On necessary and sufficient conditions for output finite-time stability

This paper studies the problem of finite-timeH∞control for time-delayed Itô stochastic systems with Markovian switching. By using the appropriate Lyapunov-Krasovskii functional and free-weighting matrix techniques, some sufficient conditions of finite-time stability for time-delayed stochastic systems with Markovian switching are proposed. Based on constructing new Lyapunov-Krasovskii functional, the mode-dependent state feedback controller for the finite-timeH∞control is obtained. Simulation results illustrate the effectiveness of the proposed method.

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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 ◽

10.1109/cdc.2009.5399626 ◽

2009 ◽

Cited By ~ 2

Author(s):

Hiroyuki Ichihara ◽

Hitoshi Katayama

Keyword(s):

Discrete Time ◽

Finite Time ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Discrete Time Systems ◽

Finite Time Boundedness ◽

Necessary And Sufficient ◽

Time Systems

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Finite-Time Synchronization of Complex Dynamical Networks with Time-Varying Delays and Nonidentical Nodes

Journal of Control Science and Engineering ◽

10.1155/2017/5072308 ◽

2017 ◽

Vol 2017 ◽

pp. 1-13 ◽

Cited By ~ 4

Author(s):

Ahmadjan Muhammadhaji ◽

Abdujelil Abdurahman ◽

Haijun Jiang

Keyword(s):

Complex Networks ◽

Finite Time ◽

Time Synchronization ◽

Sufficient Conditions ◽

Time Stability ◽

Finite Time Stability ◽

Uniformly Smooth ◽

Nonidentical Nodes ◽

Smooth State ◽

Synchronization Performance

In this paper, we investigated the finite-time synchronization (FTS) problem for a class of time-delayed complex networks with nonidentical nodes onto any uniformly smooth state. By employing the finite-time stability theorem and designing two types of novel controllers, we obtained some simple sufficient conditions for the FTS of addressed complex networks. Furthermore, we also analyzed the effects of control variables on synchronization performance. Finally, we showed the effectiveness and feasibility of our methods by giving two numerical examples.

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L2 norm-based finite-time stability and boundedness of singular distributed parameter systems with parabolic type

Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering ◽

10.1177/0959651820966892 ◽

2020 ◽

pp. 095965182096689

Author(s):

Xingyu Zhou ◽

Haoping Wang ◽

Yang Tian

Keyword(s):

Finite Time ◽

Sufficient Conditions ◽

Parabolic Type ◽

Distributed Parameter Systems ◽

Temperature Control System ◽

Linear Matrix ◽

Distributed Parameter ◽

Time Stability ◽

Finite Time Stability ◽

L2 Norm

In this study, the problem of finite-time stability and boundedness for parabolic singular distributed parameter systems in the sense of [Formula: see text] norm is investigated. First, two new results on [Formula: see text] norm-based finite-time stability and finite-time boundedness for above-mentioned systems, inspired by the light of partial differential equations theory and Lyapunov functional method, are presented. Then, some sufficient conditions of [Formula: see text] norm-based finite-time stability and boundedness are established by virtue of differential inequalities and linear matrix inequalities. Furthermore, the distributed state feedback controllers are constructed to guarantee the [Formula: see text] norm-based finite-time stable and bounded of the closed-loop singular distributed parameter systems. Finally, numerical simulations on a specific numerical example and the building temperature control system equipped with air conditioning are given to demonstrate the validity of the proposed methods.

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