Stabilization analysis of the switched discrete-time systems using Lyapunov stability theorem and genetic algorithm

2009 ◽  
Vol 42 (2) ◽  
pp. 751-759 ◽  
Author(s):  
Juing-Shian Chiou ◽  
Chun-Ming Cheng
Keyword(s):  
Genetic Algorithm ◽  
Lyapunov Stability ◽  
Discrete Time ◽  
Stability Theorem ◽  
Lyapunov Stability Theorem ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals Stabilization Analysis for the Switched Large-Scale Discrete-Time Systems via the State-Driven Switching

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Chi-Jo Wang ◽  
Juing-Shian Chiou
Keyword(s):  
Lyapunov Stability ◽  
Discrete Time ◽  
Large Scale ◽  
Stability Theorem ◽  
Lyapunov Stability Theorem ◽  
Discrete Time System ◽  
Time System ◽  
Discrete Time Systems ◽  
Switching Method ◽  
Time Systems

A criterion of stabilization for the switched large-scale discrete-time system is deduced by employing state-driven switching method and the Lyapunov stability theorem. This particular method especially can be applied to cases when all individual subsystems are unstable.

scholarly journals W-Stability of Multistable Nonlinear Discrete-Time Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Zhishuai Ding ◽  
Guifang Cheng ◽  
Xiaowu Mu
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Systems ◽  
Discrete Time ◽  
Discrete Dynamical Systems ◽  
Stability Theorem ◽  
Lyapunov Stability Theorem ◽  
Converse Theorem ◽  
Discrete Time Systems ◽  
New Type ◽  
Time Systems

Motivated by the importance and application of discrete dynamical systems, this paper presents a new Lyapunov characterization which is an extension of conventional Lyapunov characterization for multistable discrete-time nonlinear systems. Based on a new type stability notion ofW-stability introduced by D. Efimov, the estimates of solution and the Lyapunov stability theorem and converse theorem are proposed for multi-stable discrete-time nonlinear systems.

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