Finite-time boundedness and stabilization of switched linear systems
Kybernetika, 2010Summary: Finite-time boundedness and stabilization problems for a class of switched linear systems with time-varying exogenous disturbances are studied. Firstly, the concepts of finite-time stability and finite-time boundedness are extended to switched linear systems.
Haibo Du, Xiangze Lin, Shihua Li 0001
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Finite-Time Boundedness Analysis of Memristive Neural Network with Time-Varying Delay
Neural Processing Letters, 2015This paper considers the issue of the finite-time boundedness (FTB) of memristive neural network (MNN) with time-varying delay. It is known that the parameters of MNN are state dependent, the system stability of MNN via the classical analytical techniques is not realized directly.
Hui Zhao 0009 +4 more
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Event-based Finite-time Boundedness of Discrete-time Network Systems
International Journal of Control, Automation and Systems, 2020This paper deals with the event-based finite-time H∞ control problem of discrete-time network control systems with norm bounded input disturbances and nonlinear stochastic functions. A network-induced delay stochastic model is first constructed by event-triggered approach.
Yingqi Zhang +3 more
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Necessary and sufficient conditions for finite-time boundedness of linear discrete-time systems
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009Finite-time stability (FTS) requires that the state of a system does not exceed a certain bound during a specified time interval for given bound on the initial state. The concept of FTS introduced exogenous inputs is called finite-time boundedness (FTB).
Hiroyuki Ichihara, Hitoshi Katayama
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Boundedness and finite-time blow-up in a repulsion-consumption system with flux limitation
Journal of Mathematical PhysicsWe investigate the following repulsion-consumption system with flux limitation ut = Δu + ∇ · (uf(|∇v|2)∇v), τvt = Δv − uv, x ∈ Ω, t > 0, under the no-flux/Dirichlet boundary conditions ∇u+uf(|∇v|2)∇v⋅ν|∂Ω=0 and v|∂Ω = M, where Ω⊂Rn is a smoothly bounded domain and f(ξ) generalizes the prototype given by f(ξ) = (1 + ξ)−α (ξ ⩾ 0).
Ziyue Zeng, Jianlu Yan, Yuxiang Li
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Xiangze Lin +3 more
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Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout
International Journal of Systems Science, 2013In this paper, the finite-time boundedness and stabilisation problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. The main results provided in the paper are sufficient conditions for finite-time boundedness and stability via state feedback.
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Finite time boundedness of switched delay systems by sliding mode technique
2017 36th Chinese Control Conference (CCC), 2017In this paper, the finite-time boundedness (FTB) problem of sliding mode control (SMC) is investigated for a class of switched delay systems subject to uncertain parameter and nonlinear perturbation. A SMC law is constructed to drive the state trajectories onto the integral sliding surface during a finite time interval.
Haijuan Zhao, Yugang Niu, Tinggang Jia
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Finite-time boundedness and extended dissipative analysis of switched delay systems
2017 Chinese Automation Congress (CAC), 2017This paper investigates the problem of finite-time extended dissipative analysis for a class of switched delay systems. By using average dwell-time and linear matrix inequality technique, sufficient conditions are proposed to guarantee the switched delay system is finite-time bounded and has finitetime extended dissipative performance, where the H ...
Hui Gao +4 more
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Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
Nonlinear Analysis: Theory, Methods & Applications, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Winkler, Michael, Djie, Kianhwa C.
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