Titlebook: Infinite Horizon Optimal Control; Deterministic and St Dean A. Carlson,Alain B. Haurie,Arie Leizarowitz Book 1991Latest edition Springer-Ve

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Stochastic Control with the Overtaking Criterion,s; nevertheless we will mainly concentrate on controlled diffusion processes in ?.. Other systems which may be studied similarly are controlled Markov chains with finite (or denumerable) number of states, and random evolution piecewise deterministic controlled systems, which will be further considered in Chapter 11.

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Asymptotic Stability with a Discounted Criterion; Global and Local Analysis,In this chapter, the global asymptotic stability (GAS) property of optimally controlled systems with an infinite time horizon will be further explored by considering the case where the criterion has the following form:

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Control of Systems with Integrodifferential Equations,It has long been recognized that time delays are important in formulating economic models. This was observed as early as 1935 when Kalecki [109] introduced a class of such models described by linear differential-difference equations. These models were further developed by Leontief [125] and others. To quote Gandolfo’s 1971 text [82]:

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Book 1991Latest editione intervals. For these problems the performance criterion is described by an improper integral and it is possible that, when evaluated at a given admissible element, this criterion is unbounded. To cope with this divergence new optimality concepts, referred to here as overtaking optimality, weakly o