| Title:
|
Switchings of optimal controls and the equation $y^{(4)}+\vert y\vert^{\alpha}\,sign\,y=0$, $0<\alpha <1$ (English) |
| Author:
|
Brunovský, Pavol |
| Author:
|
Mallet-Paret, John |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
110 |
| Issue:
|
3 |
| Year:
|
1985 |
| Pages:
|
302-313 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49K15 |
| idZBL:
|
Zbl 0583.49011 |
| idMR:
|
MR808081 |
| DOI:
|
10.21136/CPM.1985.118237 |
| . |
| Date available:
|
2009-09-23T09:32:42Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118237 |
| . |
| Reference:
|
[1] L. D. Berкovitz H. Pollard: A non-classical vaгiational problem arising from an optimall filter problem.Arch. Rat. Mech. Anal. 26 (1967), 281 - 304. MR 0215151 |
| Reference:
|
[2] P. Brunovsкý: Regular Synthesis for the linear-quadгatic optimal control problem with linear control constraints.J. Differential Equations 38 (1980), 344-360. MR 0605054 |
| Reference:
|
[З] P. Hartman: Ordinary Differential Equations.Wiley, New York 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[4] E. B. Leey L. Markus: Foundations of Optimal Control Theory.Wiley, New York 1967. MR 0220537 |
| Reference:
|
[5] C. Marchal: Сhattering arcs and chattering controls.J. Optimization Theory and Applications 11 (1973), 441-468. MR 0339866 |
| Reference:
|
[6] H. Sussmann: A bang-bang theorem with bounds on the numbeг of swit chings.SIAM J. Сontrol Opt. 17 (1969), 629-651. MR 0540843 |
| Reference:
|
[7] H. Sussmann: Bounds on the numbeг of switchings for tгajectories of piecewise analytic vector fields.J. Differential Equations 43 (1982), 399-418. MR 0649846 |
| Reference:
|
[8] F. Bernis: Сompactness of the support in convex and nonconvex fourth order elasticity problems.Nonlineaг Analysis 6 (1982), 1221-1243. MR 0683842 |
| . |
