# Finite-Time Hโ Filtering for Singular Stochastic Systems

@article{Liu2012FiniteTimeHF, title={Finite-Time Hโ Filtering for Singular Stochastic Systems}, author={Caixia Liu and Yingqi Zhang and HuiโJie Sun}, journal={J. Appl. Math.}, year={2012}, volume={2012}, pages={615790:1-615790:16} }

This paper addresses the problem of finite-time ๐ปโ filtering for one family of singular stochastic systems with parametric uncertainties and time-varying norm-bounded disturbance. Initially, the definitions of singular stochastic finite-time boundedness and singular stochastic ๐ปโ finite-time boundedness are presented. Then, the ๐ปโ filtering is designed for the class of singular stochastic systems with or without uncertain parameters to ensure singular stochastic finite-time boundedness ofโฆย

## 10 Citations

### Finite-Time Hโ Filtering for Linear Continuous Time-Varying Systems with Uncertain Observations

- MathematicsJ. Appl. Math.
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The finite-time ๐ปโ filtering problem for linear continuous time-varying systems with uncertain observations and โ2-norm bounded noise is solved by using the projection theory in Krein space.

### Robust Finite-time Dissipative State Feedback Controller Design for Discrete-time Uncertain Singular Systems

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In this paper, we treat the problem of a robust finite-time dissipative state feedback controller design method for discrete-time singular systems with polytopic uncertainties. A BRL(bounded realโฆ

### Robust finite-time estimation of Markovian jumping systems with bounded transition probabilities

- MathematicsAppl. Math. Comput.
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### Decentralized finite-time Hโ filtering for interconnected Markovian jump system with interval mode-dependent delays

- Mathematics, EngineeringAppl. Math. Comput.
- 2015

### Finite time robust filtering for time-varying uncertain polytopic linear systems

- Mathematics2013 European Control Conference (ECC)
- 2013

The filter is obtained in order to guarantee that the augmented system is finite time stable and the design conditions obtained by means of Lyapunov functions are expressed as linear matrix inequalities.

### Robust observerโbased finiteโtime control for oneโsided Lipschitz singular systems with uncertainties

- MathematicsIET Control Theory & Applications
- 2020

This study deals with the problem of observer-based finite-time H โ control for a class of one-sided Lipschitz (OSL) singular systems with uncertainties. The parameter uncertainties are assumed to beโฆ

### Observer-Based Finite-Time Stabilization for A Class of Continuous-Time Descriptor Switched Systems

- Mathematics2019 Chinese Control Conference (CCC)
- 2019

This paper considers observer-based finite time stabilization for a class of continuous-time descriptor switched systems with quadratically inner-bounded nonlinearities and proposes controller design methods that are more general than the existing ones.

### State Feedback Finite Time Stabilization for Continuous Time Switched Singular Systems with Quadratically Inner-Bounded Nonlinearities

- Mathematics2019 Chinese Control Conference (CCC)
- 2019

This study addresses finite-time stability and stabilization for continuous time switched singular systems with quadratically inner-bounded nonlinearities. Firstly, by using average dwell time (ADT)โฆ

### Filtering-Based Fault Detection for Stochastic Markovian Jump System with Distributed Time-Varying Delays and Mixed Modes

- Mathematics, EngineeringJ. Appl. Math.
- 2012

A fault detection filter is designed such that the fault detection system is stochastically stable and satisfies a prescribed disturbance attenuation level by using a novel Lyapunov functional and a mix-mode-dependent sufficient condition is formulated in terms of linear matrix inequalities.

### FiniteโTime Hโ Filtering for Nonlinear ContinuousโTime Singular SemiโMarkov Jump Systems

- Mathematics
- 2018

The stochastic finiteโtime Hโ filtering issue for a class of nonlinear continuousโtime singular semiโMarkov jump systems is discussed in this paper. Firstly, sufficient conditions on singularโฆ

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