This paper studies an input-to-state stability (ISS) property for nonlinear control system with
impulses at fixed moments. We propose a novel Lyapunov-based theorem ensuring the ISS …

In this paper, we investigate the qualitative behavior of an evolutionary problem consisting of
a hyperbolic dissipative equation whose trajectories undergo instantaneous impulsive …

We consider a problem of preservation of a piecewise continuous invariant toroidal set for a
class of multifrequency systems with pulses at nonfixed times under perturbations of the right …

ON THE EXPONENTIAL STABILITY OF A TRIVIAL TORUS FOR ONE CLASS OF NONLINEAR
IMPULSIVE SYSTEMS Page 1 Journal of Mathematical Sciences, Vol. 238, No. 3, April, 2019 …

Invariant Sets of Impulsive Differential Equations with Particularities in ω‐Limit Set -
Perestyuk - 2011 - Abstract and Applied Analysis - Wiley Online Library Skip to Article …

In this paper, we apply the abstract theory of global attractors for multi-valued impulsive
dynamical systems to weakly-nonlinear impulsively perturbed parabolic system without …

The sufficient conditions for the existence of an asymptotically stable invariant toroidal
manifolds of linear extensions of dynamical system on torus are obtained in the case where …

Contents: General Description of Impulsive Differential SystemsLinear SystemsStability of
SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of Impulsive …

We investigate the instability property of finite dimensional impulsive systems by means of
Lyapunov-like tools. Auxiliary functions of Chetaev type are used. Sufficient conditions …

We present sufficient conditions for the frequency locking of an orbitally asymptotically stable
periodic solution to a system of autonomous differential equations with small impulsive …