Necessary and sufficient stability conditions for integral delay systems

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5907 ◽

2021 ◽

Author(s):

Reynaldo Ortiz ◽

Alexey Egorov ◽

Sabine Mondié

Keyword(s):

Delay Systems ◽

Stability Conditions ◽

Sufficient Stability ◽

Necessary And Sufficient ◽

Sufficient Stability Conditions

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Towards Necessary and Sufficient Stability Conditions for NMPC

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2021.08.536 ◽

2021 ◽

Vol 54 (6) ◽

pp. 139-146

Author(s):

Timm Faulwasser

Keyword(s):

Stability Conditions ◽

Sufficient Stability ◽

Necessary And Sufficient ◽

Sufficient Stability Conditions

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Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays

10.1016/j.automatica.2017.02.034 ◽

2017 ◽

Vol 80 ◽

pp. 218-224 ◽

Author(s):

Alexey V. Egorov ◽

Carlos Cuvas ◽

Sabine Mondié

Keyword(s):

Linear Systems ◽

Distributed Delays ◽

Stability Conditions ◽

Sufficient Stability ◽

Necessary And Sufficient ◽

Sufficient Stability Conditions

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Necessary and sufficient stability conditions for three-layer difference schemes

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(68)90167-5 ◽

1968 ◽

Vol 8 (4) ◽

pp. 278-284

Author(s):

A.V. Gulin

Keyword(s):

Difference Schemes ◽

Stability Conditions ◽

Sufficient Stability ◽

Necessary And Sufficient ◽

Sufficient Stability Conditions

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Necessary and sufficient stability conditions via the eigenvalues–eigenvectors method: an application to the magnetic Bénard problem

Nonlinear Analysis ◽

10.1016/j.na.2004.09.003 ◽

2005 ◽

Vol 63 (5-7) ◽

pp. e2091-e2101 ◽

Author(s):

S. Lombardo ◽

G. Mulone

Keyword(s):

Stability Conditions ◽

Sufficient Stability ◽

Bénard Problem ◽

Benard Problem ◽

Necessary And Sufficient ◽

Sufficient Stability Conditions

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Asymptotically necessary and sufficient stability conditions in the sense of homogeneously polynomially nonquadratic Lyapunov functions for discrete-time Takagi-Sugeno systems

2009 IEEE International Conference on Control and Automation ◽

10.1109/icca.2009.5410281 ◽

2009 ◽

Author(s):

Baocang Ding

Keyword(s):

Discrete Time ◽

Lyapunov Functions ◽

Stability Conditions ◽

Sufficient Stability ◽

Necessary And Sufficient ◽

Takagi Sugeno ◽

Sufficient Stability Conditions

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Asymptotically necessary and sufficient stability conditions for discrete-time Takagi–Sugeno model: Extended applications of Polya's theorem and homogeneous polynomials

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2013.09.025 ◽

2014 ◽

Vol 351 (2) ◽

pp. 922-940 ◽

Author(s):

Tao Zou ◽

Haibin Yu

Keyword(s):

Discrete Time ◽

Stability Conditions ◽

Homogeneous Polynomials ◽

Polya's Theorem ◽

Sufficient Stability ◽

Sugeno Model ◽

Pólya’S Theorem ◽

Necessary And Sufficient ◽

Takagi Sugeno ◽

Sufficient Stability Conditions

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Necessary and sufficient stability conditions for the case of dependent additive perturbations

International Journal of Control ◽

10.1080/00207178608933563 ◽

1986 ◽

Vol 43 (6) ◽

pp. 1615-1629 ◽

Author(s):

B. KOUVARITAKIS ◽

H. LATCHMAN

Keyword(s):

Stability Conditions ◽

Sufficient Stability ◽

Necessary And Sufficient ◽

Sufficient Stability Conditions

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Some hydromagnetic equilibria that satisfy the necessary and sufficient stability conditions

Journal of Nuclear Energy Part C Plasma Physics Accelerators Thermonuclear Research ◽

10.1088/0368-3281/4/2/304 ◽

1962 ◽

Vol 4 (2) ◽

pp. 103-110 ◽

Author(s):

D M Copley ◽

K J Whiteman

Keyword(s):

Stability Conditions ◽

Sufficient Stability ◽

Necessary And Sufficient ◽

Sufficient Stability Conditions

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Necessary and sufficient stability conditions for invariant sets of nonlinear impulsive systems

International Applied Mechanics ◽

10.1007/s10778-008-0027-0 ◽

2008 ◽

Vol 44 (2) ◽

pp. 228-237 ◽

Author(s):

R. I. Gladilina ◽

A. O. Ignat’ev

Keyword(s):

Invariant Sets ◽

Stability Conditions ◽

Impulsive Systems ◽

Sufficient Stability ◽

Necessary And Sufficient ◽

Sufficient Stability Conditions

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THE STABILITY OF DYNAMIC RENT-SEEKING GAMES

International Game Theory Review ◽

10.1142/s0219198999000074 ◽

1999 ◽

Vol 01 (01) ◽

pp. 87-102 ◽

Author(s):

LIN XU ◽

FERENC SZIDAROVSZKY

Keyword(s):

Time Scales ◽

Continuous Time ◽

Rent Seeking ◽

Production Functions ◽

Stability Conditions ◽

Special Cases ◽

Sufficient Stability ◽

The Stability ◽

Necessary And Sufficient ◽

Sufficient Stability Conditions

The asymptotical stability of the equilibrium in dynamic rent-seeking games is examined. Both discrete and continuous time scales are considered. Sufficient, necessary and sufficient stability conditions are derived and then economic interpretations are discussed. Special cases of linear production functions are used to illustrate the conditions.

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