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Explore the intricacies of nonholonomic systems with inequality constraints in this 18-minute conference talk presented at GSI. Delve into the fundamental concepts and challenges associated with these complex systems, gaining insights into their behavior and applications. Examine the mathematical frameworks used to model and analyze nonholonomic systems, with a particular focus on the impact of inequality constraints. Discover how these constraints affect system dynamics and control strategies. Learn about real-world examples and potential applications of nonholonomic systems with inequality constraints across various fields, such as robotics, vehicle dynamics, and aerospace engineering.