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Finite-time boundedness of uncertain Hamiltonian systems via sliding mode control approach

Nonlinear Dynamics, 2021
This paper seeks to address the problem of finite-time stabilization for a class of uncertain Hamiltonian systems via sliding mode control approach. A novel sliding function in connection with the state and energy function of the considered system is constructed, and then, a suitable controller is designed to drive the state trajectories onto the ...
Xinyu Lv, Yugang Niu, Jun Song
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Finite-time boundedness and finite-time l2 gain analysis of discrete-time switched linear systems with average dwell time

Journal of the Franklin Institute, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Xiangze   +3 more
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Stabilization of complex cascade systems using boundedness information in finite time

International Journal of Robust and Nonlinear Control, 2008
AbstractIn this paper, the stabilization problem of several classes of complex cascade systems is investigated from a new point of view. If the closed‐loop system is proven to have no finite escape time, the boundedness information in finite time, which is obtained from robust stable subsystems or recursive analysis procedures, is then sufficiently ...
Ye, Huawen, Gui, Weihua, Liu, Guo-Ping
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A new finite time boundedness condition for fractional order linear systems

2017 Chinese Automation Congress (CAC), 2017
In this paper, the finite-time boundedness (FTB) and the finite-time stability (FTS) for fractional order linear time invariant (LTI) systems are studied. By using the generalized Gronwall inequality, the sufficient conditions expressed in terms of matrix inequality to guarantee the FTB and FTS are derived. The proposed conditions are less conservative
Yong-Hong Lan, Lei Zhou, Zhe-Ming Cui
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Finite-time boundedness and dissipativity analysis of networked cascade control systems

Nonlinear Dynamics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mathiyalagan, K.   +2 more
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Finite time boundedness and stability analysis of discrete time uncertain systems

2015 54th IEEE Conference on Decision and Control (CDC), 2015
In this paper the problems of finite time boundedness and stability of uncertain systems in discrete-time are addressed. By using the Finsler lemma, novel parameter dependent linear matrix inequalities analysis conditions are designed. These conditions can be efficiently solved using a homogeneous polynomial relaxation procedure and readily available ...
H. T. M. Kussaba   +2 more
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Finite time boundedness of switched delay systems by sliding mode technique

2017 36th Chinese Control Conference (CCC), 2017
In 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 stabilization of discrete-time nonlinear quadratic systems

2013 Australian Control Conference, 2013
This paper deals with the problems of finite-time boundedness and stabilization for discrete-time nonlinear quadratic systems. Some sufficient conditions are derived, under which the finite-time boundedness of nonlinear quadratic systems is guaranteed. By using a similar method, the finite-time stability for discrete-time nonlinear quadratic systems is
Yunliang Wei, Wei Xing Zheng
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Finite-time boundedness and extended dissipative analysis of switched delay systems

2017 Chinese Automation Congress (CAC), 2017
This 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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Finite-time stabilization and boundedness for time-varying networked control system

2015 34th Chinese Control Conference (CCC), 2015
In this paper, the finite-time control problem of a class of networked control systems (NCSs) with time-varying delay is investigated. The main results provided in the paper are sufficient conditions for finite-time stability via state feedback. By viewing the time-varying delay as time-varying parameter uncertainties, NCSs with time-varying delay is ...
Sun Yeguo, Liu Heng
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