Input-to-State Practical Partial h-stability of Nonlinear Non-autonomous Systems

In this paper, we investigate the h-stability analysis with respect to part of the variables of nonlinear non-autonomous systems. With the help of the notion of practical h-stable functions, input-to-state practical partial h-stability (h-ISppS), integral input-to-state practical partial h-stability (h-iISppS) and practical partial h-stability are considered. Moreover, some sufficient Lyapunov-like conditions are derived to check the partial input-to-state practical h-stability of two important classes of nonlinear systems, namely perturbed and cascaded systems. Furthermore, two numerical examples are given to illustrate the effectiveness and the superiority of the results.