This paper studies the rst order necessary conditions for the optimal controls of semilinear and quasilinear parabolic partial di erential equations with pointwise state constraints. Pontryagin type maximum principle is obtained.

We give a new time-dependent definition of spline curves in Rn, which extends a recent definition of vector-valued splines introduced by Rodrigues and Silva Leite for the time-independent case. Previous results are based on a variational approach, with lengthy arguments, which do not cover the non-autonomous situation. We show that the previous results are a consequence of the Pontryagin maximu...

An optimal steering law for sails that exploit both solar and infrared planetary radiation pressure is presented in this paper. The maximises the orbit raise over one revolution of sail around planet. indirect analytical approach, uses Pontryagin Minimum Principle, used to develop specialised laws sunlit eclipse cases a planar motion scenario. case emitted from planet, while finds attitude usin...

This paper investigates the necessary conditions of optimality for uniformly overtaking optimal control on infinite horizon with free right endpoint. Clarke’s form of the Pontryagin Maximum Principle is proved without the assumption on boundedness of total variation of adjoint variable. The transversality condition for adjoint variable is shown to become necessary if the adjoint variable is par...

AbstractTyphoid fever is an endemic disease caused by infection with Salmonella Typhi. The transmission of typhoid through food and drink contaminated Typhi bacteria, which excreted the feces or urine infected person. problem increasingly complex because increase in carrier cases, making it difficult for treatment prevention efforts. This study develops a mathematical model control fever, consi...

We obtain an analytical solution for the time-optimal control problem in induction phase of anesthesia. Our is shown to align numerically with results obtained from conventional shooting method. The anesthesia relies on a pharmacokinetic/pharmacodynamic (PK/PD) model proposed by Bailey and Haddad 2005 regulate infusion propofol. In order evaluate our approach compare it existing literature, we ...

We consider a class of hybrid nonlinear optimal control problems having a discontinuous dynamics ruled by a partition of the state space. For this class of problem, some hybrid versions of the usual Pontryagin Maximum Principle are known. We introduce general regularization procedures, parameterized by a small parameter, smoothing the previous hybrid problems to standard smooth optimal control ...

H1N1 influenza is a respiratory tract infection with common symptoms, namely fever, headache, coughing, and sore throat. has several strains known to infect humans, birds, pigs. Some efforts overcome the of virus are vaccination treatment. This Research discusses optimal control in form treatment applied model Influenza disease spread. The method used solve this problem Pontryagin Minimum Princ...