Journal Article10.1016/0005-1098(72)90051-9
An algorithm for minimax parameter optimization
J. E. Heller,Jose B. Cruz +1 more
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TL;DR: In this article, the authors present an algorithm for generating a sequence with a limit point which satisfies a necessary condition for a minimax solution, using only linear programming, quadratic programming, and one-dimensional direct search.
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About: This article is published in Automatica. The article was published on 01 May 1972. The article focuses on the topics: Minimax approximation algorithm & Minimax.
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Citations
Necessary conditions for min-max problems and algorithms by a relaxation procedure
K. Shimizu,E. Aiyoshi +1 more
TL;DR: In this article, necessary conditions and computational methods for a min-max solution (not a saddle point solution) are presented in a form like Kuhn-Tucker theorem, and the computational methods are based on the relaxation procedure.
143
A new computational method for Stackelberg and min-max problems by use of a penalty method
K. Shimizu,E. Aiyoshi +1 more
TL;DR: It is proved that a sequence of approximated solutions converges to the correct Stackelberg solution, or the min-max solution, which is a series of nonlinear programming problems approximating the original two-level problem by application of a penalty method to a constrained parametric problem in the lower level.
115
Impulse radio pulse shaping for ultra-wide bandwidth (UWB) systems
Yunnan Wu,Andreas F. Molisch,Sun-Yuan Kung,Jinyun Zhang +3 more
- 07 Sep 2003
TL;DR: This paper investigates the design of pulse shaping UK filters for impulse radio ultrawideband (UWB) communications systems by constructing a least-squares approximation to the minimax problem where the optimization over delays can be easily solved.
42
Satellite antennas
Y. Hwang
- 01 Jan 1992
TL;DR: The satellite antennas are classified into three categories according to function: communication; tracking, telemetry, and command (TT and C); and special satellite antennas as discussed by the authors, which is a landmark in satellite antenna technology.
41
Design of shaped-beam antennas through minimax gain optimization
TL;DR: An algorithm which optimizes the power gain in a minimax sense is described and how the basic algorithm is very efficient and how it permits simple modifications to allow the specification of one-sided errors for the pattern, and direct optimization of gain slopes.
34
References
Optimization of stochastic systems
Peter W. Glynn
- 01 Dec 1986
TL;DR: This paper gives a short survey of Monte Carlo algorithms for stochastic optimization, with emphasis on the analysis of convergence rate.
The Theory of Max-Min, with Applications
TL;DR: In this article, a general theory of Max-Min analogous to the elementary theory of maximizing for finite problems is presented, and applied to find criteria in a particular long-unsolved military allocation problem, and finally indicates an application to economics.
487
A minimax control problem for sampled linear systems
TL;DR: In this paper, Fenchel's theory of conjugate convex functions is used to set up an algorithm dual to the dynamic programming approach for reachable sets, more easily determined than other descriptions of these sets.
230
Sensitivity considerations in optimal system design
R.A. Rohrer,M. Sobral +1 more
TL;DR: In this article, a new definition of relative sensitivity is introduced for the optimal control problem, wherein the system performance is always compared with its optimum under the given circumstances, and the implications of the relative sensitivity and its relevance to optimal system design are discussed in detail.