Optimal Control of R & D Investment in a Techno-Metabolic System

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/4628 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/4628 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/4628 archive 351 disk0/00/00/59/38 2016-01-15 02:11:38 2021-08-27 17:16:55 2016-01-15 02:11:38 monograph show 2 Tarasyev A.M. 7340 Watanabe C. 1605 Optimal Control of R & D Investment in a Techno-Metabolic System pub iis_ecn iis_mod prog_dyn The nonlinear model of economic growth involving production, technology stock and their rates is considered. Two trends - growth and decline, in interaction between production and R&D investment are examined in the balance dynamics. The optimal control problem of R&D investment is studied for the balance dynamics and discounted utility function of consumption index. Pontryagin's optimality principle is applied for designing optimal nonlinear dynamics. The existence and uniqueness result is proved for the saddle type equilibrium and the convergence property of optimal trajectories is shown. Quasioptimal feedbacks of the rational type for balancing the dynamical system are proposed. Growth properties of production rate, R&D intensity and technology intensity are examined on generated trajectories. In the test example explicit formulas for the optimal feedback and the value function are obtained. 1999-01 published IR-99-001 IR-99-001 1610 323 public interim_report IIASA, Laxenburg, Austria 37 FALSE info:eu-repo/semantics/book