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» Conjugate Lyapunov functions for saturated linear systems
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AUTOMATICA
2008
112views more  AUTOMATICA 2008»
13 years 4 months ago
Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
Counterexamples are given which show that a linear switched system (with controlled switching) that can be stabilized by means of a suitable switching law does not necessarily admi...
Franco Blanchini, Carlo Savorgnan
CDC
2009
IEEE
160views Control Systems» more  CDC 2009»
13 years 10 months ago
On piecewise quadratic control-Lyapunov functions for switched linear systems
— In this paper, we prove that a discrete-time switched linear system is exponentially stabilizable if and only if there exists a stationary hybrid-control law that consists of a...
Wei Zhang, Alessandro Abate, Michael P. Vitus, Jia...
AUTOMATICA
2008
146views more  AUTOMATICA 2008»
13 years 5 months ago
Input-to-state stability and interconnections of discontinuous dynamical systems
In this paper we will extend the input-to-state stability (ISS) framework to continuous-time discontinuous dynamical systems (DDS) adopting piecewise smooth ISS Lyapunov functions...
W. P. M. H. Heemels, Siep Weiland
CDC
2008
IEEE
147views Control Systems» more  CDC 2008»
13 years 12 months ago
Applications of the general Lyapunov ISS small-gain theorem for networks
Abstract— In the framework of the ISS Lyapunov formulation a small gain theorem has recently been proved which allows the explicit construction of Lyapunov functions for intercon...
Sergey Dashkovskiy, Björn Rüffer, Fabian...
CDC
2008
IEEE
289views Control Systems» more  CDC 2008»
13 years 12 months ago
Robust H-infinity control for uncertain time-delay TCP/AQM network system
—A robust active queue management (AQM) scheme based on H-infinty theory is presented for the problem of congestion control in TCP communication networks. In TCP/IP networks, the...
Yuanwei Jing, Hongwei Wang, Georgi M. Dimirovski, ...