The peptidic compound comprises at least an aminoacid which is lysine, ornithine, diaminopropionic acid or diaminobutyric acid or a derivative of these aminoacids, on which a carboxylic acid is grafted via a peptidic bound on the nitrogen of the lateral chain, said carboxylic acid comprising a (poly)cycle or (poly)heterocycle. Preferably, the grafted carboxylic acid is an aminoacid or a derivative, in particular selected from, a proline, a hydroxyproline or pyroglutamic acid.The peptidic compound can stimulate the synthesis of the main molecules constituting the extracellular matrix of the skin, especially collagen 1 and 4 and elastin. It can be used for topical cosmetic treatment such as a global anti-aging treatment, or for specific activities, including anti-wrinkles, moisturizing, to improve the mechanical properties of the skin, firmness/tone/elasticity/flexibility, to increase density and volume of the skin, improve skin radiance, for a restructuring effect and/or to fight stretch marks.
