The objective of this article is to derive the necessary optimality conditions, known as Pontryagin's minimum principle, for fuzzy optimal control problems based on the concepts of differentiability and integrability of a fuzzy mapping that may be parameterized by the left and right-hand functions of its $alpha$-level sets.

the objective of this article is to derive the necessary optimality conditions, known as pontryagin's minimum principle, for fuzzy optimal control problems based on the concepts of differentiability and integrability of a fuzzy mapping that may be parameterized by the left and right-hand functions of its $alpha$-level sets.

A tuberculosis model which incorporates treatment of infectives and chemoprophylaxis is considered. For this model, controls on treatment, chemoprophylaxis and disease relapse are incorporated to reduce the latently infected and actively infected individual populations, via application of the Pontryagins Maximum Principle of optimal control theory.

Abstract: The paper studies the problem of finite time formation control for multiple vehicles based on the motion planning approach. The vehicle is modeled as the full actuated rigid body with the dynamics evolving on the tangent bundle of Euclidean group, both the formation time which is finite and the geometric structure of the formation are assumed to be specified by the task. For the requi...

This paper considers a optimal control analysis of a non -linear dynamical system of linear quadratic control. It is shown the difference between the stochastic and deterministic control system and for the occurrence of symmetry breaking as a function of the noise is included to formulate the stochastic model. For the Deterministic optimal control problem existence of optimal control is proved ...

In this paper, a model of an optimal control problem with chance constraints is introduced. The parametersof the constraints are fuzzy, random or fuzzy random variables. Todefuzzify the constraints, we consider possibility levels.  Bychance-constrained programming the chance constraints are converted to crisp constraints which are neither fuzzy nor stochastic and then the resulting classical op...

in this paper, a model of an optimal control problem with chance constraints is introduced. the parametersof the constraints are fuzzy, random or fuzzy random variables. todefuzzify the constraints, we consider possibility levels.  bychance-constrained programming the chance constraints are converted to crisp constraints which are neither fuzzy nor stochastic and then the resulting classical op...

Jaccard index similarity measure which applies the extension principle approach to obtain fuzzy maximum and fuzzy minimum has been proposed in ranking fuzzy numbers. However, the extension principle used is only applicable to normal fuzzy numbers and, therefore, fails to rank non-normal ones. Apart from that, the extension principle does not preserve the type of membership function of fuzzy num...