Differential and integral inequalities play an important role in the qualitative theory of both deterministic and stochastic systems. It is well known that Gronwall–Bellman Type inequalities in differential or integral form and other similar inequalities can provide differential estimates for the solutions of dynamical systems. Differential and integral inequalities can also be applied to prove a variety of properties of a solution of dynamical systems. Moreover, the combination of differential and integral inequalities and the concept of a Lyapunov control function will be an effective framework for investigating the stability performance of the solutions of dynamical systems.
This thematic series collects excellent original research papers related to differential and integral inequalities and its applications to stability and control.
Edited by: Honglei Xu, Cedric Yiu, and Jianxiong Ye