pontryagin's minimum principle for fuzzy optimal control problems
نویسندگان
چکیده
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.
منابع مشابه
Pontryagin's Minimum Principle for Fuzzy Optimal Control Problems
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.
متن کاملA New Optimal Solution Concept for Fuzzy Optimal Control Problems
In this paper, we propose the new concept of optimal solution for fuzzy variational problems based on the possibility and necessity measures. Inspired by the well–known embedding theorem, we can transform the fuzzy variational problem into a bi–objective variational problem. Then the optimal solutions of fuzzy variational problem can be obtained by solving its corresponding biobjective variatio...
متن کاملLocal Minimum Principle for Optimal Control Problems Subject to Index One Differential-algebraic Equations
Necessary conditions in terms of a local minimum principle are derived for optimal control problems subject to index-1 differential-algebraic equations, pure state constraints and mixed control-state constraints. Differential-algebraic equations are composite systems of differential equations and algebraic equations, which frequently arise in practical applications. The local minimum principle ...
متن کاملA minimum principle for stochastic control problems with output feedback
A minimum principle for stochastic control problems with output feedback is derived by applying Bismut’s minimum principle for stochastic control problems with full information about the past to the Kushner-Stratonovitch equation describing the controlled evolution of the conditional density of the state. The well-known solution of the linear-quadratic Gaussian problem is obtained from the prin...
متن کاملOn the Noether Invariance Principle for Constrained Optimal Control Problems
Noether’s invariance principle is one of the most helpful and fundamental results of physics. It describes the universal fact that “invariance with respect to some family of parameter transformations gives rise to the existence of certain conserved quantities.” Such relation is used to explain everything from the fusion of hydrogen to the motion of planets orbiting the sun [6]. For a modern acc...
متن کاملA maximum principle for optimal control problems with mixed constraints
Necessary conditions in the form of maximum principles are derived for optimal control problems with mixed control and state constraints. Traditionally, necessary condtions for problems with mixed constraints have been proved under hypothesis which include the requirement that the Jacobian of the mixed constraint functional, with respect to the control variable, have full rank. We show that it ...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
iranian journal of fuzzy systemsناشر: university of sistan and baluchestan
ISSN 1735-0654
دوره 11
شماره 2 2014
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023