The effect of coupling conditions on the stability of bimodal systems in \(\mathbb{R}^3\)

DOI10.1016/j.sysconle.2016.07.010zbMath1347.93211OpenAlexW2517391175MaRDI QIDQ325090

Gökhan Şahan, Vasfi Eldem

Publication date: 17 October 2016

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2016.07.010

zbMATH Keywords

asymptotic stabilitypiecewise linear systemscoupling conditionbimodal systemdiscontinuous vector field

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (1)

Coupled least squares identification algorithms for multivariate output-error systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quadratic stability and stabilization of bimodal piecewise linear systems
• Periodic orbits and invariant cones in three-dimensional piecewise linear systems
• The continuous matching of two stable linear systems can be unstable
• Stability tests and stabilization for piecewise linear systems based on poles and zeros of subsystems
• Well posedness conditions for bimodal piecewise affine systems
• Switching in systems and control
• An introduction to hybrid dynamical systems
• Chaos in three-dimensional hybrid systems and design of chaos generators
• Piecewise-smooth dynamical systems. Theory and applications
• On the existence, uniqueness and nature of Carathéodory and Filippov solutions for bimodal piecewise affine dynamical systems
• Characterization of well-posedness of piecewise-linear systems
• Null controllability of planar bimodal piecewise linear systems
• Piecewise affine systems approach to control of biological networks
• Classification and stabilizability analysis of bimodal piecewise affine systems
• A note on the stability of bimodal systems in with discontinuous vector fields
• BIFURCATION OF INVARIANT CONES IN PIECEWISE LINEAR HOMOGENEOUS SYSTEMS

This page was built for publication: The effect of coupling conditions on the stability of bimodal systems in \(\mathbb{R}^3\)