Examinando por Materia "CRITERIO DE ESTABILIDAD"

Mostrando1 - 2 de 2
  • Ponencia en Congreso
    Some invariance principles for constrained switched systems
    (2010) Mancilla-Aguilar, J. L.; García Galiñanes, Rafael
    "In this paper we consider switched nonlinear systems under average dwell time switching signals, with an otherwise arbitrary compact index set and with additional constraints in the switchings. We present invariance principles for these systems and derive by using observability-like notions some convergence and asymptotic stability criteria. These results may enable us to analyze the stability of solutions of switched systems with both state-dependent constrained switching and switching whose logic has memory, i.e., the active subsystem only can switch to a prescribed subset of subsystems."
  • Artículo de Publicación Periódica
    Uniform input-to-state stability for switched and time-varying impulsive systems
    (2020-12) Mancilla-Aguilar, J. L.; Haimovich, Hernán
    "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 impulsive systems with inputs the well established philosophy of assessing the stability of a system by reducing the problem to that of the stability of a scalar system given by the evolution of the Lyapunov function on the system trajectories. This reduction is performed in such a way that the resulting scalar system has no inputs. Novel sufficient conditions for ISS are provided, which generalize existing results for time-invariant and time-varying, switched and nonswitched, impulsive and nonimpulsive systems in several directions."