On positive realness and negative imaginariness of uncertain discrete-time state-space symmetric systems

2020 ◽  
Vol 51 (8) ◽  
pp. 1406-1417
Author(s):  
Mei Liu ◽  
James Lam ◽  
Bohao Zhu ◽  
Xingjian Jing
Keyword(s):  
State Space ◽  
Discrete Time ◽  
Positive Realness ◽  
Symmetric Systems

On positive realness, negative imaginariness, and H∞ control of state-space symmetric systems

Automatica ◽  
2019 ◽  
Vol 101 ◽  
pp. 190-196 ◽  
Author(s):  
Mei Liu ◽  
James Lam ◽  
Bohao Zhu ◽  
Ka-Wai Kwok
Keyword(s):  
State Space ◽  
Positive Realness ◽  
Symmetric Systems

Negative imaginariness and positive realness analysis of state-space symmetric systems with interval uncertainty

2021 ◽  
pp. 095965182110480
Author(s):  
Mei Liu ◽  
Hong Lin ◽  
Yan Wang ◽  
Gang Chen
Keyword(s):  
State Space ◽  
Interval Uncertainty ◽  
Symmetric System ◽  
Positive Real ◽  
State Matrix ◽  
Numerical Design ◽  
Positive Realness ◽  
Necessary And Sufficient ◽  
Sufficient Test ◽  
Symmetric Systems

In this article, the state-space symmetric systems with symmetrical interval uncertainty that have positive real and negative imaginary properties are studied. First, a necessary and sufficient test in view of a state matrix is derived for a state-space symmetric system to be negative imaginary, which allows having poles at the origin. Second, bounds on symmetrical interval uncertainty that guarantee the positive realness and negative imaginariness of state-space symmetric systems are provided. Finally, the main results are illustrated by a resistor–capacitor network and a numerical design example.

Model reduction for state-space symmetric systems

1998 ◽  
Vol 34 (4) ◽  
pp. 209-215 ◽  
Author(s):  
W.Q. Liu ◽  
V. Sreeram ◽  
K.L. Teo
Keyword(s):  
Model Reduction ◽  
State Space ◽  
Symmetric Systems

scholarly journals State space realizations robust to overloading for discrete-time LTI systems

2019 ◽  
Vol 156 ◽  
pp. 12-20 ◽  
Author(s):  
Shuichi Ohno ◽  
Yuichi Yoshimura
Keyword(s):  
State Space ◽  
Discrete Time

Criteria for the non-ergodicity of stochastic processes: application to the exponential back-off protocol

1987 ◽  
Vol 24 (02) ◽  
pp. 347-354 ◽  
Author(s):  
Guy Fayolle ◽  
Rudolph Iasnogorodski
Keyword(s):  
Stochastic Process ◽  
Markov Chain ◽  
Stochastic Processes ◽  
State Space ◽  
Discrete Time ◽  
Random Variables ◽  
Countable State Space ◽  
Countable State ◽  
New Criteria

In this paper, we present some simple new criteria for the non-ergodicity of a stochastic process (Yn ), n ≧ 0 in discrete time, when either the upward or downward jumps are majorized by i.i.d. random variables. This situation is encountered in many practical situations, where the (Yn ) are functionals of some Markov chain with countable state space. An application to the exponential back-off protocol is described.

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