Topic
Infinite-dimensional optimization
About: Infinite-dimensional optimization is a research topic. Over the lifetime, 115 publications have been published within this topic receiving 2019 citations.
Papers published on a yearly basis
Papers
1 Jan 1999
Abstract: Part I. Finite Dimensional Control Problems: 1. Calculus of variations and control theory 2. Optimal control problems without target conditions 3. Abstract minimization problems: the minimum principle for the time optimal problem 4. Abstract minimization problems: the minimum principle for general optimal control problems Part II. Infinite Dimensional Control Problems: 5. Differential equations in Banach spaces and semigroup theory 6. Abstract minimization problems in Hilbert spaces: applications to hyperbolic control systems 7. Abstract minimization problems in Banach spaces: abstract parabolic linear and semilinear equations 8. Interpolation and domains of fractional powers 9. Linear control systems 10. Optimal control problems with state constraints 11. Optimal control problems with state constraints: The abstract parabolic case Part III. Relaxed Controls: 12. Spaces of relaxed controls: topology and measure theory 13. Relaxed controls in finite dimensional systems: existence theory 14. Relaxed controls in infinite dimensional spaces: existence theory.
197 citations
Book•
1 Jan 1983
TL;DR: In this paper, Ekeland and Turnbull are mainly concerned with existence theory and seek to determine whether, when given an optimization problem consisting of minimizing a functional over some feasible set, an optimal solution may be found.
Abstract: In this volume, Ekeland and Turnbull are mainly concerned with existence theory They seek to determine whether, when given an optimization problem consisting of minimizing a functional over some feasible set, an optimal solution--a minimizer--may be found
168 citations
1 Jan 1999
122 citations
TL;DR: An algorithm which identifies the best achievable performance over all linear time-invariant decentralized controllers is presented, which employs a global optimization approach to the solution of these finite dimensional approximating problems.
Abstract: In this paper, a novel parameterization of all decentralized stabilizing controllers is employed in mathematically formulating the best achievable decentralized performance problem as an infinite dimensional optimization problem, Finite dimensional optimization problems are then constructed that have values arbitrarily close to this infinite dimensional problem. An algorithm which identifies the best achievable performance over all linear time-invariant decentralized controllers is then presented. It employs a global optimization approach to the solution of these finite dimensional approximating problems. >
86 citations
TL;DR: Differential evolution (DE) was used for solving optimal control and parameter selection problems of fed-batch fermentation involving general constraints on state variables as mentioned in this paper, which yielded an increase in productivity of approximately 20% in the case studies considered here.
71 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2022 | 1 |
| 2021 | 10 |
| 2020 | 2 |
| 2019 | 6 |
| 2018 | 2 |
| 2017 | 8 |