𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Stability of Saturated Linear Dynamical Systems Is Undecidable

✍ Scribed by Vincent D. Blondel; Olivier Bournez; Pascal Koiran; John N. Tsitsiklis

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
230 KB
Volume
62
Category
Article
ISSN
0022-0000

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On lp-stabilization of strictly unstable
On lp-stabilization of strictly unstable discrete-time linear systems with saturating actuators
✍ Ping Hou; Ali Saberi; Zongli Lin πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 117 KB πŸ‘ 2 views

For a continuous-time linear system with saturating actuators, it is known that, irrespective of the locations of the open-loop poles, both global and semi-global finite gain ΒΈN-stabilization are achievable, by nonlinear and linear feedback, respectively, and the ΒΈN gain can also be made arbitrarily

Global stabilization of systems containi
Global stabilization of systems containing a double integrator using a saturated linear controller
✍ Feng Tyan; Dennis S. Bernstein πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 118 KB πŸ‘ 2 views

In this paper, we present a Lyapunov function for systems containing a double integrator and with controller saturation. This Lyapunov function is composed of a positive-semide"nite quadratic term and an integral term. The main result provides a su$cient condition that guarantees a system with a dou

Output feedback stabilization of MIMO no
Output feedback stabilization of MIMO non-linear systems via dynamic sliding mode
✍ Xiao-Yun Lu; Sarah K. Spurgeon πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 241 KB πŸ‘ 2 views

Previous work on asymptotic stabilization of MIMO non-linear systems using dynamic sliding mode control to produce dynamic state feedback has been generalized to dynamic output feedback. All the states in the feedback controller are replaced with estimated states which come from a semi-high-gain obs