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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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. 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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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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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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Robust stability analysis and controller design with quadratic Lyapunov functions

Lecture Notes in Control and Information Sciences - Variable Structure and Lyapunov Control ◽

10.1007/bfb0033684 ◽

2005 ◽

pp. 181-203 ◽

Author(s):

Martin Corless

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Lyapunov Functions ◽

Controller Design ◽

Quadratic Lyapunov Functions ◽

Robust Stability Analysis

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A team algorithm for robust stability analysis and control design of uncertain time-varying linear systems using piecewise quadratic Lyapunov functions

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.558 ◽

2001 ◽

Vol 11 (4) ◽

pp. 357-371 ◽

Author(s):

H. L. S. Almeida ◽

A. Bhaya ◽

D. M. Falcão ◽

E. Kaszkurewicz

Keyword(s):

Stability Analysis ◽

Linear Systems ◽

Robust Stability ◽

Lyapunov Functions ◽

Control Design ◽

Time Varying ◽

Quadratic Lyapunov Functions ◽

Robust Stability Analysis ◽

Uncertain Time ◽

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A team algorithm for robust stability analysis and control design of uncertain time-varying linear systems using piecewise quadratic Lyapunov functions

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171) ◽

10.1109/cdc.1998.762008 ◽

2002 ◽

Author(s):

H.L.S. Almeida ◽

A. Bhaya ◽

D.M. Falcao ◽

E. Kaszkurewicz

Keyword(s):

Stability Analysis ◽

Linear Systems ◽

Robust Stability ◽

Lyapunov Functions ◽

Control Design ◽

Time Varying ◽

Quadratic Lyapunov Functions ◽

Robust Stability Analysis ◽

Uncertain Time ◽

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Piecewise quadratic Lyapunov functions over conical partitions for robust stability analysis

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.3206 ◽

2014 ◽

Vol 25 (14) ◽

pp. 2348-2361 ◽

Author(s):

Roberto Ambrosino ◽

Emanuele Garone

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Lyapunov Functions ◽

Quadratic Lyapunov Functions ◽

Robust Stability Analysis

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Optimal quadratic Lyapunov functions for robust stability problem

Dynamics and Control ◽

10.1007/bf02169517 ◽

1992 ◽

Vol 2 (3) ◽

pp. 265-279 ◽

Author(s):

A. Glas

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Stability Problem ◽

Quadratic Lyapunov Functions

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