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Numerical Verification of Optimality Conditions
SIAM Journal on Control and Optimization, 2008A class of optimal control problems for a semilinear elliptic partial differential equation with control constraints is considered. It is well known that sufficient second-order conditions ensure the stability of optimal solutions, and the convergence of numerical methods.
Arnd Rösch, Daniel Wachsmuth
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ON NUMERICAL RESULTS FOR SHAPE OPTIMIZATION
IFAC Proceedings Volumes, 1989In this paper we are concerned with numerical solutions for shape optimization problems associated with elliptic partial differential equations. Our main motivation is a thermal problem where one wants to find an optimal boundary such that the heat loss is minimized for a fixed volume of insulation material.
C.E. Pedreira, R.B. Vinter
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Superoscillations with Optimal Numerical Stability
IEEE Signal Processing Letters, 2014A bandlimited signal can oscillate at a rate faster than its bandlimit. This phenomenon, called "superoscillation", has ap- plications e.g. in superresolution and superdirectivity. The syn- thesis of superoscillations is a numerically difficult problem.
Lee, Dae Gwan +1 more
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Numerical optimization in hybrid symbolic-numeric computation
Proceedings of the 2007 international workshop on Symbolic-numeric computation, 2007Approximate symbolic computation problems can be formulated as constrained or unconstrained optimization problems, for example: GCD [3,8,12,13,23], factorization [5,10], and polynomial system solving [2,25,29]. We exploit the special structure of these optimization problems, and show how to design efficient and stable hybrid symbolic-numeric algorithms
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Taguchi-Particle Swarm Optimization for Numerical Optimization
International Journal of Swarm Intelligence Research, 2010In this work, a hybrid Taguchi-Particle Swarm Optimization (TPSO) is proposed to solve global numerical optimization problems with continuous and discrete variables. This hybrid algorithm combines the well-known Particle Swarm Optimization Algorithm with the established Taguchi method, which has been an important tool for robust design.
T. O. Ting, H. C. Ting, T. S. Lee
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A Hybrid Particle Swarm Optimization for Numerical Optimization
2009 International Conference on Business Intelligence and Financial Engineering, 2009Particle Swarm Optimization (PSO) has shown its good performance on numerical function problems. However, on some multimodal functions the PSO easily suffers from premature convergence because of the rapid decline in velocity. This paper presents a hybrid PSO for numerical optimization, namely HPSO, which employs opposition-based learning (OBL) and a ...
Zhengang Ning +3 more
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On the role of optimality functions in numerical optimal control
Annual Reviews in Control, 2011Abstract We present a survey of optimality conditions in optimality function form and discuss their role in establishing that discretized optimal control problems are consistent approximations to the original optimal control problems.
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PSO-sono: A novel PSO variant for single-objective numerical optimization
Information Sciences, 2022Zhenyu Meng, Guojun Mao
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