Tulzcyjew, Włodzimierz M.; Urbański, Paweł Constitutive sets of convex static systems. (English) Zbl 1146.70009 Rep. Math. Phys. 60, No. 2, 199-219 (2007). Summary: We formulate the principle of virtual work for dissipative systems. Partially controlled systems are discussed, and the concept of a generating families of forms is introduced. The notion of a critical point of a family of convex forms is introduced and discussed. A number of examples are given. MSC: 70G75 Variational methods for problems in mechanics 70Q05 Control of mechanical systems 49S05 Variational principles of physics Keywords:Legendre transform; critical point; partially controlled system; principle of virtual work PDFBibTeX XMLCite \textit{W. M. Tulzcyjew} and \textit{P. Urbański}, Rep. Math. Phys. 60, No. 2, 199--219 (2007; Zbl 1146.70009) Full Text: DOI arXiv References: [1] Marmo, G.; Tulczyjew, W.; Urbański, R., Dynamics of autonomous systems with external forces, Acta Phys. Polon., B 33, 1181-1240 (2002) · Zbl 1066.70011 [2] Rockafellar, R., (Convex Analysis (1970), Princeton University Press: Princeton University Press Princeton) · Zbl 0193.18401 [3] Tulczyjew, W. M., The origin of variational principles, (Grabowski, J.; Marrno, G.; Urbafiski, R., Classical and Quantum lntegrability (2003), Banach Center Publications 59: Banach Center Publications 59 Warsaw), 41-75 · Zbl 1074.70010 [4] Tulczyjew, W. M.; Urbański, E., A slow and careful Legendre transformation for singular Lagrangians, Acta Phys. Polon., B 30, 2909-2978 (1999) · Zbl 1010.70015 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.