. J. Control 12, 1970, 457-463. MR 0277285 |
| Reference:
|
[10] JAMES E. M.: Time optimal control and the Van der Pol oscillator.J. Inst. Math. Applies. 13, 1974, 67-81. Zbl 0275.49039, MR 0346633 |
| Reference:
|
[11] KUBEN J.: Time-optimal control of two-dimensional systems.CSc. - thesis, UJEP Brno 1985. (Czech). |
| Reference:
|
[12] KUBEN J.: Global controllability of two-dimensional systems and time-optimal control (Czech).Sborník VAAZ Brno, řada B. 2, 1986. |
| Reference:
|
[13] LEE E. B., MARKUS L.: Foundations of Optimal Control Theory.J. Wiley and Sons 1967. In Russian Nauka. Moscow 1972. Zbl 0159.13201, MR 0220537 |
| Reference:
|
[14] LEE E. B., MARKUS L.: Optimal Control for Nonlinear Processes.Archive for Rational Mech. and Anal. 8. 1961. 36-58. Zbl 0099.08703, MR 0128571 |
| Reference:
|
[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 |
| Reference:
|
[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 |
| Reference:
|
[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. |
| Reference:
|
[18] VILLARI G.: Ciclo limite di Linèard e controllabilitá.Bol. Univ. Math. Hal. (5) 17-A, 1980, 406-413. |
| Reference:
|
[19] REISSIG R., SANSONE G., CONTI R.: Qualitative Theorie nichtlinearer Differential-gleichungen.Edizioni Cremonese. Roma 1963. In Russian Nauka. Moscow 1974. MR 0158121 |
| Reference:
|
[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 |
| Reference:
|
[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. Zbl 0148.07104, MR 0213652 |
| Reference:
|
[22] KUBEN J.: Establishing of Locus of Switching of Optimal Feedback Control (Czech).Sborník VAAZ Brno, rada B. 4. 1988. |
| . |
