Estimate of the asymptotic stability region in thermal reactors with discrete control systems

1970 ◽  
Vol 28 (2) ◽  
pp. 181-183
Author(s):  
O. B. Ronzhin
Keyword(s):  
Asymptotic Stability ◽  
Control Systems ◽  
Stability Region ◽  
Discrete Control ◽  
Asymptotic Stability Region

scholarly journals Stability investigation of quadratic systems with delay

2000 ◽  
Vol 13 (1) ◽  
pp. 85-92 ◽  
Author(s):  
Vladimir Davydov ◽  
Denis Khusainov
Keyword(s):  
Asymptotic Stability ◽  
Quadratic Form ◽  
Stability Region ◽  
Zero Solution ◽  
Stability Conditions ◽  
Quadratic Systems ◽  
Systems Of Differential Equations ◽  
Asymptotic Stability Region ◽  
Lyapunov’S Second Method ◽  
Form Stability

Systems of differential equations with quadratic right-hand sides with delay are considered in the paper. Compact matrix notation form is proposed for the systems of such type. Stability investigations are performed by Lyapunov's second method with functions of quadratic form. Stability conditions of quadratic systems with delay, uniformly by argument deviation, and with delay depending on the system's parameters are derived. A guaranteed radius of the ball of asymptotic stability region for zero solution is obtained.

scholarly journals Stability Properties of a Discretized Neutral Delay Differential Equation

2013 ◽  
Vol 54 (1) ◽  
pp. 83-92 ◽  
Author(s):  
Jana Hrabalová
Keyword(s):  
Differential Equation ◽  
Asymptotic Stability ◽  
Delay Differential Equation ◽  
Stability Region ◽  
Sufficient Conditions ◽  
Neutral Delay ◽  
Neutral Delay Differential Equation ◽  
Asymptotic Stability Region ◽  
Delay Differential ◽  
Necessary And Sufficient

Abstract The paper discusses the asymptotic stability region of a discretization of a linear neutral delay differential equation x′(t) = ax(t - τ) + bx'(t - τ). We present necessary and sufficient conditions specifying this region and describe some of its properties.

scholarly journals Asymptotic Stability Region of Slotted Aloha

2012 ◽  
Vol 58 (9) ◽  
pp. 5841-5855 ◽  
Author(s):  
Charles Bordenave ◽  
David McDonald ◽  
Alexandre Proutiere
Keyword(s):  
Asymptotic Stability ◽  
Stability Region ◽  
Slotted Aloha ◽  
Asymptotic Stability Region
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