Necessary and Sufficient Conditions for Controllability and Observability of Switched Impulsive Control Systems

2004 ◽  
Vol 49 (6) ◽  
pp. 960-966 ◽  
Author(s):  
G. Xie ◽  
L. Wang
Keyword(s):  
Control Systems ◽  
Impulsive Control ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Impulsive Control Systems ◽  
Necessary And Sufficient ◽  
Controllability And Observability

scholarly journals Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Xuling Wang ◽  
Xiaodi Li ◽  
Gani Tr. Stamov
Keyword(s):  
Control Systems ◽  
Impulsive Control ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Stability Criteria ◽  
Numerical Examples ◽  
Infinite Delays ◽  
Impulsive Control Systems ◽  
Stable Matrix ◽  
Theoretical Results

This paper studies impulsive control systems with finite and infinite delays. Several stability criteria are established by employing the largest and smallest eigenvalue of matrix. Our sufficient conditions are less restrictive than the ones in the earlier literature. Moreover, it is shown that by using impulsive control, the delay systems can be stabilized even if it contains no stable matrix. Finally, some numerical examples are discussed to illustrate the theoretical results.

scholarly journals Lyapunov Characterization for the Stability of Stochastic Control Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Fakhreddin Abedi ◽  
Wah June Leong ◽  
Mohammad Abedi
Keyword(s):  
Control Systems ◽  
Stochastic Control ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
The Stability ◽  
Necessary And Sufficient

Lyapunov-like characterization for the problem of input-to-state stability in the probability of nonautonomous stochastic control systems is established. We extend the well-known Artstein-Sontag theorem to derive the necessary and sufficient conditions for the input-to-state stabilization of stochastic control systems. Illustrating example is provided.

The Controllability of Switched Linear Fractional Control Systems

2013 ◽  
Vol 278-280 ◽  
pp. 1635-1638
Author(s):  
Mao Jun Bin ◽  
Yi Liang Liu
Keyword(s):  
Control Systems ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Controllability Of Systems ◽  
Fractional Control ◽  
Necessary And Sufficient

This paper is concerned with the controllability of switched linear fractional control systems, and the solutions of expression, necessary and sufficient conditions for the controllability of systems are given later.

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