scholarly journals Exact controllability of linear neutral type systems by the moment problem approach

2008 ◽  
Author(s):  
Rabah Rabah ◽  
Grigory M. Sklyar
Keyword(s):  
Moment Problem ◽  
Neutral Type ◽  
Exact Controllability ◽  
Type Systems ◽  
The Moment ◽  
Neutral Type Systems

scholarly journals Exact null controllability, complete stabilizability and continuous final observability of neutral type systems

2017 ◽  
Vol 27 (3) ◽  
pp. 489-499 ◽  
Author(s):  
Rabah Rabah ◽  
Grigory Sklyar ◽  
Pavel Barkhayev
Keyword(s):  
Decay Rate ◽  
Hilbert Spaces ◽  
Neutral Type ◽  
Exact Controllability ◽  
Type Systems ◽  
Null Controllability ◽  
Exact Null Controllability ◽  
Arbitrary Decay ◽  
Neutral Type Systems

AbstractFor abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latter property being related to exact null controllability. We also consider the case when the feedback is not bounded. We obtain a characterization of complete stabilizability for neutral type systems. Conditions for exact null controllability of neutral type systems are discussed. By duality, we obtain a result about continuous final observability. Illustrative examples are given.

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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