• Publications
  • Influence
Input-to-State Stability of Nonlinear Impulsive Systems
We prove that impulsive systems, which possess an input-to-state stable (ISS) Lyapunov function, are ISS for time sequences satisfying the fixed dwell-time condition. Expand
Stability of interconnected impulsive systems with and without time delays, using Lyapunov methods
Abstract In this paper, we consider the input-to-state stability (ISS) of impulsive control systems with and without time delays. We prove that, if the time-delay system possesses an exponentialExpand
Monotonicity Methods for Input-to-State Stability of Nonlinear Parabolic PDEs with Boundary Disturbances
We introduce a monotonicity-based method for studying input-to-state stability (ISS) of nonlinear parabolic equations with boundary inputs. Expand
Input-to-state stability of infinite-dimensional control systems
We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. Expand
Characterizations of Input-to-State Stability for Infinite-Dimensional Systems
We prove characterizations of input-to-state stability (ISS) for a class of infinite-dimensional control systems, including some classes of evolution equations over Banach spaces, time-delay systems, ordinary differential equations (ODE), and switched systems. Expand
Non-coercive Lyapunov functions for infinite-dimensional systems
We show that the existence of a non-coercive Lyapunov function is sufficient for uniform global asymptotic stability (UGAS) of infinite-dimensional systems with external disturbances provided theExpand
Uniform weak attractivity and criteria for practical global asymptotic stability
  • A. Mironchenko
  • Mathematics, Computer Science
  • Syst. Control. Lett.
  • 21 February 2017
We show that practical uniform global asymptotic stability (pUGAS) is equivalent to the existence of a bounded uniformly globally weakly attractive set. Expand
Local input-to-state stability: Characterizations and counterexamples
We show that a nonlinear locally uniformly asymptotically stable infinite-dimensional system is automatically locally input-to-state stable (LISS) provided the nonlinearity possesses some sort of uniform continuity with respect to external inputs. Expand
Stabilization of Switched Linear Differential Algebraic Equations and Periodic Switching
We investigate the stabilizability of switched linear systems of differential-algebraic equations that approximate the dynamic behavior of a switched ODE. Expand
Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions
In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-state stability (ISS) for infinite-dimensional systems. Expand