SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Journal of Mathematical Analysis and Applications

Volumn 269, Issue 1, 2002, Pages 98-128

Sufficient conditions for relative minima of broken extremals in optimal control theory

(2) Noble, John a Schättler, Heinz b

a BOEING COMPANY (United States)

b WASHINGTON UNIVERSITY (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036575268 PISSN: 0022247X EISSN: None Source Type: Journal
DOI: 10.1016/S0022-247X(02)00008-2 Document Type: Article

Times cited : (47)

References (30)

1
- 0003716451
- MacMillan
- (1964) The Mathematical Theory of Optimal Processes
- Pontryagin, L.S.¹ Boltyanskii, V.G.² Gamkrelidze, R.V.³ Mishchenko, E.F.⁴

2
- 84967758647
- Viscosity solutions of Hamilton-Jacobi equations
- (1983) Trans. Amer. Math. Soc , vol.277 , pp. 1-42
- Crandall, M.G.¹ Lions, P.L.²

3
- 0003423896
- Springer-Verlag, New York
- (1993) Controlled Markov Processes and Viscosity Solutions
- Fleming, W.H.¹ Soner, H.M.²

4
- 0003992610
- Springer-Verlag
- (1982) Partial Differential Equations
- John, F.¹

5
- 0004203368
- Springer-Verlag, New York
- (1974) Optimal Control Theory
- Berkovitz, L.¹

6
- 0000401789
- Sufficient conditions for optimality and the justification of the dynamic programming method
- (1966) SIAM J. Control , vol.4 , pp. 326-361
- Boltyansky, V.G.¹

7
- 0000195155
- Existence of regular synthesis for general control problems
- (1980) J. Differential Equations , vol.38
- Brunovsky, P.¹

8
- 0034453280
- Regular synthesis and sufficiency conditions for optimality
- (2001) SIAM J. Control Optim , vol.39 , pp. 359-410
- Piccoli, B.¹ Sussmann, H.J.²

9
- 0003765651
- Lectures on the Calculus of Variations and Optimal Control Theory
- W.B. Saunders, Philadelphia
- (1969)
- Young, L.C.¹

10
- 0000233177
- Field theories in the modern calculus of variations
- (1988) Trans. Amer. Math. Soc , vol.309 , pp. 725-752
- Nowakowski, A.¹

11
- 0021817336
- A high-order test for optimality of bang-bang controls
- (1985) SIAM J. Control Optim , vol.23 , pp. 38-48
- Bressan, A.¹

12
- 0023670898
- On the local structure of time-optimal bang-bang trajectories
- (1988) SIAM J. Control Optim , vol.26 , pp. 186-204
- Schättler, H.¹

13
- 0030826051
- First- and second-order sufficient optimality conditions for bang-bang controls
- (1997) SIAM J. Control Optim , vol.35 , pp. 315-440
- Sarychev, A.V.¹

14
- 85053529728
- Symplectic geometry for optimal control
- H. Sussmann (Ed.), Marcel Dekker
- (1990) Nonlinear controllability and Optimal Control , pp. 263-277
- Agrachev, A.¹ Gamkrelidze, R.²

15
- 0009491442
- Symplectic methods for optimization and control
- B. Jakubczyk, W. Respondek (Eds.), Marcel Dekker
- (1998) Geometry of Feedback and Optimal Control , pp. 19-78
- Agrachev, A.¹ Gamkrelidze, R.²

16
- 0003040740
- A Hamiltonian approach to strong minima in optimal control
- Proceedings of Symposia in Pure Mathematics, American Mathematical Society
- (1998) , vol.64 , pp. 11-22
- Agrachev, A.¹ Stefani, G.² Zezza, P.L.³

17
- 0041926724
- Strong optimality for a bang-bang trajectory
- accepted
- SIAM J. Control Optim
- Agrachev, A.¹ Stefani, G.² Zezza, P.L.³

18
- 0003496583
- Parametrized Families of Broken Extremals and Sufficient Conditions for Relative Minima
- D.Sc. Dissertation, Washington University, St. Louis, MO
- (1999)
- Noble, J.¹

19
- 0004259199
- Topics in Control Theory
- Birkhäuser
- (1993)
- Knobloch, H.W.¹ Isidori, A.² Flockerzi, D.³

20
- 0009551206
- Hinreichende Bedingungen für ein starkes relatives Minimum bei Kontroll Problemen, Diplomarbeit, Bayerische Julius-Maximilians-Universität Würzburg
- Germany
- (1982)
- Schättler, H.¹

21
- 0009493197
- Integration, Princeton University Press
- (1944)
- McShane, E.J.¹

22
- 0003923089
- Deterministic and Stochastic Optimal Control
- Springer-Verlag, New York
- (1975)
- Fleming, W.H.¹ Rishel, R.W.²

23
- 0009516759
- Optimal bang-bang controls for a 2-compartment model in cancer chemotherapy
- accepted
- J. Optim. Theory Appl
- Ledzewicz, U.¹ Schättler, H.²

24
- 0003328875
- Analysis of a cell-cycle specific model for cancer chemotherapy
- accepted
- J. Biol. Syst
- Ledzewicz, U.¹ Schättler, H.²

25
- 0031204179
- Optimal control of chemotherapy of HIV
- (1997) J. Math. Biol , vol.35 , pp. 775-792
- Kirschner, D.¹ Lenhart, S.² Serbin, S.³

26
- 0035423204
- On the optimality of parametrized families of bang-bang trajectories
- Proceedings of the Third World Congress of Nonlinear Analysts, Catania, Italy, Nonlinear Anal
- (2000) , vol.47 , pp. 351-362
- Noble, J.¹ Schättler, H.²

27
- 0343090918
- Parametrized families of extremals and singularities in solutions to the Hamilton-Jacobi-Bellman equation
- (1999) SIAM J. Control Optim , vol.37 , pp. 1346-1371
- Kiefer, M.D.¹ Schättler, H.²

28
- 0003507691
- Applied Optimal Control
- Hemisphere Publishing, Washington, DC
- (1975)
- Bryson A.E., Jr.¹ Ho, Y.C.²

29
- 0003956358
- Linear Optimal Control
- Prentice-Hall
- (1971)
- Anderson, B.D.O.¹ Moore, J.²

30
- 0003792312
- Linear Systems
- Prentice-Hall
- (1980)
- Kailath, T.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.