DocumentCode
2667602
Title
Nonlinear matrix differential equations arising in the mathematical control and simulation of dynamical systems and CAD-CAM problems
Author
Jones, John, Jr.
Author_Institution
Dept. of Math. & Comput. Sci., USAF Inst. of Technol., Wright-Patterson AFB, OH, USA
fYear
1990
fDate
21-25 May 1990
Firstpage
556
Abstract
Necessary and sufficient conditions are established for the existence of solutions of the nonlinear matrix differential equation of the form A (z )X (z )+X (z )B (z )+C (z )+X (z )D (z )X (z )+X (z )E (z )X (z )F (z ) X (z )+dX /dz = where X (z 0)=X 0. Exact solutions, stationary solutions, nonsingular solutions, and general solutions of such equations are considered along with algorithms for computing such solutions and applications
Keywords
CAD/CAM; digital simulation; manufacturing computer control; matrix algebra; nonlinear differential equations; CAD-CAM; algorithms; dynamical systems; manufacturing computer control; mathematical control; necessary conditions; nonlinear matrix differential equation; nonsingular solutions; parallel processing; simulation; stationary solutions; sufficient conditions; Differential equations; Matrices; Nonlinear equations; Space stations;
fLanguage
English
Publisher
ieee
Conference_Titel
Aerospace and Electronics Conference, 1990. NAECON 1990., Proceedings of the IEEE 1990 National
Conference_Location
Dayton, OH
Type
conf
DOI
10.1109/NAECON.1990.112825
Filename
112825
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