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On the least time suboptimal control of nonlinear processes. (English) Zbl 0349.49015


MSC:

49K30 Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
93C15 Control/observation systems governed by ordinary differential equations
93C10 Nonlinear systems in control theory
Full Text: DOI

References:

[1] Kranc, G. M.; Sarachik, P. E., An application of functional analysis to the optimum control problem, Trans., ASME, J. Basic Engng, Vol. 85, 143-150 (1963)
[2] Kranc, G. M.; Park, C., On the least-time suboptimal feedback problem in \(L_p\)-space, J. Franklin Inst., Vol. 298, No. 3 (1974) · Zbl 0326.49029
[3] Athans, M., Optimal Control (1965), McGraw-Hill: McGraw-Hill New York · Zbl 0186.22501
[4] Pecsvaradi, T., Optimal horizontal guidance law for aircraft in the terminal area, IEEE Trans. Auto. Cont., Vol. AC-17 (1972)
[5] Pontryagin, L. S.; Boltyanskii, V.; Gamkrelidze, R.; Mishchanko, E., The Mathematical Theory of Optimal Processes (1962), Interscience: Interscience New York · Zbl 0102.32001
[6] Zadeh, L. A.; Desoer, C. A., Linear System Theory (1963), McGraw-Hill: McGraw-Hill New York · Zbl 1145.93303
[7] Breakwell, J. V.; Speyer, J. L.; Bryson, A. E., Optimization and control of nonlinear systems using the second variation, J. SIAM Control, Vol. 1, No. 2 (1963) · Zbl 0135.32901
[8] Friedland, B.; Sarachik, P. E., A unified approach to suboptimal control, Third Cong. IFAC (1966)
[9] Kinariwala, B. K., Analysis of time varying networks, IRE Inter. Conv. Record, 268-276 (1961), Part 4
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.