Optimal control for a nonlinear age-structured population dynamics model.
Optimal control for a nonlinear population dynamics problem.
Optimal Control of a Cancer Cell Model with Delay
In this paper, we look at a model depicting the relationship of cancer cells in different development stages with immune cells and a cell cycle specific chemotherapy drug. The model includes a constant delay in the mitotic phase. By applying optimal control theory, we seek to minimize the cost associated with the chemotherapy drug and to minimize the number of tumor cells. Global existence of a solution has been shown for this model and existence...
Optimal control of a production system with inventory-level-dependent demand.
Optimal control of a waste water cleaning plant.
Optimal control of an epidemic through educational campaigns.
Optimal control of combined therapy in a single strain HIV-1 model.
Optimal control of deteriorating production inventory systems.
Optimal control of HIV dynamic using embedding method.
Optimal control of mechanical systems.
Optimal control of production inventory systems with deteriorating items and dynamic costs.
Optimal design of cylindrical shells
The present paper studies an optimization problem of dynamically loaded cylindrical tubes. This is a problem of linear elasticity theory. As we search for the optimal thickness of the tube which minimizes the displacement under forces, this is a problem of shape optimization. The mathematical model is given by a differential equation (ODE and PDE, respectively); the mechanical problem is described as an optimal control problem. We consider both the stationary (time independent) and the transient...
Optimal nonlinear transformations of random variables
In this paper we deepen the study of the nonlinear principal components introduced by Salinelli in 1998, referring to a real random variable. New insights on their probabilistic and statistical meaning are given with some properties. An estimation procedure based on spline functions, adapting to a statistical framework the classical Rayleigh–Ritz method, is introduced. Asymptotic properties of the estimator are proved, providing an upper bound for the rate of convergence under suitable mild conditions....
Optimal placement of controls for a one-dimensional active noise control problem
In this paper, we investigate the optimal location of secondary sources (controls) to enhance the reduction of the noise field in a one-dimensional acoustic cavity. We first formulate the active control strategy as a linear quadratic tracking (LQT) problem in a Hilbert space, and then formulate the optimization problem as minimizing an appropriate performance criterion based on the LQT cost function with respect to the location of the controls. A numerical scheme based on the Legendre–tau method...
Optimisation of time-scheduled regimen for anti-cancer drug infusion
The chronotherapy concept takes advantage of the circadian rhythm of cells physiology in maximising a treatment efficacy on its target while minimising its toxicity on healthy organs. The object of the present paper is to investigate mathematically and numerically optimal strategies in cancer chronotherapy. To this end a mathematical model describing the time evolution of efficiency and toxicity of an oxaliplatin anti-tumour treatment has been derived. We then applied an optimal control technique...
Optimisation of time-scheduled regimen for anti-cancer drug infusion
The chronotherapy concept takes advantage of the circadian rhythm of cells physiology in maximising a treatment efficacy on its target while minimising its toxicity on healthy organs. The object of the present paper is to investigate mathematically and numerically optimal strategies in cancer chronotherapy. To this end a mathematical model describing the time evolution of efficiency and toxicity of an oxaliplatin anti-tumour treatment has been derived. We then applied an optimal control...
Optimization of discrete-discrete hybrid dynamical systems and its application to problem solving.
Optimization of parameters of asymptotically stable systems.
Pointwise error estimate for a noncoercive system of quasi-variational inequalities related to the management of energy production.
Profitability, investment, and efficiency wages.