Finite-time stabilization of nonlinear dynamical systems via control vector lyapunov functions.
Finite-time stability involves dynamical systems whose trajectories converge to an equilibrium state in finite time. Since finite-time convergence implies nonuniqueness of system solutions in reverse time, such systems possess non- Lipschitzian dynamics. Sufficient conditions for finite-time stability have been developed in the literature using H'older continuous Lyapunov functions. In this paper, we develop a general framework for finite-time stability analysis based on vector Lyapunov functions. Specifically, we construct a vector comparison system whose solution is finite-time stable and relate this finite-time stability property to the stability properties of a nonlinear dynamical system using a vector comparison principle. Furthermore, we design a universal decentralized finite-time stabilizer for large-scale dynamical systems that is robust against full modeling uncertainty.
| Main Author: | Nersesov, Sergey. |
|---|---|
| Other Authors: | Haddad, Wassim., Hui, Qing. |
| Format: | |
| Language: | English |
| Published: |
2007
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| Online Access: |
http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178298 |