Results 261 to 270 of about 1,442,152 (332)

Limit cycles in small perturbations of a planar piecewise linear Hamiltonian system with a non-regular separation line

Chaos, Solitons & Fractals, 2018
We study Poincare bifurcation for a planar piecewise near-Hamiltonian system with two regions separated by a non-regular separation line, which is formed by two rays starting at the origin and such that the angle between them is α ∈ (0, π).
Feng Liang, V. Romanovski, Daoxiang Zhang   +2 more
semanticscholar   +1 more source

Piecewise-Linear Approximation of Nonlinear Dynamical Systems

IEEE Transactions on Circuits and Systems I: Regular Papers, 2004
The piecewise-linear (PWL) approximation technique developed by Julia/spl acute/n et al. in the past few years is applied to find approximate models of dynamical systems dependent on given numbers of state variables and parameters. Referring to some significant examples, i.e., topological normal forms, it is shown that a PWL dynamical system ...
STORACE, MARCO, DE FEO OSCAR
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Structured analysis of piecewise‐linear interconnected systems

International Journal of Robust and Nonlinear Control, 2007
AbstractThis paper considers the problem of assessing the induced L2gain of a system composed of non‐identical interconnected piecewise‐linear subsystems, when the topology of the underlying graph is arbitrary. Blending tools inspired by dissipativity theory and theS‐procedure, it presents sufficient conditions in the form of a set of finite ...
Fowler, Jeffrey M., D'Andrea, Raffaello
openaire   +1 more source

Development and validation of a piecewise linear nonlinear energy sink for vibration suppression and energy harvesting

Journal of Sound and Vibration, 2021
In this paper a piecewise linear nonlinear energy sink (PLNES) is developed for the purpose of simultaneous vibration suppression and energy harvesting. The apparatus consists of a cantilever beam attached by a mass at its free end.
Xiaolin Li, Kefu Liu, Liuyang Xiong, Lihua Tang   +3 more
semanticscholar   +1 more source

BIMODAL PIECEWISE LINEAR DYNAMICAL SYSTEMS: REDUCED FORMS

International Journal of Bifurcation and Chaos, 2010
Piecewise linear systems constitute a class of nonlinear systems which have recently attracted the interest of researchers because of their interesting properties and the wide range of applications from which they arise. Different authors have used reduced forms when studying these systems, mostly in the case where they are observable. In this work, we
Ferrer, Josep, Magret, M. Dolors, Peña, Marta   +2 more
openaire   +1 more source

Asynchronous fault detection filtering for piecewise homogenous Markov jump linear systems via a dual hidden Markov model

Mechanical systems and signal processing, 2021
This work investigates the asynchronous fault detection filtering issue for discrete-time piecewise homogeneous Markov jump systems. By resorting to a dual hidden Markov model, an asynchronous fault detection filter is presented which can follow up the ...
P. Cheng, Mengyuan Chen, V. Stojanovic, Shuping He   +3 more
semanticscholar   +1 more source

Stabilization of orthogonal piecewise linear systems using piecewise linear Lyapunov-like functions

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 2002
In this paper the problem of asymptotic stabilization of orthogonal piecewise linear (OPL) systems is considered. OPL systems arise when the state-space is partitioned into a number of distinct regions by hyperplanes orthogonal to the states. Different regions possess different continuous linear affine dynamics.
C.A. Yfoulis, A. Muir, N.B.O.L. Pettit, P.E. Wellstead   +3 more
openaire   +1 more source

Chaos in piecewise-linear systems

Physical Review A, 1983
A new class of physical systems, those which can be described by piecewise-linear equations, are found to exhibit chaotic behavior similar to that found in previously investigated nonlinear dissipative systems. The example of a damped, sinusoidally forced harmonic oscillator with two possible spring-constant values is investigated in detail. The system
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Linear Markov approximations of piecewise linear stochastic systems

Stochastic Analysis and Applications, 1987
This paper is concerned with the properties of piecewise linear discrete-time dynamic systems driven by white Gaussian noise. The properties of the deterministic system are explored, and condition for the existence of invariant distributions are derived.
E.I. Verriest, A.H. Haddad
openaire   +1 more source

Dynamics Analysis of Llibre-Menezes Piecewise Linear Systems

Qualitative Theory of Dynamical Systems, 2021
This paper deals with the dynamical analysis for the Llibre-Menezes piecewise linear systems. The authors give explicit parameter conditions for the existence of limit cycles and stable sliding segments, and prove the global asymptotical stability of equilibrium under the continuity of the vector field.
Zhang, Yuhong, Yang, Xiao-Song
openaire   +2 more sources