Name
Title | ||
|---|---|---|
Stabilization problems of nonlinear systems using feedback laws with Wiener processes |
Abstract | ||
|---|---|---|
This paper proposes a method to stabilize the origins of deterministic dynamical systems by state feedback control laws with Wiener processes. First, we obtain Ito-type stochastic dynamical systems by randomizing ordinary differential equation systems. Second, we design the diffusion coefficients. Then, we obtain Sontag-type global asymptotically stabilizers based on the stochastic control Lyapunov functions. Moreover, we show the usefulness of our results by some examples, i.e., systems with noncontractible state spaces and nonholonomic systems. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/CDC.2009.5400439 | Shanghai |
Keywords | Field | DocType |
Lyapunov methods,asymptotic stability,nonlinear systems,state feedback,stochastic processes,stochastic systems,Ito-type stochastic dynamical systems,Sontag-type global asymptotically stabilizers,Wiener processes,deterministic dynamical systems,diffusion coefficients,feedback laws,noncontractible state spaces,nonholonomic systems,nonlinear systems,ordinary differential equation systems,stabilization problems,state feedback control laws,stochastic control Lyapunov functions | Lyapunov function,Mathematical optimization,Nonlinear system,Ordinary differential equation,Control theory,Computer science,Stochastic process,Dynamical systems theory,Exponential stability,Nonholonomic system,Law,Stochastic control | Conference |
ISSN | ISBN | Citations |
0191-2216 E-ISBN : 978-1-4244-3872-3 | 978-1-4244-3872-3 | 4 |
PageRank | References | Authors |
0.68 | 3 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yuki Nishimura | 1 | 37 | 8.21 |
| Takehara, K. | 2 | 4 | 1.02 |
| Yuh Yamashita | 3 | 45 | 21.48 |
| Kazuo Tanaka | 4 | 408 | 40.44 |