...unless you can find a way to repackage the embedded knowledge.

everything builds on prior knowledge, so rapid innovation may imply mean more rapid innovation

Could be useful to compare with industrialised economy based upon production of goods. More rapid technological advances/innovation may imply more rapid obsolescence of goods. In knowledge-based economy, rapid innovation could similarly imply faster obsolescence of ideas, which fade into history. In both cases, everything new builds on the prior....

This is a very interesting query. Obsolescence is in large part a consequence of rapidly evolving technology and the risk of it is most significant for technology-based organizations or organizations with products or services that are based on technological advantages; that said, one must appreciate that obsolescence can also be planned. To note, this query rests on a rather narrow definition of innovation: innovation does not just relate to products, services, processes, and inputs but also to markets and forms of organization; further, innovation in business models is all the rage and there is also talk of (and action toward) social innovation.

PS: The project at https://www.researchgate.net/project/Corporate-Creativity-and-Innovation may be of interest: it hosts 34 references.

I agree with Dr. Oliver and Prof. Remi. Best regards

Rapid innovation can be incremental innovation, i.e., innovations having very small improvements either as features or functionality .Incremental innovation tend to be small improvements in a product -- thus it is easy to see how this so-called "rapid" innovation occurs. Coupled to incremental innovation is the notion of innovativeness in use of a product. Many new products fail to achieve the planned or expected revenues because of users who having bought a product discard it, while some others may find some other use than intended by the developers. Incremental innovation could result in obsolescence

Coming to disruptive innovation, they do not occur that rapidly given what DISRUPTION means. But once a disruptive innovation appears many previous products will become obsolete as customers switch to the new innovation, assuming these products are affordable to potential customers.

The above is a short response; a more complete response will be longer and more detailed with many if's, but's and however's included in it.

Not necessarily; when a organization don´t have capabilities in R&D, rapid innovation normally is based on knowledge and technology transfer strategies, in this cases is possible a rapid obsolescence if the access to cross-border knowledge is restrictec. An example is many software companies. In other hand, when the organization develop R&D and absorptive capabilities, and implement practices how prospective, roadmapping, competitive intelligence, integrated with Product Life Cycle Management; the obsolescence is correlated with disruptive innovations, and this is not common.