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
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)=X0. 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;
Conference_Titel :
Aerospace and Electronics Conference, 1990. NAECON 1990., Proceedings of the IEEE 1990 National
Conference_Location :
Dayton, OH
DOI :
10.1109/NAECON.1990.112825
