Existence and global asymptotic stability of optimal trajectories for a class of infinite-horizon, nonconvex systems

DOI10.1007/BF00934475zbMath0417.49023OpenAlexW2019911384MaRDI QIDQ755136

Alain B. Haurie

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf00934475

zbMATH Keywords

stabilityoptimal controlturnpike propertyexistence theoryeconomic systems

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving ordinary differential equations (49K15)

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Cites Work

• Unnamed Item
• Existence theorems for Lagrange control problems with unbounded time domain
• Optimal control on an infinite time horizon
• 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
• The structure and stability of competitive dynamical systems
• Further Aspects of Turnpike Theory in Continuous Time With Applications
• Turnpike Theory
• On Existence of Overtaking Optimal Trajectories Over an Infinite Time Horizon
• On Existence of Weakly Maximal Programmes in a Multi-Sector Economy