89 citations · 214 across the 19 of their papers we have counts for
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Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency
José L. Mancilla-Aguilar, Hernan Haimovich, Petro Feketa
We provide novel sufficient conditions for stability of nonlinear and time-varying impulsive systems. These conditions generalize, extend, and strengthen many existing results. Dif…
Nonrobustness of asymptotic stability of impulsive systems with inputs
Hernan Haimovich, José L. Mancilla-Aguilar
Suitable continuity and boundedness assumptions on the function f defining the dynamics of a time-varying nonimpulsive system with inputs are known to make the system inherit stabi…
Strong ISS implies strong iISS for time-varying impulsive systems
Hernan Haimovich, José L. Mancilla-Aguilar
For time-invariant (nonimpulsive) systems, it is already well-known that the input-to-state stability (ISS) property is strictly stronger than integral input-to-state stability (iI…
A characterization of strong iISS for time-varying impulsive systems
Hernan Haimovich, Jose L. Mancilla-Aguilar, Paula Cardone
For general time-varying or switched (nonlinear) systems, converse Lyapunov theorems for stability are not available. In these cases, the integral input-to-state stability (iISS) p…
Uniform Input-to-State Stability for Switched and Time-Varying Impulsive Systems
Jose L. Mancilla-Aguilar, Hernan Haimovich
We provide a Lyapunov-function-based method for establishing different types of uniform input-to-state stability (ISS) for time-varying impulsive systems. The method generalizes to…