Input-output finite-time stability of nonlinear descriptor systems

This article discusses the input-output finite-time stability and stabilization problems of a class of nonlinear descriptor systems. Two classes of disturbance inputs which belong to [Formula: see text] and [Formula: see text] are considered. Under the impulse-free condition of the descriptor systems, the article first studies the input-output finite-time stability with respect to the nonlinear descriptor systems with [Formula: see text] and [Formula: see text] disturbance inputs. Based on this, the design of the state feedback controllers ensures that the closed-loop descriptor systems are input-output finite-time stabilization. Finally, the results of simulation on a nonlinear descriptor circuit system verify the effectiveness of the controllers in this article.