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CDC
2010
IEEE
129views Control Systems» more  CDC 2010»
13 years 24 days ago
On parameterized Lyapunov and control Lyapunov functions for discrete-time systems
This paper deals with the existence and synthesis of parameterized-(control) Lyapunov functions (p-(C)LFs) for discrete-time nonlinear systems that are possibly subject to constrai...
Mircea Lazar, Rob H. Gielen
CDC
2010
IEEE
130views Control Systems» more  CDC 2010»
13 years 24 days ago
Stability analysis of networked control systems: A sum of squares approach
This paper presents a sum of squares (SOS) approach to the stability analysis of networked control systems (NCSs) incorporating time-varying delays and time-varying transmission in...
Nicolas William Bauer, Paul J. H. Maas, W. P. M. H...
MCSS
2007
Springer
13 years 5 months ago
Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem
The classical Matrosov theorem concludes uniform asymptotic stability of time varying systems via a weak Lyapunov function (positive definite, decrescent, with negative semidefi...
Frédéric Mazenc, Dragan Nesic
CDC
2008
IEEE
147views Control Systems» more  CDC 2008»
14 years 8 days 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...
AUTOMATICA
2004
104views more  AUTOMATICA 2004»
13 years 5 months ago
Input-to-state stability of networked control systems
A new class of Lyapunov uniformly globally asymptotically stable (UGAS) protocols in networked control systems (NCS) is considered. It is shown that if the controller is designed ...
Dragan Nesic, Andrew R. Teel