Systems with different types of discontinuities are successfully employed as mathematical models in various areas of science and engineering. The most common types of discontinuous systems are impulsive systems. The impulses can be considered at fixed moments of time as well as at variable impulsive instances. These short-term perturbations have also been used to create impulsive control strategies for stability and synchronization of the corresponding systems. Many significant developments have narrowed the gap between continuous-time and discrete-time theories, and extended the existing results to dynamical systems on generalized hybrid domains. In addition, research into the application of such systems in areas such as physics, engineering, computer sciences, medicine, economics, etc. has increased.
This Article Collection takes place in the context of discontinuous systems. We invite investigators to contribute original research articles that will exhibit recent developments in methodologies, techniques, and applications for systems evolving discontinuities including issues such as integral inequalities, stability analysis, control, and observation of nonlinear and/or switched systems on non-uniform time domains, event triggered systems, etc. Both theoretical and application results are sought for. Potential topics include, but are not limited to:
- Non uniform sampling
- Stochastic or delayed discontinuous systems
- Discontinuous system with fractional derivatives
- Discontinuous systems on time scale
- Stability analysis
- Reachability
- Lyapunov theory
- Stabilization on non-uniform time domains
- Observation on non-uninform time domains
- Applications of discontinuous systems theory
- Hybrid systems on time scale
- Event systems
- Self-triggered systems
- Periodicity
- Almost Periodicity
- Impulsive systems
- Impulsive control
- Stabilization
Submitted papers must be correct and well written, containing new, original, and nontrivial results.
All submitted manuscripts are subject to Crossref similarity checks and initial appraisal by the Editor and/or one of the Associate Editors. If found suitable for further consideration, papers are subject to peer review by at least two independent, anonymous expert referees. All peer review is single blind.
Disclosure Statement: Guest Advisors Dr. Stamova, Dr. Bohner, and Dr. Stamov declare no conflict of interest regarding this work.
