Existence and uniqueness of solutions for non-linear singular (descriptor) systems
Jing-Yue Lin, Zi-Hou Yang · International Journal of Systems Science · 1988
Non-linear singular (descriptor) systems of the form E[xdot] = f(x, t) are considered and an expression for the set of admissible initial conditions is given. The existence and uniqueness theorem of solutions is proved, solvability is defined, and a sufficient condition for solvability is obtained.