On Application of Descriptor-Variable Theory to the Investigation of Optimal Control Problems of Linear Time-Delay Systems

1989 ◽  
Author(s):  
E. Y Ibrahim ◽  
V. Lovass-Nagy ◽  
R. Mukundan ◽  
D.L. Powers ◽  
R.J. Schilling
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Optimal Control Problems ◽  
Linear Time ◽  
Delay Systems ◽  
Control Problems ◽  
Time Delay Systems ◽  
Variable Theory

A note on optimal control of linear time-delay systems using descriptor-variable theory

1990 ◽  
Vol 327 (6) ◽  
pp. 893-901
Author(s):  
E.Y. Ibrahim ◽  
V. Lovass-Nagy ◽  
R. Mukundan ◽  
D.L. Powers ◽  
R.J. Schilling
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Linear Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Variable Theory

The approximate solution of non-linear time-delay fractional optimal control problems by embedding process

2018 ◽  
Vol 36 (3) ◽  
pp. 713-727 ◽  
Author(s):  
E Ziaei ◽  
M H Farahi
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Fractional Derivative ◽  
Optimal Control Problems ◽  
Linear Time ◽  
Control Problems ◽  
Linear Dynamical Systems ◽  
Fractional Optimal Control ◽  
Non Linear ◽  
Fractional Optimal Control Problems

Abstract In this paper, a class of time-delay fractional optimal control problems (TDFOCPs) is studied. Delays may appear in state or control (or both) functions. By an embedding process and using conformable fractional derivative as a new definition of fractional derivative and integral, the class of admissible pair (state, control) is replaced by a class of positive Radon measures. The optimization problem found in measure space is then approximated by a linear programming problem (LPP). The optimal measure which is representing optimal pair is approximated by the solution of a LPP. In this paper, we have shown that the embedding method (embedding the admissible set into a subset of measures), successfully can be applied to non-linear TDFOCPs. The usefulness of the used idea in this paper is that the method is not iterative, quite straightforward and can be applied to non-linear dynamical systems.

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