Representations of symmetric linear dynamical systems
SIAM Journal on Control and Optimization
An introduction to infinite-dimensional linear systems theory
An introduction to infinite-dimensional linear systems theory
Introduction to Hybrid Dynamical Systems
Introduction to Hybrid Dynamical Systems
Singular Perturbation Methods in Control: Analysis and Design
Singular Perturbation Methods in Control: Analysis and Design
Linear Complementarity Systems: Zeno States
SIAM Journal on Control and Optimization
Uniqueness of solutions of linear relay systems
Automatica (Journal of IFAC)
Brief On solution concepts and well-posedness of linear relay systems
Automatica (Journal of IFAC)
| Hi-index | 22.14 |
Symmetries are often helpful in reducing the complexity of the analysis of dynamical systems. Here we discuss a symmetry that combines a transformation in space with a scaling of time. Examples are given of a number of nonsmooth dynamical systems in which a symmetry of this type occurs. The time-scaling symmetry can be combined with return mapping analysis to achieve a dimension reduction in addition to the one already obtained from considering the return map. The method is applied in a study of Zeno behavior in linear systems with relay feedback.