Necessary and sufficient conditions for optimal control of quasilinear partial differential systems

DOI10.1007/BF00934748zbMath0518.49016MaRDI QIDQ1053976

Suresh P. Sethi, N. A. Derzko, Gerald L. Thompson

Publication date: 1984

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

zbMATH Keywords

maximized Hamiltonianconcavity assumptionfirst-order necessary and sufficient conditionsn-dimensional Green's theoremquasilinear distributed- parameter optimal control problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Integral representations of solutions to PDEs (35C15) Nonlinear higher-order PDEs (35G20)

Related Items (11)

Land use dynamics and the environment ⋮ Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control ⋮ Sufficient optimality conditions for nonconvex control problems with state constraints ⋮ The spatial AK model and the Pontryagin maximum principle ⋮ Harvesting altruism in open-source software development ⋮ A review of dynamic Stackelberg game models ⋮ Pattern formation, spatial externalities and regulation in coupled economic-ecological systems ⋮ Turnpike properties for a class of piecewise deterministic systems arising in manufacturing flow control ⋮ On the optimality and stability of competitive paths in continuous time growth models ⋮ Optimal control of a class of systems with continuous lags: Dynamic programming approach and economic interpretations ⋮ On the use of Hamiltonian and maximized Hamiltonian in nondifferentiable control theory

Cites Work

• Unnamed Item
• Unnamed Item
• Sufficient conditions for the optimal control of a class of systems with continuous lags
• Differential operators on Riemannian manifolds
• Distributed parameter systems approach to the optimal cattle ranching problem
• Optimum inventory and product quality control with deterministic and stochastic deterioration--An application of distributed parameters control systems
• Sufficient Conditions for the Optimal Control of Nonlinear Systems

This page was built for publication: Necessary and sufficient conditions for optimal control of quasilinear partial differential systems