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Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle–focus type

Nonlinear Analysis: Hybrid Systems, 2019
The aim of this paper is to deal with the problem of limit cycles for a general planar piecewise linear differential system of saddle–focus type. By using the Lienard-like canonical form with five parameters and dividing the total parameter space into ...
Jiafu Wang   +2 more
semanticscholar   +3 more sources

Bifurcations in a piecewise linear system

Physics Letters A, 1986
Abstract We study two bifurcations which, because of the piecewise linear nature of the system under consideration, occur at the same parameter value. The three orbits created in this compound bifurcation are the principal periodic orbits of a homoclinic bifurcation seen in the system.
Daniel P. George
semanticscholar   +2 more sources

Singular perturbation in piecewise-linear systems

IEEE Transactions on Automatic Control, 1988
This note analyzes piecewise-linear systems which are singularly perturbed. A technique is developed that allows decoupling of such systems into fast and slow subsystems for analysis and design. The results of a numerical example are included to demonstrate this technique.
Heck, B. S., Haddad, A. H.
openaire   +1 more source

Linear conjugacy of n-dimensional piecewise linear systems

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1994
Summary: A proof is given that \(n\)-dimensional systems characterized by a piecewise linear continuous vector field with odd symmetry and three linear regions are linearly conjugate if their sets of eigenvalues are identical. For this the eigenvalues in the inner region are assumed to be pairwise distinct.
Feldmann, Ute, Schwarz, Wolfgang
openaire   +2 more sources

Controllability of piecewise linear systems

Systems & Control Letters, 1986
The paper gives a necessary and sufficient condition for the local controllability of a discontinuous linear control system. The set of discontinuities is a hyperplane S. The system is defined by two different linear time-independent equations on the two closed halfspaces defined by S.
Veliov, Vladimir M.   +1 more
openaire   +1 more source

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