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CDC
2008
IEEE
142views Control Systems» more  CDC 2008»
13 years 6 months ago
Stability analysis of linear hyperbolic systems with switching parameters and boundary conditions
Abstract— We study asymptotic stability of an infinite dimensional system that switches between a finite set of modes. Each mode is governed by a system of one-dimensional, lin...
Saurabh Amin, Falk M. Hante, Alexandre M. Bayen
CDC
2009
IEEE
211views Control Systems» more  CDC 2009»
13 years 9 months ago
On stability of linear switched differential algebraic equations
Abstract— This paper studies linear switched differential algebraic equations (DAEs), i.e., systems defined by a finite family of linear DAE subsystems and a switching signal t...
Daniel Liberzon, Stephan Trenn
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
13 years 11 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo
SIAMAM
2008
170views more  SIAMAM 2008»
13 years 4 months ago
Absolute Stability and Complete Synchronization in a Class of Neural Fields Models
Neural fields are an interesting option for modelling macroscopic parts of the cortex involving several populations of neurons, like cortical areas. Two classes of neural field equ...
Olivier D. Faugeras, François Grimbert, Jea...
CDC
2008
IEEE
141views Control Systems» more  CDC 2008»
13 years 11 months ago
Stabilizing uncertain systems with dynamic quantization
—We consider state feedback stabilization of uncertain linear systems with quantization. The plant uncertainty is dealt with by the supervisory control framework, which employs s...
Linh Vu, Daniel Liberzon