  This paper investigates a well-posedness property of parametric constraint
systems named here Robinson stability. Based on advanced tools of variational
analysis and generalized differentiation, we derive first-order and
second-order conditions for this property under minimal constraint
qualifications and establish relationships of Robinson stability with other
well-posedness properties in variational analysis and optimization. The results
obtained are applied to robust Lipschitzian stability of parametric variational
systems.
