Proceedings ArticleDOI
Numerical solution of the operational Riccati differential equation in the optimal control theory of linear hereditary differential systems with a linear-quadratic cost function
Michel C. Delfour
- Vol. 13, Iss: 13, pp 784-790
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In this article, a numerical approximation to the operational Riccati differential equation occurs in the optimal control theory of linear hereditary differential systems with a linear-quadratic cost function, and it is shown that this approximation can be used to obtain a linear approximation of the RDE.Abstract:
We present a numerical approximation to the operational Riccati differential equation which occurs in the optimal control theory of linear hereditary differential systems with a linear-quadratic cost function.read more
Citations
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Journal ArticleDOI
The linear quadratic optimal control problem for hereditary differential systems: Theory and numerical solution
TL;DR: In this paper, the optimal control problem for linear hereditary differential systems with a linear-quadratic cost function was studied and an approximation to the linear HDS in state form and the linear adjoint state equation was constructed and proved convergence.
Optimal control of linear systems with delays in state and control via Walsh functions
TL;DR: A parameter-embedding approach to the optimal control of linear time-delay systems, and a simple computational algorithm via Walsh functions that employs the concept of Walsh operational matrices for delay and advance.
Journal ArticleDOI
State theory of linear hereditary differential systems
TL;DR: In this paper, a state theory for a class of linear functional differential equations of the type considered by Delfour and Mitter with initial functions in the product space M p = X × L p (− b, 0; X ).
Book ChapterDOI
Control systems with delays: Areas of applications and present status of the linear theory
M. C. Delfour,A. Manitius +1 more
TL;DR: It is shown that the use of a certain "hereditary operator" F permits to construct notions of controllability and observability which are directly related to feedback stabilization and solvability of the algebraic operator Riccati equation, thus making the whole theory complete.
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