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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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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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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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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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Technology-Aware Enterprise Modeling: Challenging the Model-Driven Architecture Paradigm
We propose a holistic design approach that extends a traditional Model Driven Architecture paradigm with the bottom-up constraint analysis and...
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Evaluating Large Language Models in Process Mining: Capabilities, Benchmarks, and Evaluation Strategies
Using Large Language Models (LLMs) for Process Mining (PM) tasks is becoming increasingly essential, and initial approaches yield promising results....
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Introducing Agile Controllability in Temporal Business Processes
Dynamic controllability is currently regarded as the most adequate notion for checking the temporal correctness of business processes with temporal...
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Enhancing Research Clarity: Ontology-Based Modeling of Argumentation in RPML
Navigating the research process, from problem identification to argumentation construction, challenges novice researchers. This study introduces RPML...
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A Hierarchical Knowledge Framework for Digital Twins of Buildings and Their Energy Systems (Position Paper)
This position paper explores applying the Data, Information, Knowledge, Wisdom (DIKW) framework to Digital Twins of buildings and their energy...
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Enhancing Our Understanding of Business Process Model Comprehension Using Biometric Data
Much research has been done on the comprehension and development of conceptual models. In related areas such as linguistics and software engineering...
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Could a Large Language Model Contribute Significantly to Requirements Analysis?
This research-in-progress paper presents a quasi-experiment in which three different ChatGPT-4 prompts (for system structure, analysis, and...
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An Explanation User Interface for a Knowledge Graph-Based XAI Approach to Process Analysis
In consulting practice, effective use of AI technologies presupposes consultant’s and client’s ability to understand generated results. Our knowledge...
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A Context-Aware Framework to Support Decision-Making in Production Planning
In the scope of Industry 4.0, this paper showcases the design and implementation of a context-aware decision-making framework that simulates the...
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Implementation Patterns for Zone Architectures in Enterprise-Grade Data Lakes
In industry practice, zone models have been established as data lake architectures of choice to enable the reuse of data preparation, data modeling,...