Explicit construction of quadratic lyapunov functions for the small gain, positivity, circle, and popov theorems and their application to robust stability. part II: Discrete-time theory

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.4590040203 ◽

1994 ◽

Vol 4 (2) ◽

pp. 249-265 ◽

Author(s):

Wassim M. Haddad ◽

Dennis S. Bernstein

Keyword(s):

Robust Stability ◽

Discrete Time ◽

Lyapunov Functions ◽

Explicit Construction ◽

Quadratic Lyapunov Functions ◽

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Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and popov theorems and their application to robust stability. Part I: Continuous-time theory

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.4590030403 ◽

1993 ◽

Vol 3 (4) ◽

pp. 313-339 ◽

Author(s):

Wassim M. Haddad ◽

Dennis S. Bernstein

Keyword(s):

Robust Stability ◽

Continuous Time ◽

Lyapunov Functions ◽

Explicit Construction ◽

Quadratic Lyapunov Functions ◽

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Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle and Popov theorems and their application to robust stability

[1991] Proceedings of the 30th IEEE Conference on Decision and Control ◽

10.1109/cdc.1991.261825 ◽

2002 ◽

Author(s):

M.M. Haddad ◽

D.S. Bernstein

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Explicit Construction ◽

Quadratic Lyapunov Functions ◽

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Explicit Construction of Quadratic Lyapunov Functions for the Small Gain, Positivity, Circle, and Popov Theorems and Their Application to Robust Stability *

CONTROL of UNCERTAIN DYNAMIC SYSTEMS ◽

10.1201/9781003067702-13 ◽

2020 ◽

pp. 149-173

Author(s):

Wassim M. Haddad ◽

Dennis S. Bernstein

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Explicit Construction ◽

Quadratic Lyapunov Functions ◽

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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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Globally optimal quadratic Lyapunov functions for robust stability of systems with structured uncertainty

Dynamics and Control ◽

10.1007/bf02115736 ◽

1994 ◽

Vol 4 (1) ◽

pp. 5-20 ◽

Author(s):

A. Olas ◽

F. Ahmadkhanlou

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Structured Uncertainty ◽

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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Robust H2 guaranteed cost fuzzy control for uncertain discrete-time fuzzy systems via poly-quadratic Lyapunov functions

Asian Journal of Control ◽

10.1002/asjc.229 ◽

2010 ◽

Vol 13 (2) ◽

pp. 309-316 ◽

Author(s):

Mourad Kchou ◽

Mansour Souissi ◽

Ahmed Toumi

Keyword(s):

Fuzzy Control ◽

Discrete Time ◽

Lyapunov Functions ◽

Fuzzy Systems ◽

Quadratic Lyapunov Functions ◽

Guaranteed Cost

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Robust stability analysis of discrete-time switched linear systems with stable and unstable subsystems via switching parameter-dependent Lyapunov functions

2016 2nd International Conference on Control, Automation and Robotics (ICCAR) ◽

10.1109/iccar.2016.7486721 ◽

2016 ◽

Author(s):

Qunxian Zheng ◽

Hongbin Zhang

Keyword(s):

Stability Analysis ◽

Linear Systems ◽

Robust Stability ◽

Discrete Time ◽

Lyapunov Functions ◽

Switched Linear Systems ◽

Unstable Subsystems ◽

Switching Parameter ◽

Robust Stability Analysis ◽

Parameter Dependent

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Comparison between classes of state-quadratic Lyapunov functions for discrete-time linear polytopic and switched systems

Systems & Control Letters ◽

10.1016/j.sysconle.2012.07.010 ◽

2012 ◽

Vol 61 (11) ◽

pp. 1062-1068 ◽

Author(s):

Paolo Mason ◽

Mario Sigalotti ◽

Jamal Daafouz

Keyword(s):

Discrete Time ◽

Switched Systems ◽

Lyapunov Functions ◽

Quadratic Lyapunov Functions ◽

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Robust Stability of linear uncertain systems through Piecewise Quadratic Lyapunov Functions defined over conical partitions

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2012.6427016 ◽

2012 ◽

Author(s):

R. Ambrosino ◽

E. Garone

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Uncertain Systems ◽

Quadratic Lyapunov Functions

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