Input-to-State Stability Criteria of Discrete-Time Time-Varying Impulsive Switched Delayed Systems With Applications to Multi-Agent Systems
Zhiwen Fu, Shiguo Peng
Abstract
This paper considers weakly and strongly input-to-state stability (ISS) of a discrete-time time-varying delayed system with synchronous impulses and switches. By employing the uniformly asymptotically stable function and mode-dependent dwell time conditions, ISS criteria are derived using the Krasovskii and Razumikhin techniques. The time differences of the Krasovskii functionals or the Razumikhin functions can be mode-dependent and time-varying, which release constraints of some existing results. As subsequent results, we apply the derived ISS criteria to the multi-agent systems (MASs). Finally, two examples considering the quasi-consensus of MASs are given to verify the established results.
Topics & Concepts
Dwell timeDiscrete time and continuous timeControl theory (sociology)Stability (learning theory)State (computer science)Mode (computer interface)Function (biology)Computer scienceMathematicsExponential stabilityAlgorithmPhysicsControl (management)Artificial intelligenceNonlinear systemEvolutionary biologyClinical psychologyStatisticsOperating systemMachine learningQuantum mechanicsBiologyMedicineNeural Networks Stability and SynchronizationDistributed Control Multi-Agent SystemsStability and Control of Uncertain Systems