Temporal Viability Regulation for Control Affine Systems with Applications to Mobile Vehicle Coordination under Time-Varying Motion Constraints
Controlled invariant set and viability regulation of dynamical control systems have played important roles in many control and coordination applications. In this paper we develop a \textit{temporal} viability regulation theory for general dynamical control systems, and in particular for control affine systems. The time-varying viable set is parameterized by time-varying constraint functions, with