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Table of Contents:

Chapter One: Introduction
1.1 Background of the Study
1.2 Research Problem
1.3 Research Questions
1.4 Significance of the Study

Chapter Two: Literature Review
2.1 Overview of Calculus of Variations
2.2 Applications of Calculus of Variations in Robotics
2.3 Overview of Optimal Control
2.4 Applications of Optimal Control in Robotics
2.5 Previous Studies on Calculus of Variations and Optimal Control in Robotics
2.6 Gaps in the Existing Literature

Chapter Three: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Research Variables
3.5 Research Hypotheses

Chapter Four: Discussion of Findings
4.1 Analysis of Data
4.2 Interpretation of Results
4.3 Comparison with Existing Literature
4.4 Implications of Findings

Chapter Five: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Contributions to the Field
5.4 Recommendations for Future Research

Brief Overview of Thesis:

The thesis on Calculus of Variations and Optimal Control in Robotics explores the application of mathematical optimization techniques in robotic systems. Calculus of Variations is used to find the optimal path or trajectory for a robot to follow, while Optimal Control is used to determine the control inputs that minimize a certain cost function. By combining these two techniques, researchers aim to improve the efficiency and performance of robotic systems in various applications.

The literature review examines previous studies on the topic, highlighting the gaps and shortcomings in the existing research. The research methodology section describes the design of the study, data collection methods, and analysis techniques used to investigate the research questions.

The discussion of findings chapter analyzes the data collected and interprets the results in the context of the existing literature. The conclusion and summary chapter presents a summary of the findings, conclusions drawn from the study, contributions to the field, and recommendations for future research.

Overall, the thesis aims to contribute to the growing body of knowledge on the application of Calculus of Variations and Optimal Control in robotics, with the ultimate goal of improving the performance and efficiency of robotic systems.

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