
Accession Number : ADP001081
Title : A Nonlinear Liapunov Inequality,
Corporate Author : ARMY COMMUNICATIONSELECTRONICS COMMAND FORT MONMOUTH NJ
Personal Author(s) : Kotin,Leon
Report Date : OCT 1982
Pagination or Media Count : 7
Abstract : In the context of control theory, the control variable q(t) takes a solution initially at the origin in the (t,x)plane to the point (a,0) while meeting the lower bound in (2) arbitrarily closely. We extend this inequality in two directions. First, we generalize the boundary value problem (1) itself to certain nonlinear equations. Secondly, we minimize more general integrals than the one in (2). Among other things, these results permit us to obtain new sufficiently criteria for the stability of Hill's equation.
Descriptors : *Control theory, *Weapon systems, *Symposia, *Boundary value problems, Nonlinear algebraic equations, Integrals
Distribution Statement : APPROVED FOR PUBLIC RELEASE