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The archetypal demonstration of this unique motion-constraint was introduced by Purcell with the so-called \u201cscallop theorem\u201d. Scallop here is a minimal mathematical model of a swimmer composed by two arms connected via a hinge whose periodic motion (of opening and closing its arms) is not sufficient to achieve net displacement. Any source of asymmetry in the motion or in the forces\/torques experienced by such a scallop will break the time-reversibility imposed by the Stokes linearity and lead to subsequent propulsion of the scallop. However, little is known about the controllability of time-reversible scalloping systems. Here, we consider two individually non-controllable scallops swimming together. Under a suitable geometric assumption on the configuration of the system, it is proved that controllability can be achieved as a consequence of their hydrodynamic interaction. A detailed analysis of the control system of equations is carried out analytically by means of geometric control theory. We obtain an analytic expression for the controlled displacement after a prescribed sequence of controls as a function of the phase difference of the two scallops. Numerical validation of the theoretical results is presented with model predictions in further agreement with the literature.<\/jats:p>","DOI":"10.1007\/s11012-022-01563-z","type":"journal-article","created":{"date-parts":[[2022,8,10]],"date-time":"2022-08-10T16:02:55Z","timestamp":1660147375000},"page":"2187-2197","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Controlling non-controllable scallops"],"prefix":"10.1007","volume":"57","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6659-4268","authenticated-orcid":false,"given":"Marta","family":"Zoppello","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3528-6152","authenticated-orcid":false,"given":"Marco","family":"Morandotti","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8053-9249","authenticated-orcid":false,"given":"Hermes","family":"Bloomfield-Gad\u00ealha","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,8,10]]},"reference":[{"key":"1563_CR1","doi-asserted-by":"crossref","unstructured":"Lighthill, J (1975) Mathematical Biofluiddynamics. 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