Exponentially admissibility of neutral singular systems with mixed interval time-varying delays |
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Institution: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;2. School of Mechanical and Electrical Engineering, Suzhou University of Science and Technology, Suzhou 215000, China;3. School of Science, Huzhou University, Huzhou 313000, China;4. School of Electrical Engineering and Automation, Qufu Normal University, Rizhao 276826, China |
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Abstract: | The chief aim of this paper is to analyze the exponentially admissibility of neutral singular systems (NSSs) with mixed interval time-varying delays (TVDs). A new Lyapunov-Krasovskii functional (LKF) is presented based on state decomposition method. Via adopting linear matrix inequality (LMI) method and zero-value equation technology, a novel delay-dependent exponentially admissibility criterion is acquired. Furthermore, the exponentially admissibility analysis of the NSSs with equal mixed TVDs is discussed. Three numerical examples show that our method is effective and superior. In particular, the reasonable analysis and design for two practical application models (direct current (DC) motor model and oil catalytic cracking process (OCCP) model) illustrate that our research is very meaningful. |
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