Step-down of Inhaled Corticosteroids (ICS) in Non-eosinophilic Asthmatics

For patients whose asthma is not controlled at the beginning of the study, a step-up of the treatment is planned to the step 4 of Global Initiative for Asthma (GINA). This step-up will last for 3 months and will permit to ensure that these patients achieve the best possible level of asthma control. A progressive step-down of the inhaled corticosteroids (ICS) will then be achieved. For patients whose asthma is controlled at the beginning of the study, a progressive step-down of the ICS will be directly achieved. The progressive step-down of the ICS dose will be undertaken every 3 months according to the dose levels defined by GINA guidelines (from high to low daily dose) until a complete cessation of the ICS for 6 months. Other associated asthma treatment of asthma will be kept unchanged. At each quarterly visit, a clinical composite outcome will be measured, for each patient. This composite outcome includes the score of asthma control questionnaire (ACQ) and the number of exacerbations. This outcome will determine at each visit if patients continue the study (success criterion) or stop the study (failure criterion). The success criterion is defined in the section "Current Primary Outcome"