GEGENBAUER COLLOCATION INTEGRATION METHODS: ADVANCES IN COMPUTATIONAL OPTIMAL CONTROL THEORY

Advances in Pseudospectral Methods for Optimal Control

Recently, the Legendre pseudospectral (PS) method migrated from theory to flight application onboard the International Space Station for performing a finite-horizon, zeropropellant maneuver. A small technical modification to the Legendre PS method is necessary to manage the limiting conditions at infinity for infinite-horizon optimal control problems. Motivated by these technicalities, the conc...

Optimal selection of orthogonal polynomials applied to the integration of chemical reactor equations by collocation methods

In this paper, we analyse some properties of the orthogonal collocation in the context of its use for reducing PDE (partial differential equations) chemical reactor models for numerical simulation and/or control design. The approximation of the first order derivatives is first considered and analysed with respect to the transfer of the stability properties of the transport component from the PD...

Theory and Implementation of Numerical Methods Based on Runge-Kutta Integration for Solving Optimal Control Problems

THEORY AND IMPLEMENTATION OF NUMERICAL METHODS BASED ON RUNGE-KUTTA INTEGRATION FOR SOLVING OPTIMAL CONTROL PROBLEMS

Theory and Implementation of Numerical Methods Based on Runge-kutta Integration for Solving Optimal Control Problems

Advances in Computational Methods for Genetic Diseases

Genetic diseases are a wide group of diseases in which the etiopathogenesis is caused by or related to genetic factors. The role of genetics in the disease development can be more or less relevant depending on the specific characteristics of the disease, and a wide spectrum of complexity exists. Monogenic diseases, for example, are directly caused by defects in a specific gene whereas complex a...