Discussion on: “Mean Square Exponential Stability for Some Stochastic Linear Discrete Time Systems”

European Journal of Control ◽

10.1016/s0947-3580(06)70888-3 ◽

2006 ◽

Vol 12 (4) ◽

pp. 397-399

Author(s):

O.L.V. Costa

Keyword(s):

Exponential Stability ◽

Discrete Time ◽

Mean Square ◽

Discrete Time Systems ◽

Mean Square Exponential Stability ◽

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Mean Square Exponential Stability for some Stochastic Linear Discrete Time Systems

European Journal of Control ◽

10.3166/ejc.12.373-395 ◽

2006 ◽

Vol 12 (4) ◽

pp. 373-395 ◽

Author(s):

Vasile Dragan ◽

Toader Morozan

Keyword(s):

Exponential Stability ◽

Discrete Time ◽

Mean Square ◽

Discrete Time Systems ◽

Mean Square Exponential Stability ◽

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Discussion on: Mean Square Exponential Stability for Stochastic Linear Discrete Time Systems

European Journal of Control ◽

10.3166/ejc.12.396-399 ◽

2006 ◽

Vol 12 (4) ◽

pp. 396-399

Author(s):

Howard Jay Chizeck ◽

Chun-I Chen ◽

Yuandong Ji

Keyword(s):

Exponential Stability ◽

Discrete Time ◽

Mean Square ◽

Discrete Time Systems ◽

Mean Square Exponential Stability ◽

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Discussion on: “Mean Square Exponential Stability for Some Stochastic Linear Discrete Time Systems”

European Journal of Control ◽

10.1016/s0947-3580(06)70887-1 ◽

2006 ◽

Vol 12 (4) ◽

pp. 396-397

Author(s):

Howard Jay Chizeck ◽

Chun-I Chen ◽

Yuandong Ji

Keyword(s):

Exponential Stability ◽

Discrete Time ◽

Mean Square ◽

Discrete Time Systems ◽

Mean Square Exponential Stability ◽

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On the exponential stability of discrete-time systems with applications in observer design

Proceedings of 1994 American Control Conference - ACC '94 ◽

10.1109/acc.1994.752465 ◽

2005 ◽

Author(s):

V.C. Aitken ◽

H.M. Schwartz

Keyword(s):

Exponential Stability ◽

Discrete Time ◽

Observer Design ◽

Discrete Time Systems ◽

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Mean square exponential stability of discrete-time Markov switched stochastic neural networks with partially unstable subsystems and mixed delays

Information Sciences ◽

10.1016/j.ins.2021.08.068 ◽

2021 ◽

Vol 580 ◽

pp. 243-259

Author(s):

Lina Fan ◽

Quanxin Zhu

Keyword(s):

Neural Networks ◽

Exponential Stability ◽

Discrete Time ◽

Stochastic Neural Networks ◽

Mixed Delays ◽

Mean Square ◽

Unstable Subsystems ◽

Mean Square Exponential Stability

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Exponential stability of impulsive discrete-time systems with infinite delays

International Journal of Systems Science ◽

10.1080/00207721.2018.1536233 ◽

2018 ◽

Vol 49 (16) ◽

pp. 3272-3283 ◽

Author(s):

Yu Lin ◽

Yu Zhang

Keyword(s):

Exponential Stability ◽

Discrete Time ◽

Infinite Delays ◽

Discrete Time Systems ◽

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Mean-square exponential stability for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2014.07.013 ◽

2014 ◽

Vol 351 (10) ◽

pp. 4688-4723 ◽

Author(s):

Shaohua Long ◽

Shouming Zhong

Keyword(s):

Exponential Stability ◽

Discrete Time ◽

Time Varying ◽

Mean Square ◽

Markovian Jump ◽

Time Varying Delay ◽

Singular Markovian Jump Systems ◽

Mean Square Exponential Stability ◽

Jump Systems ◽

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On the exponential stability of discrete-time systems with applications in observer design

IEEE Transactions on Automatic Control ◽

10.1109/9.317135 ◽

1994 ◽

Vol 39 (9) ◽

pp. 1959-1962 ◽

Author(s):

V.C. Aitken ◽

H.M. Schwartz

Keyword(s):

Exponential Stability ◽

Discrete Time ◽

Observer Design ◽

Discrete Time Systems ◽

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Mean-square filtering for polynomial discrete-time systems with Poisson noises

IET Control Theory and Applications ◽

10.1049/iet-cta.2015.1000 ◽

2016 ◽

Vol 10 (8) ◽

pp. 911-918 ◽

Author(s):

Miguel Hernandez-Gonzalez ◽

Juan Jose Maldonado ◽

Michael V. Basin

Keyword(s):

Discrete Time ◽

Mean Square ◽

Discrete Time Systems ◽

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Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach Spaces

Journal of Function Spaces and Applications ◽

10.1155/2013/645250 ◽

2013 ◽

Vol 2013 ◽

pp. 1-6 ◽

Author(s):

Xiao-qiu Song ◽

Tian Yue ◽

Dong-qing Li

Keyword(s):

Exponential Stability ◽

Banach Spaces ◽

Discrete Time ◽

Difference Equations ◽

Exponential Dichotomy ◽

Linear Difference Equations ◽

Discrete Time Systems ◽

Exponential Trichotomy ◽

The aim of this paper is to give several characterizations for nonuniform exponential trichotomy properties of linear difference equations in Banach spaces. Well-known results for exponential stability and exponential dichotomy are extended to the case of nonuniform exponential trichotomy.

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