Stochastic stabilization of Markovian jump neutral systems with fractional Brownian motion and quantized controller |
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| Institution: | 1. School of Mathematics, Harbin Institute of Technology, Weihai, Shandong 264209, China;2. School of Computer and Control Engineering, Yantai University, Yantai, Shandong 264005, China;1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;2. School of Mathematics, Southeast University, Nanjing 210096, China;3. Department of Mathematics, Harbin Institute of Technology at Weihai, Shandong 264209, China;1. Department of Mathematics, Harbin Institute of Technology at Weihai, Shangdong 264209, PR China;2. Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA;3. Department of Control Science and Engineering, Harbin Institute of Technology at Weihai, Shangdong 264209, PR China;1. Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India;2. Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India |
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| Abstract: | This paper explores the delay dependent stochastic stabilization of Markovian jump neutral systems (MJNS) which are modeled by fractional Brownian motion(fBm) via a quantized controller. A function Round quantizer is introduced which solves the model uncertainties and the nonlinear part by a uniform operator. Then by structuring a Lyapunov–Krasovskii functional (LKF) and the aid of linear matrix inequalities (LMIs) method, a stochastic stability criterion is achieved. Last, different parameters are selected to simulate the effectiveness of our findings. |
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