Stochastic stability analysis for joint process driven and networked hybrid systems |
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| Institution: | 1. Department of Control Science and Engineering, Tongji University, Shanghai, PR China;2. Department of Electronic and Computer Engineering, The Hong Kong University of Science and Technology, Hong Kong Special Administrative Region, PR China;3. Department of Electrical and Computer Engineering, Wayne State University, Detroit, MI 48202, USA;4. Department of Mechanical Engineering, Boston University, Boston, MA, USA;1. School of Mathematics, Tel-Aviv University, Tel-Aviv 69978, Israel;2. Department of Mechanical Engineering, Technion, Haifa 32000, Israel;1. Department of Statistics and Operational Research, University of Valencia, Spain;2. Department of Higher Mathematics, Donetsk State University of Management, Ukraine;1. University of Novi Sad, Faculty of Sciences, Department of Physics, Trg Dositeja Obradovića 4, 21000 Novi Sad, Vojvodina, Serbia;2. Academy of Criminalistic and Police Studies, Cara Dušana 196, 11080 Zemun, Serbia;3. University of Novi Sad, Technical Faculty “M. Pupin”, Đure Đakovića bb, 23000 Zrenjanin, Vojvodina, Serbia;4. Academy of Sciences and Arts of the Republic of Srpska, Bana Lazarevića 1, 78000 Banja Luka, Bosnia and Herzegovina;1. School of Science, Dalian Jiaotong University, Dalian 116028, PR China;2. School of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China;1. Department of Physics, University of the Western Cape, Bellville 7535, South-Africa;2. Office of the Deputy Vice Chancellor (Academic), University of the Western Cape, Bellville, South-Africa;3. Indian Institute of Geomagnetism, New Panvel (W), Navi Mumbai, India |
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| Abstract: | The stochastic stability and impulsive noise disturbance attenuation in a class of joint process driven and networked hybrid systems with coupling delays (JPDNHSwD) has been investigated. In particular, there are two separable processes monitoring the networked hybrid systems. One drives inherent network structures and properties, the other induces random variations in the control law. Continuous dynamics and control laws in networked subsystems and couplings among subsystems change as events occur stochastically in a spatio-temporal fashion. When an event occurs, the continuous state variables may jump from one value to another. Using the stochastic Lyapunov functional approach, sufficient conditions on the existence of a remote time-delay feedback controller which ensures stochastic stability for this class of JPDNHSwD are obtained. The derived conditions are expressed in terms of solutions of LMIs. An illustrative example of a dynamical network driven by two Markovian processes is used to demonstrate the satisfactory control performance. |
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| Keywords: | Joint process driven Stochastic stability Networked hybrid systems Impulsive disturbance Remote time-delay feedback control |
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