Impulsive Systems with Delays
Stability and Control
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Beschreibung
This book systematically presents the most recent progress in stability and control of impulsive systems with delays. Impulsive systems have recently attracted continued high research interests because they provide a natural framework for mathematical modeling of many real-world processes. It focuses not only on impulsive delayed systems, but also impulsive systems with delayed impulses and impulsive systems with event-triggered mechanism, including their Lyapunov stability, finite-time stability and input-to-state stability synthesis. Special attention is paid to the bilateral effects of the delayed impulses, where comprehensive stability properties are discussed in the framework of time-dependent and state-dependent delays. New original work with event-triggered impulsive control and its applications in multi-agent systems and collective dynamics are also provided.
This book will be of use to specialists who are interested in the theory of impulsive differential equations and impulsive control theory, as well as high technology specialists who work in the fields of complex networks and applied mathematics. Also, instructors teaching graduate courses and graduate students will find this book a valuable source of nonlinear system theory.
This book systematically presents the most recent progress in stability and control of impulsive systems with delays. Impulsive systems have recently attracted continued high research interests because they provide a natural framework for mathematical modeling of many real-world processes. It focuses not only on impulsive delayed systems, but also impulsive systems with delayed impulses and impulsive systems with event-triggered mechanism, including their Lyapunov stability, finite-time stability and input-to-state stability synthesis. Special attention is paid to the bilateral effects of the delayed impulses, where comprehensive stability properties are discussed in the framework of time-dependent and state-dependent delays. New original work with event-triggered impulsive control and its applications in multi-agent systems and collective dynamics are also provided.
This book will be of use to specialists who are interested in the theory of impulsive differential equations and impulsive control theory, as well as high technology specialists who work in the fields of complex networks and applied mathematics. Also, instructors teaching graduate courses and graduate students will find this book a valuable source of nonlinear system theory.
Discusses comprehensive stability properties of impulsive systems with delays, including Lyapunov stability, etc Investigates the bilateral effects in terms of time-dependent and state-dependent delays Integrates the impulsive control theory with the event-triggered mechanism
Autor*in
Xiaodi Li
Themen in »Impulsive Systems with Delays«
Impulsive Systems Time Delay Existence And Uniqueness Of Solutions Observability And Controllability Lyapunov Stability Input-to-state Stability Finite-time Stability Synchronization Control Delayed Impulses Impulsive Control Impulsive Disturbance Event-triggered Mechanism Event-triggered Impulsive Control
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“The potential reader will remark the orientation towards stability studies, illustrated by mathematical theory and simulation results. Summarizing, a very comprehensive book which is highly recommended to those interested in the field of the impulsive systems.” (Vladimir Răsvan, zbMATH 1542.93002, 2024)
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