Abstract
The present paper deals with the necessary optimality condition for a class of distributed parameter systems in which the system is modeled in one-space dimension by a hyperbolic partial differential equation subject to the damping and mixed constraints on state and controls. Pontryagin maximum principle is derived to be a necessary condition for the controls of such systems to be optimal. With the aid of some convexity assumptions on the constraint functions, it is obtained that the maximum principle is also a sufficient condition for the optimality.
Keywords
Mathematics
Maximum principle
Convexity
Dimension (graph theory)
Constraint (computer-aided design)
Hyperbolic partial differential equation
Class (philosophy)
Pontryagin's minimum principle
Space (punctuation)
Applied mathematics
Partial differential equation
Mathematical analysis
Optimal control
Mathematical optimization
Pure mathematics
Geometry
Subject Areas
Stability and Controllability of Differential Equations
·Control and Systems Engineering ·Physical Sciences
Advanced Mathematical Modeling in Engineering
·Computational Theory and Mathematics ·Physical Sciences
Advanced Numerical Methods in Computational Mathematics
·Computational Mechanics ·Physical Sciences
Citations by Year
2015: 1
2016: 3
2017: 1
2022: 1
OpenAlex SDG Match
SDGs auto-classified by OpenAlex (score ≥ 0.4 shown).
Sustainable cities and communities 44%
Loading…
Loading…