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 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

scholarly journals Design Evaluation: Decomposition and State-space Analysis

10.14311/460 ◽  
2003 ◽  
Vol 43 (4) ◽  
Author(s):  
G. Green
Keyword(s):  
State Space ◽  
Evaluation Activity ◽  
Space Analysis ◽  
State Space Analysis ◽  
Engineering Design Process ◽  
Conceptual Design Phase ◽  
Large Numbers ◽  
Design Characteristics ◽  
Inexact Reasoning ◽  
Associated Design

This paper outlines the increasing demands upon evaluation activity during the engineering design process. In particular, the need to address large numbers of innovative concept options during the conceptual design phase is stressed and a six-step methodology proposed. This methodology combines and integrates techniques of inexact reasoning with the need to combine two basic human approaches to evaluation, namely decomposition and holistic. The holistic evaluation elements comprise fuzzy estimates of probability of achieving Pareto optimal status combined with state-space analysis. An example demonstrates how these methods may converge to provide an appropriate support for human evaluation of emerging designs. It is concluded that the six-step methodology exhibits validity and time reduction in terms of providing an aid to the evaluation of a large number of merging designs and their associated design characteristics.

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