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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/13269 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/13269 http://eprints.org/relation/issmallThumbnailVersionOf https://pure.iiasa.ac.at/id/document/13269 archive 351 disk0/00/00/90/49 2016-01-15 08:42:56 2021-08-27 17:20:57 2016-01-15 08:42:56 conference_item show 2 Watanabe C. 1605 Shin J. Heikkinen J. Tarasyev A.M. 7340 pub iis_met prog_dyn Optimal control; Optimal trajectory; Dynamics; Open innovation; Functionality development Sustainable functionality development has become crucial option for firm's survival in a new paradigm confronting a post-information society. This can be realized by earlier emergence of functionality development. In this context, effective utilization of external innovation resources leads to follower substitution for leader in open innovation. This substitution induces advancements of innovative goods by substituting gratification of their consumption for resistance to them. Thus, optimization of utmost gratification of consumption under certain investment would be crucial for firm strategy. Optimal functionality development dynamics is analyzed in this paper by integrating production, diffusion and consumption functions, and using Pontryagin maximum principle. The result demonstrates that suprafunctionality can be developed through gratification of consumption substitution for resistance to new innovation. 2009-05 published http://www.ifac-papersonline.net/Detailed/41903.html XP-09-028 In:; Proceedings of CAO'09: IFAC Workshop on Control Applications of Optimisation; 6-8 May 2009, University of Jyvaeskylae, Agora, Finland <www.ifac-papersonline.net/Detailed/41903.html> 323 1610 public Proceedings of CAO'09: IFAC Workshop on Control Applications of Optimisation 6-8 May 2009 workshop FALSE info:eu-repo/semantics/conferenceObject