Results 51 to 60 of about 625,732 (254)
Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems
Wasit Journal for Pure SciencesThe main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov function.
Hind Adnan Hashim
doaj +1 more source
Journal of Applied Mathematics, 2013 The problem of pth mean exponential stability and stabilizability of a class of stochastic nonlinear and bilinear hybrid systems with unstable and stable subsystems is considered.
Ewelina Seroka, Lesław Socha
doaj +1 more source
Input-to-state stability of infinite-dimensional control systems
, 2012 We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. We show that for certain classes of admissible inputs the existence of an ISS-Lyapunov function implies the input-to-state stability of a system.
AM Turing +25 more
core +1 more source
Mathematical study for Zika virus transmission with general incidence rate
AIMS Mathematics, 2022 An appropriate mathematical model for describing the Zika virus transmission with nonlinear general incidence rate was proposed. The basic reproduction number $ \mathcal{R}_0 $ was calculated using the next generation matrix method. Analysis of the local
Ahmed Alshehri , Miled El Hajji
doaj +1 more source
The Lyapunov dimension and its estimation via the Leonov method [PDF]
, 2016 Along with widely used numerical methods for estimating and computing the Lyapunov dimension there is an effective analytical approach, proposed by G.A. Leonov in 1991. The Leonov method is based on the direct Lyapunov method with special Lyapunov-like functions.
arxiv +1 more source
Further Remarks on Strict Input-to-State Stable Lyapunov Functions for Time-Varying Systems [PDF]
Automatica, Volume 41, Issue 11, pp. 1973-1978, November 2005, 2004 We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given and posit a mild persistency of excitation condition on our given Lyapunov functions which guarantee the existence of strict ISS Lyapunov functions for our systems.
arxiv +1 more source
Discrete mappings with an explicit discrete Lyapunov function related to integrable mappings
, 2006 We propose discrete mappings of second order that have a discrete analogue of Lyapunov function. The mappings are extensions of the integrable Quispel-Roberts-Thompson (QRT) mapping, and a discrete Lyapunov function of the mappings is identical to an ...
Daisuke Takahashi +19 more
core +1 more source
Design of Connectivity Preserving Flocking Using Control Lyapunov Function
Journal of Robotics, 2016 This paper investigates cooperative flocking control design with connectivity preserving mechanism. During flocking, interagent distance is measured to determine communication topology of the flocks.
Bayu Erfianto +3 more
doaj +1 more source
On some problems of instability in semi-dynamical systems
Журнал Белорусского государственного университета: Математика, информатика, 2021 The problem of instability of a closed positively invariant set M of a semi-dynamical system on an arbitrary metric space X is considered. The Lyapunov’s direct method for such problems has been developed quite completely in the case when M is compact ...
Boris S. Kalitine
doaj +1 more source
Counterexample-guided computation of polyhedral Lyapunov functions for hybrid systems [PDF]
arXiv, 2022 This paper presents a counterexample-guided iterative algorithm to compute convex, piecewise linear (polyhedral) Lyapunov functions for uncertain continuous-time linear hybrid systems. Polyhedral Lyapunov functions provide an alternative to commonly used polynomial Lyapunov functions.
arxiv