Extended Robust $\mathcal{H}_{2}$ and $\mathcal{H}_{\infty}$ Filter Design for Discrete Time-Invariant Linear Systems with Polytopic Uncertainty

Dong Hwan Lee; Young Hoon Joo

doi:10.1007/s00034-013-9658-4

Extended Robust $\mathcal{H}_{2}$ and $\mathcal{H}_{\infty}$ Filter Design for Discrete Time-Invariant Linear Systems with Polytopic Uncertainty

Circuits Systems and Signal Processing ◽

10.1007/s00034-013-9658-4 ◽

2013 ◽

Vol 33 (2) ◽

pp. 393-419 ◽

Cited By ~ 24

Author(s):

Dong Hwan Lee ◽

Young Hoon Joo

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Filter Design ◽

Polytopic Uncertainty ◽

Time Invariant

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Reduced order positive filter design for positive uncertain discrete-time linear systems*

IEEE Control Systems Letters ◽

10.1109/lcsys.2021.3089368 ◽

2021 ◽

pp. 1-1

Author(s):

Amanda Spagolla ◽

Cecilia F. Morais ◽

Ricardo C. L. F. Oliveira ◽

Pedro L. D. Peres

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Filter Design ◽

Reduced Order ◽

Time Linear

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Filter design of discrete-time switched linear systems with time-varying parameters

2010 3rd International Symposium on Systems and Control in Aeronautics and Astronautics ◽

10.1109/isscaa.2010.5633208 ◽

2010 ◽

Author(s):

Lixian Zhang ◽

Naigang Cui ◽

Ary Pizarro Chong

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Filter Design ◽

Time Varying ◽

Switched Linear Systems ◽

Varying Parameters ◽

Time Varying Parameters

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Linear Systems: Discrete-Time, Time-Invariant State Variable Descriptions

Encyclopedia of Systems and Control ◽

10.1007/978-1-4471-5058-9_187 ◽

2015 ◽

pp. 670-673

Author(s):

Panos J. Antsaklis

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Invariant State ◽

State Variable ◽

Time Invariant

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A novel approach to unknown input filter design for discrete-time linear systems

Automatica ◽

10.1016/j.automatica.2014.07.015 ◽

2014 ◽

Vol 50 (11) ◽

pp. 2835-2839 ◽

Cited By ~ 27

Author(s):

Behnam Allahverdi Charandabi ◽

Horacio J. Marquez

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Filter Design ◽

Unknown Input ◽

Novel Approach ◽

Input Filter ◽

Time Linear

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Conversion of discrete-time time-invariant linear systems into continuous systems

International Journal of Systems Science ◽

10.1080/00207729208949439 ◽

1992 ◽

Vol 23 (11) ◽

pp. 2063-2089

Author(s):

MORISHIGE KIMURA

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Continuous Systems ◽

Time Invariant

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Trajectory-dependent filter design for discrete-time switched linear systems

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2009.06.007 ◽

2010 ◽

Vol 4 (1) ◽

pp. 1-8 ◽

Cited By ~ 8

Author(s):

G.S. Deaecto ◽

J.C. Geromel ◽

J. Daafouz

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Filter Design ◽

Switched Linear Systems

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l1-gain performance analysis and positive filter design for positive discrete-time Markov jump linear systems: A linear programming approach

Automatica ◽

10.1016/j.automatica.2014.05.022 ◽

2014 ◽

Vol 50 (8) ◽

pp. 2098-2107 ◽

Cited By ~ 139

Author(s):

Shuqian Zhu ◽

Qing-Long Han ◽

Chenghui Zhang

Keyword(s):

Linear Programming ◽

Performance Analysis ◽

Linear Systems ◽

Discrete Time ◽

Filter Design ◽

Programming Approach ◽

Markov Jump ◽

Jump Linear Systems ◽

Linear Programming Approach ◽

Markov Jump Linear Systems

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Delay-dependent robust ℋ∞ filter design for state-delayed discrete-time linear systems via homogeneous polynomial matrices

IET Control Theory and Applications ◽

10.1049/iet-cta.2012.0682 ◽

2013 ◽

Vol 7 (1) ◽

pp. 125-135 ◽

Cited By ~ 15

Author(s):

Márcio J. Lacerda ◽

Ricardo C.L.F. Oliveira ◽

Valter J.S. Leite ◽

Pedro L.D. Peres

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Homogeneous Polynomial ◽

Filter Design ◽

Polynomial Matrices ◽

Delay Dependent ◽

Time Linear

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*** ℋ ∞ Filter Design through Multi-simplex Modeling for Discrete-time Markov Jump Linear Systems with Partly Unknown Transition Probability Matrix

IFAC Proceedings Volumes ◽

10.3182/20140824-6-za-1003.01050 ◽

2014 ◽

Vol 47 (3) ◽

pp. 5049-5054 ◽

Cited By ~ 1

Author(s):

Cecília F. Morais ◽

Márcio F. Braga ◽

Márcio J. Lacerda ◽

Ricardo C.L.F. Oliveira ◽

Pedro L.D. Peres

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Filter Design ◽

Transition Probability ◽

Transition Probability Matrix ◽

Markov Jump ◽

Jump Linear Systems ◽

Markov Jump Linear Systems

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Optimal State Feedback Input-Output Stabilization of Infinite-Dimensional Discrete Time-Invariant Linear Systems

Complex Analysis and Operator Theory ◽

10.1007/s11785-007-0035-9 ◽

2007 ◽

Vol 2 (3) ◽

pp. 479-510 ◽

Cited By ~ 4

Author(s):

Mark R. Opmeer ◽

Olof J. Staffans

Keyword(s):

Linear Systems ◽

Discrete Time ◽

State Feedback ◽

Input Output ◽

Infinite Dimensional ◽

Optimal State ◽

Output Stabilization ◽

Optimal State Feedback ◽

Time Invariant

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