Nonholonomic systems are mechanical systems with constraints that depend on the path taken, rather than just the position, making them non-integrable. These systems are characterized by differential constraints that limit the velocities, leading to complex behavior in motion planning and control, such as in wheeled robots and rolling bodies.

Nonholonomic Systems

Mechanical systems are assemblies of interconnected components designed to manage forces and movement, often converting or transmitting energy to perform a specific task. They are fundamental in engineering, encompassing a wide range of applications from simple machines to complex industrial machinery.

Mechanical Systems

Constraints that depend on the path

Differential constraints are mathematical conditions imposed on the derivatives of functions, often used in optimization problems and control systems to ensure solutions adhere to specific dynamic behaviors. They are crucial in fields such as robotics and physics, where they help model the feasible paths or trajectories that a system can follow under given physical laws or limitations.

Differential Constraints

Limit the velocities

Complex behavior in motion planning and control

Wheeled robots are machines that move around using wheels, just like toy cars. They can help us do lots of things, like cleaning floors or exploring places that are hard to reach.

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