The Pontryagin Maximum Principle and Transversality Conditions for a Class of Optimal Control Problems with Infinite Time Horizons
From MaRDI portal
Publication:5317085
DOI10.1137/S0363012903427518zbMath1072.49015MaRDI QIDQ5317085
S. M. Aseev, Arkadii V. Kryazhimskij
Publication date: 15 September 2005
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
optimal controlinfinite horizonoptimal economic growthPontryagin maximum principletransversality conditions
Economic growth models (91B62) Optimality conditions for problems involving ordinary differential equations (49K15)
Related Items (51)
Maximum principle for infinite-horizon optimal control problems under weak regularity assumptions ⋮ On the boundedness of optimal controls in infinite-horizon problems ⋮ The existence, uniqueness, and optimality of the terminal wealth depletion time in life-cycle models of saving under uncertain lifetime and borrowing constraint ⋮ A gradient-based algorithm for non-smooth constrained optimization problems governed by discrete-time nonlinear equations with application to long-term hydrothermal optimal scheduling control ⋮ Necessity of limiting co-state arcs in Bolza-type infinite horizon problem ⋮ On a class of optimal control problems arising in mathematical economics ⋮ Necessary optimality conditions for nonautonomous control systems with an infinite time horizon ⋮ Optimal control of bioprocess systems using hybrid numerical optimization algorithms ⋮ Optimal control of parabolic systems with infinite time horizons ⋮ Pontryagin principle in abstract spaces ⋮ SIR economic epidemiological models with disease induced mortality ⋮ Value function, relaxation, and transversality conditions in infinite horizon optimal control ⋮ Existence of an optimal control in infinite-horizon problems with unbounded set of control constraints ⋮ On the infinite-horizon optimal control of age-structured systems ⋮ The Pontryagin maximum principle for nonlinear optimal control problems with infinite horizon ⋮ Optimal open-loop strategies in a debt management problem ⋮ Infinite Horizon Optimal Control Problems with Discount Factor on the State, Part II: Analysis of the Control Problem ⋮ Robust optimal control of logical control networks with function perturbation ⋮ Spatial growth theory: optimality and spatial heterogeneity ⋮ Infinite horizon optimal control for a general class of semilinear parabolic equations ⋮ Infinite Horizon Optimal Control Problems with Discount Factor on the State, Part I: Analysis of the Controlled State Equation ⋮ Necessary conditions in infinite-horizon control problems that need no asymptotic assumptions ⋮ Another view of the maximum principle for infinite-horizon optimal control problems in economics ⋮ Adjoint variables and intertemporal prices in infinite-horizon optimal control problems ⋮ Optimal control of nonlinear systems with integer‐valued control inputs and stochastic constraints ⋮ Optimality conditions for infinite horizon control problems with state constraints ⋮ Accessibility and stabilization by infinite horizon optimal control with negative discounting ⋮ On Necessary Optimality Conditions for Ramsey-Type Problems ⋮ Necessity of vanishing shadow price in infinite horizon control problems ⋮ Stability of a turnpike phenomenon for approximate solutions of nonautonomous discrete-time optimal control systems ⋮ Agreeable solutions of discrete time optimal control problems ⋮ Infinite Horizon Optimal Control of Non-Convex Problems Under State Constraints ⋮ On necessary optimality conditions for infinite-horizon economic growth problems with locally unbounded instantaneous utility function ⋮ Pareto optimality in infinite horizon linear quadratic differential games ⋮ Optimal control of counter-terrorism tactics ⋮ Necessary Optimality Conditions for Improper Infinite-Horizon Control Problems ⋮ First-order necessary optimality conditions for infinite horizon optimal control problems with linear dynamics and convex objective ⋮ Value functions and transversality conditions for infinite-horizon optimal control problems ⋮ Optimal Exploitation of Renewable Resources: Lessons in Sustainability from an Optimal Growth Model of Natural Resource Consumption ⋮ On some properties of the adjoint variable in the relations of the Pontryagin maximum principle for optimal economic growth problems ⋮ Shadow prices in infinite-horizon optimal control problems with dominating discounts ⋮ Value Functions and Transversality Conditions for Infinite Horizon Optimal Control Problems ⋮ The Pontryagin maximum principle and problems of optimal economic growth ⋮ ROLE OF MEDIA COVERAGE IN MITIGATING AN EPIDEMIC OUTBREAK: AN OPTIMAL CONTROL MODEL ⋮ Distributed optimal control models in environmental economics: a review ⋮ Optimal policies in the Dasgupta-Heal-Solow-Stiglitz model under nonconstant returns to scale ⋮ Adaptive numerical approach for optimal control of a single train ⋮ Optimal control of terrorism and global reputation: a case study with novel threshold behavior ⋮ Sustainable tourism ⋮ When does stabilizability imply the existence of infinite horizon optimal control in nonlinear systems? ⋮ Dynamic oligopoly with sticky prices: off-steady-state analysis
This page was built for publication: The Pontryagin Maximum Principle and Transversality Conditions for a Class of Optimal Control Problems with Infinite Time Horizons
