Optimal blowup/quenching time for controlled autonomous ordinary differential equations

DOI10.3934/mcrf.2015.5.517zbMath1322.49037OpenAlexW2556233384MaRDI QIDQ2356560

Weihan Wang, Hong-wei Lou

Publication date: 30 July 2015

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2015.5.517

zbMATH Keywords

maximum principleordinary differential equationstransversality conditionsoptimal blowup timeoptimal quenching time

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items

Extendability and optimal control after quenching for some ordinary differential equations ⋮ Control of blowup and approximate optimality conditions for the wave equations ⋮ Optimal blowup time of diffusion equations with control ⋮ Optimal control problems for some ordinary differential equations with behavior of blowup or quenching

Cites Work

• Unnamed Item
• Unnamed Item
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Existence of neighboring feasible trajectories: applications to dynamic programming for state-constrained optimal control problems
• Quenching time optimal control for some ordinary differential equations
• Time optimal control problems for some non-smooth systems
• Blowup Time Optimal Control for Ordinary Differential Equations
• Optimal Control of the Blowup Time
• Optimal blowup time for controlled ordinary differential equations
• On the growth of solutions of quasi‐linear parabolic equations