Results 291 to 300 of about 5,003,645 (342)
Some of the next articles are maybe not open access.
Maximum principles for some quasilinear elliptic systems
Nonlinear Analysis, 2020S. Leonardi +4 more
semanticscholar +1 more source
2004
In this chapter we prove the fundamental necessary condition of optimality for optimal control problems — Pontryagin Maximum Principle (PMP). In order to obtain a coordinate-free formulation of PMP on manifolds, we apply the technique of Symplectic Geometry developed in the previous chapter.
Andrei A. Agrachev, Yuri L. Sachkov
openaire +1 more source
In this chapter we prove the fundamental necessary condition of optimality for optimal control problems — Pontryagin Maximum Principle (PMP). In order to obtain a coordinate-free formulation of PMP on manifolds, we apply the technique of Symplectic Geometry developed in the previous chapter.
Andrei A. Agrachev, Yuri L. Sachkov
openaire +1 more source
Maximum principles in differential equations
, 1967M. Protter, H. Weinberger
semanticscholar +1 more source
2012
This chapter represents the basic concepts of Classical Optimal Control related to the Maximum Principle. The formulation of the general optimal control problem in the Bolza (as well as in the Mayer and the Lagrange) form is presented. The Maximum Principle, which gives the necessary conditions of optimality, for various problems with a fixed and ...
Vladimir G. Boltyanski +1 more
openaire +1 more source
This chapter represents the basic concepts of Classical Optimal Control related to the Maximum Principle. The formulation of the general optimal control problem in the Bolza (as well as in the Mayer and the Lagrange) form is presented. The Maximum Principle, which gives the necessary conditions of optimality, for various problems with a fixed and ...
Vladimir G. Boltyanski +1 more
openaire +1 more source
2010
This chapter focuses on a set of optimality conditions known as the Maximum Principle. Many competing sets of optimality conditions are now available, but the Maximum Principle retains a special significance. An early version of the Maximum Principle due to Pontryagin er al.
openaire +1 more source
This chapter focuses on a set of optimality conditions known as the Maximum Principle. Many competing sets of optimality conditions are now available, but the Maximum Principle retains a special significance. An early version of the Maximum Principle due to Pontryagin er al.
openaire +1 more source
Maximum Principles at Infinity and the Ahlfors-Khas’minskii Duality: An Overview
Contemporary Research in Elliptic PDEs and Related Topics, 2019L. Mari, Leandro F. Pessoa
semanticscholar +1 more source
2001
We present here the most significant results which are customarily grouped under the name of Maximum Principle. It supplies a set of necessary conditions of optimality for a wide class of optimal control problems. Firstly, we give a formal, yet synthetic, description of these problems is given.
openaire +1 more source
We present here the most significant results which are customarily grouped under the name of Maximum Principle. It supplies a set of necessary conditions of optimality for a wide class of optimal control problems. Firstly, we give a formal, yet synthetic, description of these problems is given.
openaire +1 more source
The maximum principles for fractional Laplacian equations and their applications
, 2017Tingzhi Cheng +2 more
semanticscholar +1 more source
Widespread six degrees Celsius cooling on land during the Last Glacial Maximum
Nature, 2021Alan M Seltzer +2 more
exaly