Absolute stability analysis of discrete-time systems with composite quadratic Lyapunov functions

IEEE Transactions on Automatic Control ◽

10.1109/tac.2005.849201 ◽

2005 ◽

Vol 50 (6) ◽

pp. 781-797 ◽

Author(s):

Tingshu Hu ◽

Zongli Lin

Keyword(s):

Stability Analysis ◽

Discrete Time ◽

Lyapunov Functions ◽

Absolute Stability ◽

Discrete Time Systems ◽

Quadratic Lyapunov Functions ◽

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A procedure for robust stability analysis of discrete-time systems via polyhedral Lyapunov functions

2008 American Control Conference ◽

10.1109/acc.2008.4587143 ◽

2008 ◽

Author(s):

Francesco Amato ◽

Roberto Ambrosino ◽

Marco Ariola ◽

Alessio Merola

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Discrete Time ◽

Lyapunov Functions ◽

Discrete Time Systems ◽

Robust Stability Analysis ◽

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Finite-time stability analysis of linear discrete-time systems via polyhedral Lyapunov functions

2008 American Control Conference ◽

10.1109/acc.2008.4586729 ◽

2008 ◽

Author(s):

F. Amato ◽

R. Ambrosino ◽

M. Ariola ◽

F. Calabrese

Keyword(s):

Stability Analysis ◽

Discrete Time ◽

Finite Time ◽

Lyapunov Functions ◽

Time Stability ◽

Finite Time Stability ◽

Discrete Time Systems ◽

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On input–to–state stability analysis of discrete–time systems via finite–time Lyapunov functions

IFAC Proceedings Volumes ◽

10.3182/20140824-6-za-1003.02358 ◽

2014 ◽

Vol 47 (3) ◽

pp. 8623-8628 ◽

Author(s):

R.V. Bobiti ◽

M. Lazar

Keyword(s):

Stability Analysis ◽

Discrete Time ◽

Finite Time ◽

Lyapunov Functions ◽

Discrete Time Systems ◽

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On the existence of common quadratic Lyapunov functions for second-order linear time-invariant discrete-time systems

International Journal of Adaptive Control and Signal Processing ◽

10.1002/acs.720 ◽

2002 ◽

Vol 16 (10) ◽

pp. 729-751 ◽

Author(s):

Mehmet Akar ◽

Kumpati S. Narendra

Keyword(s):

Discrete Time ◽

Lyapunov Functions ◽

Linear Time ◽

Second Order ◽

Order Linear ◽

Linear Time Invariant ◽

Discrete Time Systems ◽

Quadratic Lyapunov Functions ◽

Time Invariant ◽

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Stability analysis of discrete-time systems with uncertain delays: A quadratic separation approach

2009 European Control Conference (ECC) ◽

10.23919/ecc.2009.7075055 ◽

2009 ◽

Author(s):

F. Gouaisbaut ◽

J.M. Gomes da Silva

Keyword(s):

Stability Analysis ◽

Discrete Time ◽

Discrete Time Systems ◽

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On Stability Analysis of Discrete-Time Systems With Constrained Time-Delays via Nonlinear Halanay-Type Inequality

IEEE Control Systems Letters ◽

10.1109/lcsys.2020.3007096 ◽

2021 ◽

Vol 5 (3) ◽

pp. 869-874

Author(s):

M. T. Grifa ◽

P. Pepe

Keyword(s):

Stability Analysis ◽

Discrete Time ◽

Time Delays ◽

Type Inequality ◽

Discrete Time Systems ◽

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Stability analysis and output-feedback stabilization of discrete-time systems with a time-varying state delay and nonlinear perturbation

Asian Journal of Control ◽

10.1002/asjc.209 ◽

2010 ◽

Vol 13 (6) ◽

pp. 1018-1027 ◽

Author(s):

K. F. Chen ◽

I. K. Fong

Keyword(s):

Stability Analysis ◽

Discrete Time ◽

Output Feedback ◽

Feedback Stabilization ◽

Nonlinear Perturbation ◽

Time Varying ◽

State Delay ◽

Output Feedback Stabilization ◽

Discrete Time Systems ◽

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Computation of Lyapunov functions for discrete-time systems using the Yoshizawa construction

53rd IEEE Conference on Decision and Control ◽

10.1109/cdc.2014.7040251 ◽

2014 ◽

Author(s):

Huijuan Li ◽

Sigurdur Hafstein ◽

Christopher M. Kellett

Keyword(s):

Discrete Time ◽

Lyapunov Functions ◽

Discrete Time Systems ◽

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Bessel summation inequalities for stability analysis of discrete‐time systems with time‐varying delays

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.4398 ◽

2018 ◽

Vol 29 (2) ◽

pp. 473-491 ◽

Author(s):

Seok Young Lee ◽

JunMin Park ◽

PooGyeon Park

Keyword(s):

Stability Analysis ◽

Discrete Time ◽

Time Varying ◽

Discrete Time Systems ◽

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STABILITY ANALYSIS OF UNCERTAIN DISCRETE-TIME SYSTEMS WITH TIME-VARYING STATE DELAY: A PARAMETER-DEPENDENT LYAPUNOV FUNCTION APPROACH

Asian Journal of Control ◽

10.1111/j.1934-6093.2006.tb00296.x ◽

2008 ◽

Vol 8 (4) ◽

pp. 433-440 ◽

Author(s):

Huijun Gao ◽

James Lam ◽

Tongwen Chen ◽

Changhong Wang

Keyword(s):

Stability Analysis ◽

Lyapunov Function ◽

Discrete Time ◽

Function Approach ◽

Time Varying ◽

State Delay ◽

Discrete Time Systems ◽

Parameter Dependent ◽

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