An LMI Condition for Asymptotic Stability of Discrete-Time System Based on Quadratic Difference Forms

2006 ◽  
Author(s):  
Chiaki Kojima ◽  
Kiyotsugu Takaba
Keyword(s):  
Asymptotic Stability ◽  
Discrete Time ◽  
Discrete Time System ◽  
Time System

scholarly journals Stability of Stochastic Discrete-Time Neural Networks with Discrete Delays and the Leakage Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Liyuan Hou ◽  
Hong Zhu
Keyword(s):  
Neural Networks ◽  
Asymptotic Stability ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Leakage Delay ◽  
Time Varying ◽  
Discrete Time System ◽  
Time System ◽  
Discrete Delays ◽  
The Stability

This paper investigates the stability of stochastic discrete-time neural networks (NNs) with discrete time-varying delays and leakage delay. As the partition of time-varying and leakage delay is brought in the discrete-time system, we construct a novel Lyapunov-Krasovskii function based on stability theory. Furthermore sufficient conditions are derived to guarantee the global asymptotic stability of the equilibrium point. Numerical example is given to demonstrate the effectiveness of the proposed method and the applicability of the proposed method.

Nonlinear Compensation and Stochastic Control

1988 ◽  
Vol 110 (4) ◽  
pp. 430-433 ◽  
Author(s):  
M. J. Grimble
Keyword(s):  
Asymptotic Stability ◽  
Stochastic Control ◽  
Discrete Time ◽  
Nonlinear Characteristic ◽  
Compensation Scheme ◽  
Discrete Time System ◽  
Time System ◽  
Control Approach ◽  
Lqg Control ◽  
Nonlinear Compensation

The usual ARMAX linear model for a discrete-time system is generalized to include a nonlinear characteristic. A nonlinear compensation scheme is proposed which enables a modified LQG control approach to be applied to the precompensated system. The solution is relatively simple and if the plant matches the modelled situation asymptotic stability is guaranteed.

Simple sufficient conditions for asymptotic stability of positive linear systems for any switchings

2013 ◽  
Vol 61 (2) ◽  
pp. 343-347 ◽  
Author(s):  
T. Kaczorek
Keyword(s):  
Asymptotic Stability ◽  
Linear Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
Sufficient Conditions ◽  
Asymptotically Stable ◽  
Discrete Time System ◽  
Time System ◽  
Switched Linear Systems ◽  
Time Linear

Abstract The asymptotic stability of positive switched linear systems for any switchings is addressed. Simple sufficient conditions for the asymptotic stability of positive switched continuous-time and discrete-time linear systems are established. It is shown that the positive switched continuous-time (discrete-time) system is asymptotically stable for any switchings if the sum of entries of every column of the matrices of subsystems is negative (less than 1)

A New Method for Discrete-Time System Reduction

1988 ◽  
Author(s):  
Ioannis S. Apostolakis ◽  
John Diamessis ◽  
David Jordan
Keyword(s):  
Discrete Time ◽  
New Method ◽  
Discrete Time System ◽  
Time System ◽  
System Reduction

On a Discrete-Time System Expressed in the Euler Operator

1988 ◽  
Author(s):  
Noriyuki Hori ◽  
Peter N. Nikiforuk ◽  
Kimio Kanai
Keyword(s):  
Discrete Time ◽  
Discrete Time System ◽  
Time System ◽  
Euler Operator
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