Robust stability and stabilization of a class of nonlinear discrete time stochastic systems: An LMI approach

S. Sathananthan; M.J. Knap; A. Strong; L.H. Keel

doi:10.1016/j.amc.2012.08.040

Robust stability and stabilization of a class of nonlinear discrete time stochastic systems: An LMI approach

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.08.040 ◽

2012 ◽

Vol 219 (4) ◽

pp. 1988-1997 ◽

Cited By ~ 9

Author(s):

S. Sathananthan ◽

M.J. Knap ◽

A. Strong ◽

L.H. Keel

Keyword(s):

Robust Stability ◽

Discrete Time ◽

Stochastic Systems ◽

Lmi Approach ◽

Stability And Stabilization ◽

Robust Stability And Stabilization

Download Full-text

LMI approach to robust stability and stabilization of nonlinear uncertain discrete-time systems with convex polytopic uncertainties

Advances in Difference Equations ◽

10.1186/1687-1847-2012-106 ◽

2012 ◽

Vol 2012 (1) ◽

Cited By ~ 3

Author(s):

M Rajchakit ◽

G Rajchakit

Keyword(s):

Robust Stability ◽

Discrete Time ◽

Lmi Approach ◽

Discrete Time Systems ◽

Stability And Stabilization ◽

Polytopic Uncertainties ◽

Time Systems ◽

Convex Polytopic Uncertainties ◽

Robust Stability And Stabilization

Download Full-text

Robust stability and stabilization of discrete-time non-linear systems: The LMI approach

International Journal of Control ◽

10.1080/00207170010038712 ◽

2001 ◽

Vol 74 (9) ◽

pp. 873-879 ◽

Cited By ~ 90

Author(s):

D. M. Stipanovic ◽

D. D. Siljak

Keyword(s):

Linear Systems ◽

Robust Stability ◽

Discrete Time ◽

Lmi Approach ◽

Non Linear ◽

Stability And Stabilization ◽

Non Linear Systems ◽

Robust Stability And Stabilization

Download Full-text

Robust stability and stabilization of discrete-time infinite Markov jump linear systems

2009 European Control Conference (ECC) ◽

10.23919/ecc.2009.7074904 ◽

2009 ◽

Cited By ~ 1

Author(s):

Marcos G. Todorov ◽

Marcelo D. Fragoso

Keyword(s):

Linear Systems ◽

Robust Stability ◽

Discrete Time ◽

Markov Jump ◽

Jump Linear Systems ◽

Markov Jump Linear Systems ◽

Stability And Stabilization ◽

Robust Stability And Stabilization

Download Full-text

Robust Stability and Stabilization of a Class of Nonlinear Switched Discrete-Time Systems with Time-Varying Delays

Journal of Optimization Theory and Applications ◽

10.1007/s10957-009-9560-1 ◽

2009 ◽

Vol 143 (2) ◽

pp. 329-355 ◽

Cited By ~ 35

Author(s):

M. S. Mahmoud ◽

Y. Xia

Keyword(s):

Robust Stability ◽

Discrete Time ◽

Time Varying ◽

Discrete Time Systems ◽

Stability And Stabilization ◽

Time Systems ◽

Robust Stability And Stabilization

Download Full-text

LMI approach to delay-dependent robust stability and stabilization of uncertain linear delay systems

Proceedings of 1995 34th IEEE Conference on Decision and Control ◽

10.1109/cdc.1995.479148 ◽

2002 ◽

Cited By ~ 5

Author(s):

Xi Li ◽

C.E. de Souza

Keyword(s):

Robust Stability ◽

Delay Systems ◽

Lmi Approach ◽

Linear Delay ◽

Stability And Stabilization ◽

Delay Dependent ◽

Robust Stability And Stabilization

Download Full-text

Interconnected switched discrete-time systems: robust stability and stabilization

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnq019 ◽

2010 ◽

Vol 28 (1) ◽

pp. 41-73 ◽

Cited By ~ 9

Author(s):

M. S. Mahmoud ◽

F. M. AL-Sunni ◽

Y. Xia

Keyword(s):

Robust Stability ◽

Discrete Time ◽

Discrete Time Systems ◽

Stability And Stabilization ◽

Time Systems ◽

Robust Stability And Stabilization

Download Full-text

Robust stability and stabilization methods for a class of nonlinear discrete-time delay systems

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.12.054 ◽

2010 ◽

Vol 215 (12) ◽

pp. 4280-4292 ◽

Cited By ~ 13

Author(s):

Magdi S. Mahmoud ◽

Naif B. Almutairi

Keyword(s):

Time Delay ◽

Robust Stability ◽

Discrete Time ◽

Delay Systems ◽

Time Delay Systems ◽

Stabilization Methods ◽

Discrete Time Delay ◽

Stability And Stabilization ◽

Robust Stability And Stabilization

Download Full-text

Robust stability and stabilization of the family of jumping stochastic systems

Nonlinear Analysis ◽

10.1016/s0362-546x(97)00195-8 ◽

1997 ◽

Vol 30 (5) ◽

pp. 2855-2866 ◽

Cited By ~ 39

Author(s):

P.V. Pakshin

Keyword(s):

Robust Stability ◽

Stochastic Systems ◽

The Family ◽

Stability And Stabilization ◽

Robust Stability And Stabilization

Download Full-text

Robust stability and stabilization analysis for discrete-time randomly switched fuzzy systems with known sojourn probabilities

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2015.03.004 ◽

2015 ◽

Vol 17 ◽

pp. 128-143 ◽

Cited By ~ 16

Author(s):

L. Jarina Banu ◽

P. Balasubramaniam

Keyword(s):

Robust Stability ◽

Discrete Time ◽

Fuzzy Systems ◽

Stability And Stabilization ◽

Robust Stability And Stabilization

Download Full-text

Robust stability and stabilization of discrete-time Markov jump linear systems with partly unknown transition probability matrix

2013 American Control Conference ◽

10.1109/acc.2013.6580905 ◽

2013 ◽

Cited By ~ 5

Author(s):

Marcio F. Braga ◽

Cecilia F. Morais ◽

Ricardo C. L. F. Oliveira ◽

Pedro L. D. Peres

Keyword(s):

Linear Systems ◽

Robust Stability ◽

Discrete Time ◽

Transition Probability ◽

Transition Probability Matrix ◽

Markov Jump ◽

Jump Linear Systems ◽

Markov Jump Linear Systems ◽

Stability And Stabilization ◽

Robust Stability And Stabilization

Download Full-text