Article Outline
Keywords
Integral Relationships
Metamorphosis
Existence and Structure
Approximations and Examples
Unbounded Controls and Nonstandard Methods
See also
References
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Berge C (1963) Topological spaces. Oliver and Boyd, Edinburgh
Cutland NJ (eds) (1988) Nonstandard analysis and its applications. Cambridge Univ Press, Cambridge
Fakharzadeh A (1997) Shapes, measures and elliptic equations. PhD Thesis, Univ Leeds, Leeds
Farahi MH, Rubio JE, Wilson DA (1996) The global control of a nonlinear wave equation. Internat J Control 65:1–15
Glashof K, Gustafson S (1983) Linear optimization and approximation. Springer, Berlin
Lawden DF (1959) Discontinuous solutions of variational problems. J Austral Math Soc 1:27–37
Mikhailov VP (1978) Partial differential equations. MIR, Moscow
Oberguggenberger M (1992) Multiplication of distributions and applications to partial differential equations. Longman, London
Render H (1993) Pushing down Loeb measures. Math Scand 72:61–84
Rosenbloom PC (1952) Quelques classes de problèmes éxtremaux. Bull Soc Math France 80:183–216
Rubio JE (1986) Control and optimization: the linear treatment of nonlinear problems. MUP and Wiley, New York
Rubio JE (1994) Optimization and nonstandard analysis. M Dekker, New York
Rubio JE (1995) The global control of nonlinear diffusion equations. SIAM J Control Optim 33:308–322
Rubio JE (1998) The global optimization of variational problems with discontinuous solutions. J Global Optim 12:225–237
Rubio JE (2000) Optimal control problems with unbounded constraint set. Optim 48:191–210
Rubio JE. The global control of shock waves
Rudolph H (1987) Simplexalgorithmus der semiinfiniten linearen Optimierung. Wiss Leuna–Merseburg Tech Hochsch 5:782–806
Rudolph H (1990) Global solution in optimal control via SILP. In: Sebastian H-J (ed) System modelling and optimization. Lecture Notes Control Inform Sci. Springer, Berlin, pp 394–402
Young LC (1969) Calculus of variations and optimal control theory. WB Saunders, Philadelphia
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag
About this entry
Cite this entry
Rubio, J.E. (2008). Semi-infinite Programming and Control Problems . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_585
Download citation
DOI: https://doi.org/10.1007/978-0-387-74759-0_585
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-74758-3
Online ISBN: 978-0-387-74759-0
eBook Packages: Mathematics and StatisticsReference Module Computer Science and Engineering