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MCSS
2007
Springer
13 years 6 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
ACIIDS
2009
IEEE
160views Database» more  ACIIDS 2009»
13 years 4 months ago
Stability Analysis of Time-Delay Fuzzy Systems Using Fuzzy Lyapunov Method
This study presents an H controller design for time-delay Takagi-Sugeno (T-S) fuzzy systems based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadrati...
Ken Yeh, Cheng-Wu Chen, Shu-Hao Lin, Chen-Yuan Che...
SCL
2010
124views more  SCL 2010»
13 years 5 months ago
ISDS small-gain theorem and construction of ISDS Lyapunov functions for interconnected systems
We consider networks of input-to-state dynamically stable (ISDS) systems and use a small-gain condition to assure the ISDS property for their interconnection. Under this small-gai...
Sergey Dashkovskiy, Lars Naujok
AMC
2008
108views more  AMC 2008»
13 years 7 months ago
Improved exponential stability for time-varying systems with nonlinear delayed perturbations
In this paper, a new sufficient delay dependent exponential stability condition for a class of linear time-varying systems with nonlinear delayed perturbations is derived by using...
P. Niamsup, K. Mukdasai, V. N. Phat
CDC
2009
IEEE
139views Control Systems» more  CDC 2009»
13 years 11 months ago
Input-to-state dynamical stability of interconnected systems
Abstract— We consider networks of input-to-state dynamically stable (ISDS) systems and provide a small gain condition under which the entire network is again ISDS. A Lyapunov for...
Sergey Dashkovskiy, Lars Naujok