The lyapunov equation and the problem of stability for linear bounded discrete-time systems in Hilbert space

K. Maciej Przyluski

doi:10.1007/bf01442886

The lyapunov equation and the problem of stability for linear bounded discrete-time systems in Hilbert space

Applied Mathematics & Optimization ◽

10.1007/bf01442886 ◽

1980 ◽

Vol 6 (1) ◽

pp. 97-112 ◽

Cited By ~ 25

Author(s):

K. Maciej Przyluski

Keyword(s):

Hilbert Space ◽

Discrete Time ◽

Lyapunov Equation ◽

Discrete Time Systems ◽

Time Systems

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A parametric Lyapunov equation approach to low gain feedback design for discrete-time systems

Automatica ◽

10.1016/j.automatica.2008.06.019 ◽

2009 ◽

Vol 45 (1) ◽

pp. 238-244 ◽

Cited By ~ 72

Author(s):

Bin Zhou ◽

Zongli Lin ◽

Guang-Ren Duan

Keyword(s):

Discrete Time ◽

Lyapunov Equation ◽

Equation Approach ◽

Feedback Design ◽

Discrete Time Systems ◽

Time Systems ◽

Parametric Lyapunov Equation

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Null controllability with vanishing energy for discrete-time systems in Hilbert space

2008 47th IEEE Conference on Decision and Control ◽

10.1109/cdc.2008.4739507 ◽

2008 ◽

Author(s):

Akira Ichikawa

Keyword(s):

Hilbert Space ◽

Discrete Time ◽

Null Controllability ◽

Discrete Time Systems ◽

Time Systems

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Parametric Lyapunov Equation Approach to Stabilization of Discrete-Time Systems With Input Delay and Saturation

IEEE Transactions on Circuits and Systems I Regular Papers ◽

10.1109/tcsi.2011.2143170 ◽

2011 ◽

Vol 58 (11) ◽

pp. 2741-2754 ◽

Cited By ~ 53

Author(s):

Bin Zhou ◽

Zongli Lin

Keyword(s):

Discrete Time ◽

Lyapunov Equation ◽

Input Delay ◽

Equation Approach ◽

Discrete Time Systems ◽

Time Systems ◽

Parametric Lyapunov Equation

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On Optimal Stochastic Control of Discrete-Time Systems in Hilbert Space

SIAM Journal on Control ◽

10.1137/0313076 ◽

1975 ◽

Vol 13 (6) ◽

pp. 1217-1234 ◽

Cited By ~ 28

Author(s):

Jerzy Zabczyk

Keyword(s):

Hilbert Space ◽

Stochastic Control ◽

Discrete Time ◽

Optimal Stochastic Control ◽

Discrete Time Systems ◽

Time Systems

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Null Controllability with Vanishing Energy for Discrete‐Time Systems in Hilbert Space

SIAM Journal on Control and Optimization ◽

10.1137/060657637 ◽

2007 ◽

Vol 46 (2) ◽

pp. 683-693 ◽

Cited By ~ 2

Author(s):

Akira Ichikawa

Keyword(s):

Hilbert Space ◽

Discrete Time ◽

Null Controllability ◽

Discrete Time Systems ◽

Time Systems

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A Parametric Lyapunov Equation Approach to Low Gain Feedback Design for Discrete-time Systems

IFAC Proceedings Volumes ◽

10.3182/20080706-5-kr-1001.01061 ◽

2008 ◽

Vol 41 (2) ◽

pp. 6289-6294

Author(s):

Bin Zhou ◽

Zongli Lin ◽

Guangren Duan

Keyword(s):

Discrete Time ◽

Lyapunov Equation ◽

Equation Approach ◽

Feedback Design ◽

Discrete Time Systems ◽

Time Systems ◽

Parametric Lyapunov Equation

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On Stability of a Class of Controlled Discrete-Time Systems in Hilbert Space

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)30458-5 ◽

2004 ◽

Vol 37 (21) ◽

pp. 141-146

Author(s):

Joseph J. Yamé ◽

Michel Kinnaert

Keyword(s):

Hilbert Space ◽

Discrete Time ◽

Discrete Time Systems ◽

Time Systems

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Orthogonal functions approach to the analysis of discrete-time systems is unnecessary

Journal of the Franklin Institute ◽

10.1016/s0016-0032(98)90003-5 ◽

1998 ◽

Vol 355 (3) ◽

pp. 441-449

Author(s):

B Mohan

Keyword(s):

Discrete Time ◽

Orthogonal Functions ◽

Discrete Time Systems ◽

Time Systems

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Optimization of Stochastic Systems: Topics in Discrete-Time Systems

10.1016/s0076-5392(08)x6117-x ◽

1967 ◽

Keyword(s):

Discrete Time ◽

Stochastic Systems ◽

Discrete Time Systems ◽

Time Systems

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PFC design via FRIT Approach for Adaptive Output Feedback Control of Discrete-time Systems

IEEJ Transactions on Electronics Information and Systems ◽

10.1541/ieejeiss.132.834 ◽

2012 ◽

Vol 132 (6) ◽

pp. 834-841 ◽

Cited By ~ 3

Author(s):

Ikuro Mizumoto ◽

Taro Takagi ◽

Sota Fukui ◽

Sirish L. Shah

Keyword(s):

Feedback Control ◽

Discrete Time ◽

Output Feedback ◽

Output Feedback Control ◽

Discrete Time Systems ◽

Adaptive Output Feedback Control ◽

Time Systems

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