Input–output finite-time stability of discrete-time systems under finite-time boundedness
International Journal of Systems Science, 2018This paper deals with the input–output finite-time stability of discrete time-varying linear systems in the presence of finite-time boundedness.
Shuai Zhang 0011 +4 more
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A switched system with sector bounded nonlinearities is a precisely unified model to describe many kinds of practical systems. However, up to now, only Lyapunov asymptotically stability of the system has been discussed. Moreover, the existing results of stability analysis and controller design for this kind of systems are under some conservative ...
Lin Xiangze +3 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), 2015In 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 linear systems via periodically intermittent control
International Journal of Systems ScienceXiangze Lin, Jingxin Huang
exaly +2 more sources
Finite-Time Boundedness of Piecewise Affine Systems
IFAC Journal of Systems and ControlThis paper deals with the finite-time boundedness of an important class of hybrid systems, namely PieceWise Affine (PWA) systems. The main results in this article are sufficient conditions for finite-time boundedness, finite-time stability and stabilization of PWA systems.
Sana BenKhaled +4 more
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Finite-Time Boundedness Analysis of Uncertain CGNNs with Multiple Delays
2010The problem of finite-time boundedness(FTB) for a class of Cohen-Grossberg neural networks(CGNNs) with multiple delays and parameter perturbations is analyzed in this paper By way of extending the concept of FTB for time delay system and constructing a suitable Lyapunov function and using linear matrix inequality(LMI) technique, some delay-dependent ...
Xiaohong Wang +3 more
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Finite‐time boundedness of large‐scale systems with actuator faults and gain fluctuations
International Journal of Robust and Nonlinear Control, 2019SummaryThis paper addresses the issue of finite‐time boundedness of large‐scale interconnected systems with the use of a distributed nonfragile fault‐tolerant controller. The objective of this paper is to design a state‐feedback controller consisting of a time‐varying delay such that the resulting closed‐loop system is finite‐time bounded under a ...
V. Tharanidharan +4 more
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LMI-based finite-time boundedness analysis of neural networks with parametric uncertainties
Neurocomputing, 2008In this paper, the problem of finite-time boundedness (FTB) for neural networks with parameter uncertainties is studied. We extend the concept of FTB for neural networks. Based on the linear matrix inequality (LMI) technique, a sufficient condition is derived to guarantee FTB for uncertain neural networks.
Yanjun Shen, Cuicui Li
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Necessary and sufficient conditions for finite-time boundedness of linear continuous-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). This paper gives necessary and sufficient conditions for FTB of linear time-varying continuous-time
Hiroyuki Ichihara, Hitoshi Katayama
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Finite-time boundedness of uncertain Markovian jump systems: A sliding mode approach
2017 Australian and New Zealand Control Conference (ANZCC), 2017This paper investigates the finite-time bounded-ness (FTB) for a class of uncertain Markovian jump systems (MJSs) via sliding mode control (SMC) technique. Firstly, a suitable sliding mode controller is constructed to drive the state trajectories onto the specified sliding surface during a specified finite (possibly short) time interval.
Zhiru Cao +3 more
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