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CHINAF
2008
82views more  CHINAF 2008»
13 years 7 months ago
Input-to-state stability of switched nonlinear systems
: The input-to-state stability (ISS) problem is studied for switched systems with infinite subsystems. By the method of multiple Lyapunov function, a sufficient ISS condition is gi...
Wei Feng, Jifeng Zhang
AUTOMATICA
2005
94views more  AUTOMATICA 2005»
13 years 6 months ago
Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems
We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given ...
Michael Malisoff, Frédéric Mazenc
AUTOMATICA
2006
95views more  AUTOMATICA 2006»
13 years 7 months ago
Further results on strict Lyapunov functions for rapidly time-varying nonlinear systems
We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentim...
Frédéric Mazenc, Michael Malisoff, M...
CORR
2010
Springer
150views Education» more  CORR 2010»
13 years 7 months ago
Existence and Global Logarithmic Stability of Impulsive Neural Networks with Time Delay
The stability and convergence of the neural networks are the fundamental characteristics in the Hopfield type networks. Since time delay is ubiquitous in most physical and biologi...
A. K. Ojha, Dushmanta Mallick, C. Mallick
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
14 years 1 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