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Titlebook: Control Systems and Mathematical Methods in Economics; Essays in Honor of V Gustav Feichtinger,Raimund M. Kovacevic,Gernot Tra Book 2018 Sp

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Discrete Filippov-Type Stability for One-Sided Lipschitzian Difference Inclusionsn with perturbations in the set of initial points, in the right-hand side and in the state variable. We study the cases in which the right-hand side of the inclusion is not necessarily Lipschitz, but satisfies a weaker one-sided Lipschitz (OSL) or strengthened one-sided Lipschitz (SOSL) condition. T
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Solution Stability and Path-Following for a Class of Generalized Equationsexistence of a Lipschitz selection of a solution mapping associated with a parametric generalized equation is proved. An inexact Euler-Newton continuation method for tracking a solution trajectory is introduced and demonstrated to have an accuracy of order .(..). The theoretical results are applied
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On the Generalized Duality Principle for State-Constrained Control and State Estimation Under Impulsions with that of guaranteed state estimation under unknown but bounded inputs taken within the same range. Indicated is a similarity between duality of these problems in the systems sense and in the sense of mathematical programming.
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Strict Dissipativity Implies Turnpike Behavior for Time-Varying Discrete Time Optimal Control Proble, under suitable conditions, a time-varying strict dissipativity notion implies the turnpike property and a continuity property of the optimal value function. We also discuss the relation of strict dissipativity to necessary optimality conditions and illustrate our results by an example.
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Optimal Exploitation of Renewable Resources: Lessons in Sustainability from an Optimal Growth Model d to the output of the economy through a Cobb-Douglas type production function with exogenously driven knowledge stock. The model is formulated as an infinite-horizon optimal control problem with unbounded set of control constraints and non-concave Hamiltonian. We transform the original problem to a
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Dynamic Models of the Firm with Green Energy and Goodwills as state variables goodwill and green capital stock. Following current practice in companies like Tesla and Google, we take into account that the use of green energy has positive goodwill effects. As a solution, we find an optimal trajectory that overshoots before reaching a stable steady state.
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