Name
Title | ||
|---|---|---|
On delay-dependent stability for a class of nonlinear stochastic delay-differential equations |
Abstract | ||
|---|---|---|
Global asymptotic stability conditions for nonlinear stochastic systems with state delay are obtained based on the convergence theorem for semimartingale inequalities, without assuming the Lipschitz conditions for nonlinear drift functions. The Lyapunov-Krasovskii and degenerate functionals techniques are used. The derived stability conditions are directly expressed in terms of the system coefficients. Nontrivial examples of nonlinear systems satisfying the obtained stability conditions are given. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/s00498-006-0163-1 | MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS |
Keywords | Field | DocType |
stochastic time-delay system,asymptotic stability,martingale convergence theorems | Convergence (routing),Degenerate energy levels,Mathematical optimization,Nonlinear system,Mathematical analysis,Stability conditions,Exponential stability,Lipschitz continuity,Semimartingale,Delay differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
18.0 | 2 | 0932-4194 |
Citations | PageRank | References |
17 | 2.01 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexandra Rodkina | 1 | 49 | 7.90 |
| M. V. Basin | 2 | 363 | 39.93 |