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Deterministic Control Theory
In this chapter we focus our attention on the open loop control of deterministic problems. We will see that the language of deterministic control...
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Optimal Control of Stochastic Processes
Many control problems appearing for complex systems are subject to imperfectly known disturbances. As we have learned in the previous chapter, these...
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Optimization Problems
Several problems, for example Pontryagin’s maximum principle or the minimax problems of game theoretical approaches, require the determination of an...
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Chaos Control
In the previous chapters we have discussed the control theory from a mechanical and field theoretical point of view. This control theory is, of...
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Control of Fields
The theoretical representation of classical mechanics and field theory is very similar in some ways. This also applies to the axiomatic structure. It...
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Nonequilibrium Statistical Physics
Although most many-body systems are beyond the technical possibilities of the mathematical calculus of mechanics, we are able to calculate the...
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Game Theory
All systems analyzed up to now were more or less predictable. That means, we had some information about the initial state and the dynamics of the...
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Introduction
Control theory plays an important role in several .elds of economics, technological sciences, and mathematics. On the other hand, control theory is...
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Filters and Predictors
Suppose we have a system under control, described by dynamical equations of motion for the N-dimensional state vector X(t), and we have obtained an...
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Linear Quadratic Problems
Suppose we have a deterministic system under control, described by dynamical equations of motion for an N-dimensional state vector X(t). Usually,...
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Convex Predictor–Nonconvex Corrector Optimization Strategy with Application to Signal Decomposition
Many tasks in real life scenarios can be naturally formulated as nonconvex optimization problems. Unfortunately, to date, the iterative numerical...
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On the thermal flow through a porous annular region
This paper reports the analytical results on the non-isothermal stationary fluid flow inside thin vertical annular region formed by two co-axial...
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On an accurate numerical integration for the triangular and tetrahedral spectral finite elements
In the triangular/tetrahedral spectral finite elements, we apply a bilinear/trilinear transformation to map a reference square/cube to a...
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The Null Controllability of Transmission Wave-Schrödinger System with a Boundary Control
This paper is devoted to investigate the null controllability of the transmission wave-Schrödinger system with only one boundary control. The domain...
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Tropical convexity in location problems
We investigate location problems where the optimal solution is found within the tropical convex hull of the given input points. Our initial focus is...
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Further analysis of multilevel Stein variational gradient descent with an application to the Bayesian inference of glacier ice models
Multilevel Stein variational gradient descent is a method for particle-based variational inference that leverages hierarchies of surrogate target...
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FE4NorOMAS: A Distributed Fuzzy Enforcement Approach for Normative Open Multi-Agent Systems
In the Normative Multi-agent Systems (NorMAS) field, norms are designed and specified as regulatory mechanisms intending to outline the ideal and...
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On solving a rank regularized minimization problem via equivalent factorized column-sparse regularized models
Rank regularized minimization problem is an ideal model for the low-rank matrix completion/recovery problem. The matrix factorization approach can...
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An adaptive time-step** Fourier pseudo-spectral method for the Zakharov-Rubenchik equation
An adaptive time-step** scheme is developed for the Zakharov-Rubenchik system to resolve the multiple time scales accurately and to improve the...