首页|Reachable set estimation for continuous delayed singularly perturbed systems with bounded disturbances
Reachable set estimation for continuous delayed singularly perturbed systems with bounded disturbances
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NSTL
Elsevier
Reachable set estimation problem in allusion to continuous-time singularly perturbed systems that take on time-varying delays and bounded disturbances is discussed in this paper. In many singularly perturbed systems, since the perturbed parameter kappa is not available, our task is to determine an ellipsoid as small as possible which can be independent on kappa. In this case, for any admissible singularly perturbed parameters, this ellipsoid can surround the states of the system. First, in order to obtain more accurate result, the delay is unequally divided into two sub-intervals and a kappa-dependent Lyapunov-Krasocskii functional is established. Then, with the aid of reciprocally convex inequality for each sub-interval, sufficient delay-dependent conditions are established which can make the system states contained by a kappa-independent ellipsoid. Finally, a numerical example is given to verify the validity of the result. (C) 2021 Elsevier Inc. All rights reserved.
Singularly perturbed systemReachable set estimationTime-varying delayDelay decompositionJUMP NEURAL-NETWORKSSWITCHED SYSTEMSLINEAR-SYSTEMSDISCRETE
NSTL
Elsevier
