New Taylor series approach to state-space analysis and optimal control of linear systems

1991 ◽  
Vol 71 (2) ◽  
pp. 315-340 ◽  
Author(s):  
P. N. Paraskevopoulos ◽  
A. S. Tsirikos ◽  
K. G. Arvanitis
Keyword(s):  
Optimal Control ◽  
State Space ◽  
Linear Systems ◽  
Taylor Series ◽  
Space Analysis ◽  
State Space Analysis ◽  
Control Of Linear Systems

scholarly journals Robustness of Operational Matrices of Differentiation for Solving State-Space Analysis and Optimal Control Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Emran Tohidi ◽  
F. Soleymani ◽  
Adem Kilicman
Keyword(s):  
Optimal Control ◽  
State Space ◽  
Nonlinear Boundary ◽  
Optimal Control Problems ◽  
Hermite Functions ◽  
Operational Matrices ◽  
Uniform Mesh ◽  
Space Analysis ◽  
State Space Analysis ◽  
Collocation Technique

The idea of approximation by monomials together with the collocation technique over a uniform mesh for solvingstate-space analysisandoptimal controlproblems (OCPs) has been proposed in this paper. After imposing the Pontryagins maximum principle to the main OCPs, the problems reduce to a linear or nonlinear boundary value problem. In the linear case we propose a monomial collocation matrix approach, while in the nonlinear case, the general collocation method has been applied. We also show the efficiency of the operational matrices of differentiation with respect to the operational matrices of integration in our numerical examples. These matrices of integration are related to the Bessel, Walsh, Triangular, Laguerre, and Hermite functions.

State-space analysis of linear fractional-order systems

2008 ◽  
Vol 42 (6-8) ◽  
pp. 825-838 ◽  
Author(s):  
Saïd Guermah ◽  
Saïd Djennoune ◽  
Maâmar Bettayeb
Keyword(s):  
State Space ◽  
Fractional Order ◽  
Fractional Order Systems ◽  
Space Analysis ◽  
State Space Analysis

scholarly journals Online Output-Feedback Optimal Control of Linear Systems Based on Data-Driven Adaptive Learning

2020 ◽  
Vol 53 (2) ◽  
pp. 1596-1601
Author(s):  
Jun Zhao ◽  
Jing Na ◽  
Guanbin Gao ◽  
Shichang Han ◽  
Qiang Chen ◽  
...  
Keyword(s):  
Optimal Control ◽  
Linear Systems ◽  
Adaptive Learning ◽  
Output Feedback ◽  
Data Driven ◽  
Control Of Linear Systems ◽  
Feedback Optimal Control

scholarly journals Dysconnection Topography in Schizophrenia Revealed with State-Space Analysis of EEG

PLoS ONE ◽  
2007 ◽  
Vol 2 (10) ◽  
pp. e1059 ◽  
Author(s):  
Mahdi Jalili ◽  
Suzie Lavoie ◽  
Patricia Deppen ◽  
Reto Meuli ◽  
Kim Q. Do ◽  
...  
Keyword(s):  
State Space ◽  
Space Analysis ◽  
State Space Analysis
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