Differential dynamic-programming approach to optimal nonlinear distributed-parameter control systems

1969 ◽  
Vol 116 (6) ◽  
pp. 1079 ◽  
Author(s):  
S.G. Tzafestas ◽  
J.M. Nightingale
Keyword(s):  
Dynamic Programming ◽  
Control Systems ◽  
Programming Approach ◽  
Distributed Parameter ◽  
Parameter Control ◽  
Differential Dynamic Programming ◽  
Dynamic Programming Approach ◽  
Distributed Parameter Control

scholarly journals A New Type of Distributed Parameter Control Systems: Two-Point Boundary Value Problems for Infinite-Dimensional Dynamical Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-3
Author(s):  
De-Xing Kong ◽  
Fa Wu
Keyword(s):  
Dynamical Systems ◽  
Boundary Value Problems ◽  
Control Systems ◽  
Distributed Parameter ◽  
Parameter Control ◽  
Point Boundary ◽  
Infinite Dimensional ◽  
Infinite Dimensional Dynamical Systems ◽  
Distributed Parameter Control ◽  
New Type

This survey note describes a new type of distributed parameter control systems—the two-point boundary value problems for infinite-dimensional dynamical systems, particularly, for hyperbolic systems of partial differential equations of second order, some of the discoveries that have been done about it and some unresolved questions.

Dynamic Programming and a Distributed Parameter Maximum Principle

1968 ◽  
Vol 90 (2) ◽  
pp. 152-156 ◽  
Author(s):  
W. L. Brogan
Keyword(s):  
Dynamic Programming ◽  
Maximum Principle ◽  
Programming Approach ◽  
Distributed Parameter ◽  
Programming Technique ◽  
Nonhomogeneous Boundary Condition ◽  
The Maximum Principle ◽  
Dynamic Programming Approach ◽  
Nonhomogeneous Boundary ◽  
Definition Of

A proof of a distributed parameter maximum principle is given by using dynamic programming. An example problem involving a nonhomogeneous boundary condition is also treated by using the dynamic programming technique and by extending the definition of the differential operator. It is thus demonstrated that for linear systems the dynamic programming approach is just as powerful as the variational approach originally used to derive the maximum principle.

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