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- Title
Impulsive stabilization for linear neutral‐type time‐delay systems.
- Authors
Chen, Wu‐Hua; Lu, Xiaomei; Zong, Guangdeng
- Abstract
Summary: The problem of impulsive stabilization of linear neutral delay systems is investigated by using the impulse‐time‐dependent Lyapunov functions. The construction of impulse‐time‐dependent Lyapunov functions is based on the singular system representation of the impulsively controlled neutral delay system. In order to overcome the difficulty arising from time‐varying state delays, a Razumikhin‐type analysis method is developed and the key technique is to establish the relation between the slow and fast state variables by using a difference inequality. The derived stability criterion weakens the restriction condition on the impulse operators found in the previous result. For constant delay case, an improved stability criterion is derived by applying an impulse‐time‐dependent Lyapunov functional. Next, based on the newly established stability criteria, novel sufficient conditions on the existence of impulsive controllers with range dwell‐time constraint are presented. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed results.
- Subjects
LYAPUNOV functions; LINEAR systems; TIME delay systems; NONLINEAR systems; NUMERICAL analysis
- Publication
International Journal of Robust & Nonlinear Control, 2018, Vol 28, Issue 17, p5618
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.4343