Local stability of stationary states in discounted optimal control systems

DOI10.1007/BF00939953zbMath0793.90013MaRDI QIDQ1321140

Gerhard Sorger

Publication date: 27 April 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

optimal economic growthdiscounted utility maximizationlocal optimality and stability conditionspositive rate of discountingstationary solutions of autonomous optimal control

Mathematics Subject Classification ID

Economic growth models (91B62) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (3)

Strong concavity properties of indirect utility functions in multisector optimal growth models ⋮ Stabilization of capital accumulation games ⋮ On the local stability of the solution to optimal control problems

Cites Work

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• The saddle point property in Hamiltonian systems
• A Schur decomposition for Hamiltonian matrices
• Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate
• Global asymptotic stability of optimal control systems with applications to the theory of economic growth
• On the optimality and stability of competitive paths in continuous time growth models
• Sufficient Conditions for the Generalized Problem of Bolza
• Stability of Regular Equilibria and the Correspondence Principle for Symmetric Variational Problems
• Stability of Equilibrium in Dynamic Models of Capital Theory
• The Stability of Equilibrium

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