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RC
2007
78views more  RC 2007»
13 years 4 months ago
Exponential Stability of Interval Dynamical Systems with Quadratic Nonlinearity
This article proposes an approach for investigating the exponential stability of a nonlinear interval dynamical system with the nonlinearity of a quadratic type on the basis of the...
Ruslan S. Ivlev, Svetlana P. Sokolova
SCL
2008
130views more  SCL 2008»
13 years 4 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...
CDC
2010
IEEE
100views Control Systems» more  CDC 2010»
12 years 11 months ago
Impulsive systems triggered by superposed renewal processes
We consider impulsive systems with several reset maps triggered by independent renewal processes, i.e., the intervals between jumps associated with a given reset map are identicall...
Duarte Antunes, João Pedro Hespanha, Carlos...
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
13 years 11 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
SIAMCO
2008
93views more  SIAMCO 2008»
13 years 4 months ago
Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
We give a new sufficient condition on the boundary conditions for the exponential stability of one-dimensional nonlinear hyperbolic systems on a bounded interval. Our proof relies ...
Jean-Michel Coron, Georges Bastin, Brigitte d'Andr...