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MCSS
2007
Springer
14 years 9 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»
14 years 7 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»
14 years 8 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»
14 years 9 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
73
Voted
CDC
2009
IEEE
139views Control Systems» more  CDC 2009»
15 years 2 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