Stability implications on the asymptotic behavior of nonlinear systems
Abstract
In this paper we generalize Bownds' Theorems (1) to the systemsdY(t)dt=A(t)Y(t)anddX(t)dt=A(t)X(t)+F(t,X(t)). Moreover we also show that there always exists a solutionX(t)ofdXdt=A(t)X+B(t)for which o\left( { = \infty } \right)$" id="E5">limt→∞sup‖X(t)‖>o(=∞)if there exists a solutionY(t)for which o\left( { = \infty } \right)$" id="E7">limt→∞sup‖Y(t)‖>o(=∞).
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 01, 1982
- Source ID
- 10.1155/s0161171282000106
Entities
People
- Kuo-liang Chiou
Organizations
- Army Research Office
- Wayne State University