Integralinput-to-statestability ystemswithsmalldelays Integral input-to-state stability of systems with small delays  

作　　者：R.H.Harsha Nawarathna Yuandan Lin Yuan Wang 

机构地区：[1]Department of Mathematical Sciences,Florida Atlantic University,Boca Raton,FL 33431,USA

出　　处：《Control Theory and Technology》2024年第3期455-467,共13页控制理论与技术（英文版）

摘　　要：We consider how small delays affect the integral-input-to-state stability(iss)property for a system.Our result is similar to the input-to-state stability(Iss)result obtained in[1]:the iss property will be preserved in a practical and semi-global manner if the delay interval is small enough.However,since the iss quantifies the robust stability in terms of a generalized Li norm of the inputs instead of a generalized Loo norm of the inputs for the Iss case,the techniques and proofs for the Iss case do not apply to the iss case directly.While the proofs in[1]are based on the Lyapunov-Razumikhin approach,our proofs are based on the iss-Lyapunov functions for the zero-delay system.In addition to the interest by its own in showing how the iss property is affected by small delays,the result also serves to the study of the iss property for singularly perturbed systems.

关 键 词：Integral-input-to-state stability Nonlinear systems Small delays Lyapunov method 

分 类 号：O174[理学—数学] TP39[理学—基础数学]