Krein-space based robustH∞fault estimation for two-dimensional uncertain linear discrete time-varying systems

2018 ◽  
Vol 115 ◽  
pp. 41-47 ◽  
Author(s):  
Dong Zhao ◽  
Steven X. Ding ◽  
Youqing Wang ◽  
Yueyang Li
Keyword(s):  
Discrete Time ◽  
Krein Space ◽  
Fault Estimation ◽  
Time Varying ◽  
Two Dimensional ◽  
Time Varying Systems ◽  
Kreĭn Space

Krein Space-based Hθ Fault Estimation for Linear Discrete Time-varying Systems

2009 ◽  
Vol 34 (12) ◽  
pp. 1529-1533 ◽  
Author(s):  
Mai-Ying ZHONG ◽  
Shuai LIU ◽  
Hui-Hong ZHAO
Keyword(s):  
Discrete Time ◽  
Krein Space ◽  
Fault Estimation ◽  
Time Varying ◽  
Time Varying Systems ◽  
Kreĭn Space

Krein Space-based H∞ Fault Estimation for Linear Discrete Time-varying Systems

2008 ◽  
Vol 34 (12) ◽  
pp. 1529-1533 ◽  
Author(s):  
Mai-Ying ZHONG ◽  
Shuai LIU ◽  
Hui-Hong ZHAO
Keyword(s):  
Discrete Time ◽  
Krein Space ◽  
Fault Estimation ◽  
Time Varying ◽  
Time Varying Systems ◽  
Kreĭn Space

scholarly journals A Krein space-based approach to event-triggered H∞ filtering for linear discrete time-varying systems

Automatica ◽  
2022 ◽  
Vol 135 ◽  
pp. 110001
Author(s):  
Maiying Zhong ◽  
Steven X. Ding ◽  
Qing-Long Han ◽  
Xiao He ◽  
Donghua Zhou
Keyword(s):  
Discrete Time ◽  
Krein Space ◽  
Time Varying ◽  
Time Varying Systems ◽  
Kreĭn Space ◽  
Event Triggered

scholarly journals Finite-TimeH∞Filtering for Linear Continuous Time-Varying Systems with Uncertain Observations

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Huihong Zhao ◽  
Chenghui Zhang
Keyword(s):  
Quadratic Form ◽  
Continuous Time ◽  
Finite Time ◽  
Krein Space ◽  
State Space Model ◽  
Time Varying ◽  
Bounded Noise ◽  
Time Varying Systems ◽  
Kreĭn Space ◽  
Filtering Problem

This paper is concerned with the finite-timeH∞filtering problem for linear continuous time-varying systems with uncertain observations andℒ2-norm bounded noise. The design of finite-timeH∞filter is equivalent to the problem that a certain indefinite quadratic form has a minimum and the filter is such that the minimum is positive. The quadratic form is related to a Krein state-space model according to the Krein space linear estimation theory. By using the projection theory in Krein space, the finite-timeH∞filtering problem is solved. A numerical example is given to illustrate the performance of theH∞filter.

Parity Space-Based Fault Estimation for Linear Discrete Time-Varying Systems

2010 ◽  
Vol 55 (7) ◽  
pp. 1726-1731 ◽  
Author(s):  
Maiying Zhong ◽  
Steven X Ding ◽  
Qing-Long Han ◽  
Qiang Ding
Keyword(s):  
Discrete Time ◽  
Fault Estimation ◽  
Time Varying ◽  
Time Varying Systems ◽  
Parity Space

Properties of the Lower Bohl Exponents of Diagonal Discrete Linear Time-Varying Systems

2015 ◽  
Vol 789-790 ◽  
pp. 1052-1058
Author(s):  
Michał Niezabitowski
Keyword(s):  
Dynamical Systems ◽  
Linear System ◽  
Control Theory ◽  
Lyapunov Exponents ◽  
Discrete Time ◽  
Linear Time ◽  
Time Varying ◽  
Two Dimensional ◽  
Time Varying Systems

The Bohl exponents, similarly as Lyapunov exponents, are one of the most important numerical characteristics of dynamical systems used in control theory. Properties of the Lyapunov characteristics are well described in the literature. Properties of the second above-mentioned exponents are much less investigated in the literature. In this paper we show an example of two-dimensional discrete time-varying linear system with bounded coefficients for which the number of lower Bohl exponents of solutions may be greater than dimension of the system.

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