The hybrid nature of the problem may also show up in the design and implementation of controls for such systems. As such, computational and algorithmic approaches to such problems encounter considerable difficulties. In addition to modeling and analysis of such systems, this session will explore novel computational implementations that can accommodate uncertainties in the system at various levels. We have accepted three papers for this minitrack. The first paper deals with the stability of limit cycles in hybrid systems.
Limit cycles are common in such systems.
However, the nonsmooth dynamics of such systems makes stability analysis difficult. Its characteristic multipliers determine the stability of a limit cycle. This paper uses some recent extensions of trajectory sensitivity analysis to obtain the characteristic multipliers of nonsmooth limit cycles. Here, the continuous nonlinear stochastic system is assumed to have unknown system parameters, system and measurement noises, and inaccessible system states. The final paper analyzes the structure of stability boundary of a stable equilibrium point for nonlinear dynamics subject to state limits.