Abstract
0 Glossary Infinite dimensional control system. A infinite dimensional control system is a dynamical system whose state lies in an infinite dimensional vector space —typically a Partial Differential Equation (PDE)—, and depending on some parameter to be chosen, called the control. Exact controllability. The exact controllability property is the possibility to steer the state of the system from any initial data to any target by choosing the control as a function of time in an appropriate way. Approximate controllability. The approximate controllability property is the possibility to steer the state of the system from any initial data to a state arbitrarily close to a target by choosing a suitable control. Controllability to trajectories. The controllability to trajectories is the possibility to make the state of the system join some prescribed trajectory by choosing a suitable control.
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