Basic structure of the dynamics with saturation limits on states

Author

Jiang, X. ; Venkatasubramanian, V. ; Schattler, H. ; Zaborszky, J.

Author_Institution

Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA

Volume

1

fYear

1996

fDate

11-13 Dec 1996

Firstpage

1103

Abstract

This paper studies some fundamental properties of the large nonlinear differential system with saturation limits on states. It is shown that for such systems: (1) no Lipschitz condition is satisfied; (2) multiple reduced order flows exist on the limit surfaces; (3) trajectories are only unique forward in time but not backward in time. New equilibrium points induced by state limits are identified. Furthermore, the Jacobian conditions on the stability and local invariant manifolds of these unconventional equilibria are established. The structural complexity for global invariant “manifolds” and the impact of state limits on the region of attraction are also examined in this paper

Keywords

nonlinear differential equations; nonlinear systems; stability criteria; Jacobian conditions; Lipschitz condition; attraction regions; dynamics; equilibrium points; global invariant manifolds; large nonlinear differential system; limit surfaces; local invariant manifolds; multiple reduced order flows; stability; state limits; state saturation limits; structural complexity; trajectory uniqueness; Differential equations; Jacobian matrices; Nonlinear dynamical systems; Numerical simulation; Stability; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.574656

Filename

574656