首页|Stability and ℓ∞-gain analysis for discrete-time positive singular systems with unbounded time-varying delays
Stability and ℓ∞-gain analysis for discrete-time positive singular systems with unbounded time-varying delays
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NETL
NSTL
Wiley
This study considers the stability and <inline-formula/>-gain analysis problem for discrete-time positive singular systems with unbounded time-varying delays. By proposing some new techniques and employing mathematical induction method, the authors first derive a sufficient condition to analyse the stability of the system. The authors then investigate the <inline-formula/>-gain by exploiting the monotonicity of state trajectory. They show that the <inline-formula/>-gain for the considered systems is independent of the magnitude of delays and fully determined by the system matrices. The validity of the theoretical results is demonstrated by a numerical example.
discrete time systemsmatrix algebradelaystime-varying systemsstability
Dinh Cong Huong、Nguyen Huu Sau
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Ton Duc Thang University, Department for Management of Science and Technology Development, Ho Chi Minh City, Vietnam
Hanoi University of Industry, Faculty of Fundamental Science, 298 Caudien, Hanoi, Vietnam
NETL
NSTL
Wiley
