H ∞ Performance State Estimation for Static Neural Networks With Time-Varying Delays via Two Improved Inequalities

Intl J Robust & Nonlinear

Zhang

Ren

2020

This article is concerned with the problem of the event-triggered H ∞ control for network descriptor systems with time-delay under a novel adaptive event-triggering scheme. First, to save more limited communication resource, a novel adaptive event-triggering scheme is introduced to adaptively adjust the communication threshold. Second, by considering the network-induced delay, the system's time-varying delay, and the transmission scheme, a delay system method is used to build a novel time-varying delay system model. Based on this model and Lyapunov function technology, sufficient stability conditions with the H ∞ disturbance performance to verdict admissible and stabilization conditions to codesign the controller gain are obtained in terms of linear matrix inequalities. Then, an event-triggered H ∞ controller is proposed to stabilize descriptor systems with time-delay. Finally, a numerical simulation example and a comparing example are employed to illustrate the effectiveness and the advantageous performances of the proposed adaptive event-triggering scheme.

“…where K are constant real matrices to be determined. Combining (6) and 10, the system can be obtained:…”

Section: State Feedback Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A novel adaptive event‐triggering scheme for network descriptor systems with time‐delay

Intl J Robust & Nonlinear

Zhang

Ren

2020

“…Singular systems are also referred as generalized systems, descriptor systems, or implicit systems, 1 which have extensive applications in electrical circuits, power systems, and networks. [2][3][4][5] On the other research front, Markovian jump systems (MJSs) have attracted growing attention in recent years due to the important ability to appropriately portray a great deal of practical systems with abrupt changes in their structures and parameters. [6][7][8][9][10] If singular systems undergo abrupt changes in their structures, it will lead to famous singular Markovian jump systems (SMJSs), and a large of results have been achieved such as in .…”

Section: Introductionmentioning

confidence: 99%

A unified filter for singular Markovian jump systems with mixed delays based on an extended free‐matrix‐based inequality approach

Tian

Adaptive Control & Signal

2020

Self Cite

In this article, the problem of unified filters design including H ∞ , L 2 − L ∞ , passive, dissipative filters and their reduced-order ones is addressed for continuous-time singular Markovian jump systems with discrete and distributed delays. Unlike some existing works, the mixed delays can be fully captured by proposing an extended free-matrix-based integral inequality. By considering two cases of distributed delays, two novel criteria are presented to ensure the filtering error system to be stochastically admissible and extended dissipative. Some numerical examples are provided to illustrate the effectiveness of the unified filter design methods. K E Y W O R D S extended free-matrix-based integral inequality, singular Markovian jump systems, time-varying delays, unified filters

“…Descriptor systems describe a larger range of dynamical systems and can maintain the physical characteristics of systems better than normal systems. Thus, it is widely used in biological systems, 2 power systems, neural network, 3,4 circuits systems, and so on. During the past year, there are a lot of research directions of descriptor systems, such as sliding mode control, 5 passive control, 6 filter design, 7 observer design, 8 and stability and stabilization 9,10 …”

Section: Introductionmentioning

confidence: 99%

A novel adaptive event‐triggered scheme for network descriptor systems with randomly occurring uncertainties and nonlinearities

Adaptive Control & Signal

Zhang

Cui

et al. 2020

SummaryThis article investigates the problem of event‐triggered control for network descriptor systems with randomly occurring uncertainties and nonlinearities. First, a novel adaptive event‐triggered scheme (AETC) is introduced to save more limited network resource. Second, by considering the network‐induced delay, randomly occurring uncertainties and nonlinearities, and the adaptive transmission scheme, a delay system method is used to build a novel time‐varying delay system model. Based on this model and Lyapunov function technology, sufficient stability conditions to verdict admissible and stabilization conditions to codesign the controller gain and the weighting matrix of the adaptive transmission scheme are obtained in terms of linear matrix inequalities. Finally, a numerical simulation example and a comparing example are employed to illustrate the effectiveness and the advantageous performances of the proposed AETC.