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AUTOMATICA
2008
124views more  AUTOMATICA 2008»
13 years 7 months ago
Lyapunov conditions for input-to-state stability of impulsive systems
This paper introduces appropriate concepts of input-to-state stability (ISS) and integral-ISS for impulsive systems, i.e., dynamical systems that evolve according to ordinary diff...
João Pedro Hespanha, Daniel Liberzon, Andre...
AUTOMATICA
2008
106views more  AUTOMATICA 2008»
13 years 7 months ago
Constructive stabilization for quadratic input nonlinear systems
In this paper stabilization of nonlinear systems with quadratic multi-input is considered. With the help of control Lyapunov function (CLF), a constructive parameterization of con...
Jianghua Zhong, Daizhan Cheng, Xiaoming Hu
AUTOMATICA
2006
118views more  AUTOMATICA 2006»
13 years 7 months ago
Diagonal stability of a class of cyclic systems and its connection with the secant criterion
We consider a class of systems with a cyclic interconnection structure that arises, among other examples, in dynamic models for certain biochemical reactions. We first show that a...
Murat Arcak, Eduardo D. Sontag
AUTOMATICA
2010
129views more  AUTOMATICA 2010»
13 years 4 months ago
Finite-time stability theorem of stochastic nonlinear systems
In this note, authors reply the comments on our previous work [Chen and Jiao, `finite-time stability theorem of stochastic nonlinear systems', Automatica, 46(2010), 2105-2108...
Weisheng Chen, L. C. Jiao
SCL
2008
130views more  SCL 2008»
13 years 7 months ago
Exponential stability of impulsive systems with application to uncertain sampled-data systems
We establish exponential stability of nonlinear time-varying impulsive systems by employing Lyapunov functions with discontinuity at the impulse times. Our stability conditions ha...
Payam Naghshtabrizi, João P. Hespanha, Andr...