Necessary stability conditions for neutral-type systems with multiple commensurate delays

2017 ◽  
Vol 92 (5) ◽  
pp. 1155-1166 ◽  
Author(s):  
Marco A. Gomez ◽  
Alexey V. Egorov ◽  
Sabine Mondié
Keyword(s):  
Neutral Type ◽  
Type Systems ◽  
Stability Conditions ◽  
Commensurate Delays ◽  
Neutral Type Systems

scholarly journals Exponential stability of nonlinear neutral type systems

2012 ◽  
Vol 22 (2) ◽  
pp. 125-143 ◽  
Author(s):  
Michael Gil'
Keyword(s):  
Exponential Stability ◽  
Neutral Type ◽  
Main Tool ◽  
Type Systems ◽  
Fundamental Solutions ◽  
Stability Conditions ◽  
Norm Estimates ◽  
The Matrix ◽  
Discrete Delays ◽  
Neutral Type Systems

Exponential stability of nonlinear neutral type systems Nonlinear neutral type systems with distributed and discrete delays are considered. Explicit exponential stability conditions are established. The main tool is a combined usage of the recent norm estimates for the matrix resolvents, the Urysohn theorem and estimates for fundamental solutions of the linear parts.

Necessary Stability Conditions for Neutral Type Systems With a Single Delay

2017 ◽  
Vol 62 (9) ◽  
pp. 4691-4697 ◽  
Author(s):  
Marco A. Gomez ◽  
Alexey V. Egorov ◽  
Sabine Mondie
Keyword(s):  
Neutral Type ◽  
Type Systems ◽  
Stability Conditions ◽  
Neutral Type Systems

Simultaneous actuator and sensor fault estimation for neutral-type systems via intermediate observer

2021 ◽  
pp. 014233122110585
Author(s):  
Yuheng Wei ◽  
Dongbing Tong ◽  
Qiaoyu Chen ◽  
Yuqing Sun ◽  
Wuneng Zhou
Keyword(s):  
Neutral Type ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Type Systems ◽  
Matching Condition ◽  
Descriptor System ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Sensor Faults ◽  
Neutral Type Systems

This study addresses the fault estimation (FE) issue for neutral-type systems with sensor faults and actuator faults through the intermediate observer. First, it is well-known that the observer matching condition (OMC) ought to be met for most traditional FE methods, which is actually difficult to satisfy for many systems. In order to overcome this limitation, a suitable variable is designed and the intermediate observer is proposed to estimate the actuator and sensor faults for neutral-type systems simultaneously. Second, based on linear matrix inequalities, sufficient conditions are derived, which guarantee the existence of the intermediate observer. An augmented descriptor system is constructed for the neutral-type systems. By the Lyapunov stability theory, states of error systems are ultimately bounded. Finally, two examples demonstrate the effectiveness and practicability of the designed strategy.

scholarly journals A new stability criterion for neutral-type systems with one delay

2018 ◽  
Vol 51 (14) ◽  
pp. 177-182 ◽  
Author(s):  
Marco A. Gomez ◽  
Alexey V. Egorov ◽  
Sabine Mondié
Keyword(s):  
Stability Criterion ◽  
Neutral Type ◽  
Type Systems ◽  
Neutral Type Systems
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