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Pontriagin's maximum principle and the principle of optimality
Journal of the Franklin Institute, 1961Abstract This paper demonstrates that Pontriagin's Maximum Principle may be derived from the principle of Optimality. It considers a control system described by ẋ = f(x, u, t) where the control vector u is restricted to a closed and bounded set. The optimal control steers the system from an initial state x0 at 0 to a moving target in such a way that ...
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1992
Publisher Summary This chapter describes the yield and procedure of maximum principles. It is applicable to linear ordinary differential equations, and linear partial differential equations. It yields upper, or lower bounds on the solution. By the use of a maximum theorem, one can find bounds on certain types of equations.
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Publisher Summary This chapter describes the yield and procedure of maximum principles. It is applicable to linear ordinary differential equations, and linear partial differential equations. It yields upper, or lower bounds on the solution. By the use of a maximum theorem, one can find bounds on certain types of equations.
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Maximum principles in differential equations
, 1967M. Protter, H. Weinberger
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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
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Maximum Principles and Geometric Applications
, 2016L. Alías, P. Mastrolia, M. Rigoli
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Deep Red Emissive Carbonized Polymer Dots with Unprecedented Narrow Full Width at Half Maximum
Advanced Materials, 2020Daowei Li, Yunfeng Li, Kai Zhang
exaly