On bounded input-bounded output stability of a class of nonlinear retarded systems (Q2708062)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On bounded input-bounded output stability of a class of nonlinear retarded systems |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On bounded input-bounded output stability of a class of nonlinear retarded systems |
scientific article |
Statements
17 April 2001
0 references
retarded systems
0 references
small gain condition
0 references
bounded input bounded output stability
0 references
norm estimates
0 references
0.9308903
0 references
0.92286575
0 references
0.8978164
0 references
0.8969653
0 references
On bounded input-bounded output stability of a class of nonlinear retarded systems (English)
0 references
Retarded systems of the form NEWLINE\[NEWLINE\begin{aligned} \dot x(t) &= \int^\eta_0 dR(\tau) x(t-\tau)+ F(t, x_t,u(t)),\\ y(t) &= W(x(t), u(t))\;(t\geq 0)\end{aligned}NEWLINE\]NEWLINE are considered, where \(F\) satisfies a sublinear estimate in \(x_t\) and \(u\). A small gain-like condition is derived for the bounded input bounded output stability of the system, based on some simple norm estimates.
0 references
