\`x^2+y_1+z_12^34\`
Advanced Search
Article Contents
Article Contents

Stability of planar nonlinear switched systems

Abstract Related Papers Cited by
  • Let $X$ and $Y$ be two smooth vector fields on $\R^2$, globally asymptotically stable at the origin, and consider the time-dependent nonlinear system $\dot q(t)=u(t)X(q(t))+(1-u(t))Y(q(t))$, where $u:[0,\infty)\to\{0,1\}$ is an arbitrary measurable function. Analyzing the topology of the set where $X$ and $Y$ are parallel, we give some sufficient and some necessary conditions for global asymptotic stability, uniform with respect to $u(.)$. Such conditions can be verified without any integration or construction of a Lyapunov function, and they do not change under small perturbations of the vector fields.
    Mathematics Subject Classification: Primary: 32C20, 37N35; Secondary: 93D20.

    Citation:

    \begin{equation} \\ \end{equation}
  • 加载中
SHARE

Article Metrics

HTML views() PDF downloads(65) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return