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AUTOMATICA
2008
124views more  AUTOMATICA 2008»
13 years 4 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...
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
124views Control Systems» more  CDC 2010»
12 years 11 months ago
A relaxation of Lyapunov conditions and controller synthesis for discrete-time periodic systems
This paper proposes a novel approach to stability analysis and controller synthesis for discrete-time periodically time-varying systems. Firstly, a relaxation of standard Lyapunov ...
Christoph Bohm, Mircea Lazar, Frank Allgöwer
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
2009
IEEE
124views Control Systems» more  CDC 2009»
13 years 9 months ago
Lyapunov stability analysis of higher-order 2-D systems
— We give necessary and sufficient conditions, based on the existence of a Lyapunov functional, for the asymptotic stability of a square autonomous 2-D behavior in the sense of ...
Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba