The present invention concerns a peptide of following formula I: R being a side chain having at least one heteroatom selected from sulfur, nitrogen and oxygen in a carbonyl form (C═O); R1 being either H or a lipophilic chain; R2 being either OH or a lipophilic chain. More particularly the present invention concerns a cosmetic composition comprising a peptide as recited above and a physiologically acceptable medium. Results on the activity of the compounds are obtained and on the general state of the skin and its appendages, in particular via the stimulation of extracellular matrix components.