Principal eigenvalues for k-Hessian operators by maximum principle methods
For fully nonlinear k-Hessian operators on bounded strictly (k-1)-convex domains of Euclidian space, a characterization of the principal eigenvalue associated to a k-convex and negative principal eigenfunction will be given as the supremum over values of
Payne, Kevin
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Pontryagin's maximum principle and sufficient conditions for optimality in the L_0-metric
Consider the following optimal control problem:newline minimize Jleft(uright)=int_{t_{2}}^{t_{1}}f^{0}left(x,u,tright) dt+K_{0}left(x_{1}left(t_{1}right),x_{2}left(t_{2}right)right) subject to overset{cdot}to{x}=fleft(x,u,tright), tinleft[t_1,t_2right ...
Arutyunov A.V., Walczak Stanisław
core
Geometric approach to Pontryagin's Maximum Principle
Since the second half of the 20th century, Pontryagin’s Maximum Principle has been widely discussed and used as a method to solve optimal control problems in medicine, robotics, finance, engineering, astronomy.
Muñoz Lecanda, Miguel Carlos +1 more
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Media campaigns, early diagnosis, isolation and treatment on bacterial meningitis outbreak prevention: A modeling study. [PDF]
Koutou O +4 more
europepmc +1 more source
On Pontryagin's Principle for the Optimal Control of some State Equations with Memory
We prove a form of Pontryagin's principle for a class of optimal control problems governed by a state equation with memory.
Tahraoui, Rabah +2 more
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A novel mathematical modeling and optimal control analysis of monkeypox transmission incorporating double-dose vaccination strategies: Insights from the recent outbreak. [PDF]
Li S, Sada N, Ullah S, Riaz MB.
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Casas, Eduardo. (1995). Pontryagin's principle for state-constrained boundary control problems of semilinear parabolic equations.
Casas, Eduardo
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Analysis of an SIR model: preventive measures, bounded multiplicative random perturbations and optimal control strategies. [PDF]
Karaji PT, Nyamoradi N.
europepmc +1 more source
The Deterministic Impulse Control Maximum Principle in Operations Research: Necessary and Sufficient Optimality Conditions (replaces CentER DP 2011-052) [PDF]
This paper considers a class of optimal control problems that allows jumps in the state variable. We present the necessary optimality conditions of the Impulse Control Maximum Principle based on the current value formulation.
Chahim, M., Hartl, R.F., Kort, P.M.
core
Dynamics of an SEIDW epidemic model for primary amebic meningoencephalitis threshold analysis, bifurcation, and optimal environmental control. [PDF]
G R, T P.
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