Advances in Dynamics Optimization and Computation A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday 1st edition Oliver 3030512649 9783030512644

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Product details:

• ISBN-10: 3030512649 
• ISBN-13: 9783030512644
• Author: Michael Dellnitz

This book presents a collection of papers on recent advances in problems concerning dynamics, optimal control and optimization. In many chapters, computational techniques play a central role. Set-oriented techniques feature prominently throughout the book, yielding state-of-the-art algorithms for computing general invariant sets, constructing globally optimal controllers and solving multi-objective optimization problems.

Table of contents:

1. A Continuation Approach to Computing Phase Resetting Curves
2. Input-Output Networks, Singularity Theory, and Homeostasis
3. The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems
4. Set-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard Convection
5. Singular Value Decomposition of Operators on Reproducing Kernel Hilbert Spaces
6. A Weak Characterization of Slow Variables in Stochastic Dynamical Systems
7. Analysis and Simulation of Extremes and Rare Events in Complex Systems
8. Dynamical Systems Theory and Algorithms for NP-hard Problems
9. Optimal Control
10. Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach
11. POD-Based Mixed-Integer Optimal Control of Evolution Systems
12. From Bellman to Dijkstra: Set-Oriented Construction of Globally Optimal Controllers
13. An Optimal Control Derivation of Nonlinear Smoothing Equations
14. Optimization
15. Structural Properties of Pareto Fronts: The Occurrence of Dents in Classical and Parametric Multiobjective Optimization Problems
16. An Image Set-Oriented Method for the Numerical Treatment of Bi-Level Multi-objective Optimization Problems
17. The Gradient Subspace Approximation and Its Application to Bi-obje

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