Sporadic event-based control of first-order linear stochastic systems

Automatica ◽

10.1016/j.automatica.2008.03.026 ◽

2008 ◽

Vol 44 (11) ◽

pp. 2890-2895 ◽

Cited By ~ 185

Author(s):

Toivo Henningsson ◽

Erik Johannesson ◽

Anton Cervin

Keyword(s):

Stochastic Systems ◽

Order Linear ◽

First Order ◽

Linear Stochastic Systems ◽

Event Based

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On Constrained MMVC of Discrete-Time First-Order Linear Stochastic Systems with PSI I: The Critically Stable Case

Asian Journal of Control ◽

10.1002/asjc.941 ◽

2014 ◽

Vol 17 (3) ◽

pp. 932-941 ◽

Cited By ~ 1

Author(s):

Rudong Gai ◽

Guanrong Chen

Keyword(s):

Discrete Time ◽

Stochastic Systems ◽

Order Linear ◽

Stable Case ◽

First Order ◽

Linear Stochastic Systems

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On Prediction and Control of Discrete-Time First-Order Linear Stochastic Systems with Prospective Strong Intervention

Asian Journal of Control ◽

10.1002/asjc.848 ◽

2014 ◽

Vol 17 (1) ◽

pp. 202-212 ◽

Cited By ~ 4

Author(s):

Rudong Gai

Keyword(s):

Discrete Time ◽

Stochastic Systems ◽

Order Linear ◽

First Order ◽

Linear Stochastic Systems ◽

Prediction And Control ◽

And Control

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Sporadic Control of First-Order Linear Stochastic Systems

Hybrid Systems: Computation and Control - Lecture Notes in Computer Science ◽

10.1007/978-3-540-71493-4_25 ◽

2007 ◽

pp. 301-314 ◽

Cited By ~ 17

Author(s):

Erik Johannesson ◽

Toivo Henningsson ◽

Anton Cervin

Keyword(s):

Stochastic Systems ◽

Order Linear ◽

First Order ◽

Linear Stochastic Systems

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Event Based Pulse-Modulated Control of Linear Stochastic Systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2014.2301564 ◽

2014 ◽

Vol 59 (8) ◽

pp. 2144-2150 ◽

Cited By ~ 22

Author(s):

Bingchang Wang ◽

Xiangyu Meng ◽

Tongwen Chen

Keyword(s):

Stochastic Systems ◽

Linear Stochastic Systems ◽

Event Based

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Numerical differentiation and parameter estimation for dth order linear stochastic systems

Proceedings of 1994 33rd IEEE Conference on Decision and Control ◽

10.1109/cdc.1994.411201 ◽

2002 ◽

Author(s):

T.E. Duncan ◽

B. Pasik-Duncan ◽

P. Mandl

Keyword(s):

Parameter Estimation ◽

Stochastic Systems ◽

Numerical Differentiation ◽

Order Linear ◽

Linear Stochastic Systems

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Comparison of Periodic and Event Based Impulse Control for First Order Stochastic Systems with Multiplicative Noise

2020 IEEE 16th International Conference on Control & Automation (ICCA) ◽

10.1109/icca51439.2020.9264500 ◽

2020 ◽

Author(s):

Chao Wang ◽

Bingchang Wang

Keyword(s):

Impulse Control ◽

Multiplicative Noise ◽

Stochastic Systems ◽

First Order ◽

Event Based

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Numerical differentiation and parameter estimation in higher-order linear stochastic systems

IEEE Transactions on Automatic Control ◽

10.1109/9.489273 ◽

1996 ◽

Vol 41 (4) ◽

pp. 522-532 ◽

Cited By ~ 23

Author(s):

T.E. Duncan ◽

P. Mandl ◽

B. Pasik-Duncan

Keyword(s):

Parameter Estimation ◽

Stochastic Systems ◽

Numerical Differentiation ◽

Higher Order ◽

Order Linear ◽

Linear Stochastic Systems

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Structural characterization of optimal event-based controllers for linear stochastic systems

49th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2010.5717890 ◽

2010 ◽

Cited By ~ 30

Author(s):

Adam Molin ◽

Sandra Hirche

Keyword(s):

Structural Characterization ◽

Stochastic Systems ◽

Linear Stochastic Systems ◽

Event Based

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Effect of derivative process on the almost-sure asymptotic stability of second-order linear stochastic systems

Dynamics and Stability of Systems ◽

10.1080/02681118808806047 ◽

1988 ◽

Vol 3 (1-2) ◽

pp. 69-78 ◽

Cited By ~ 2

Author(s):

S. T. Ariaratnam ◽

W.-C. Xie

Keyword(s):

Asymptotic Stability ◽

Stochastic Systems ◽

Second Order ◽

Order Linear ◽

Linear Stochastic Systems

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Effect of Correlation on the Almost-Sure Asymptotic Stability of Second-Order Linear Stochastic Systems

Journal of Applied Mechanics ◽

10.1115/1.3176147 ◽

1989 ◽

Vol 56 (3) ◽

pp. 685-690 ◽

Cited By ~ 11

Author(s):

S. T. Ariaratnam ◽

Wei Chau Xie

Keyword(s):

Asymptotic Stability ◽

Gaussian Noise ◽

Stochastic Systems ◽

Second Order ◽

Order Linear ◽

Stiffness Coefficients ◽

Special Cases ◽

Linear Stochastic Systems ◽

Probabilistic Property ◽

Asymptotic Stability Condition

A method of obtaining a sufficient almost-sure (a.s.) asymptotic stability condition for second-order, linear systems with both ergodic damping and stiffness coefficients is presented. The probabilistic property of the correlation between the damping and stiffness coefficients is taken into account. A sufficient condition for a.s. asymptotic stability is derived and numerical results are presented for the case of Gaussian noise coefficients. Results obtained in some of the previous investigations are included in the present study as special cases.

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