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**Moment stability of the critical case of PWM feedback systems with stochastic perturbations.**
*(English)*
Zbl 1255.93151

Summary: This paper further studies the moment stability of Pulse-Width-Modulated (PWM) feedback system which is subjected to multiplicative and additive random disturbance modeled by the derivative of Wiener process. Different from the existing investigation, we focus on its critical case. The linear plant considered herein is assumed to be critically stable; that is, the plant has one and only one pole at the origin, and the rest of the poles are left half of complex plane. We establish several globally asymptotic stability criteria for such PWM feedback systems and then propose an algorithm to calculate the stability bound effectively. Furthermore, we present two numerical examples to show the effectiveness of the theoretical results.

### MSC:

93E15 | Stochastic stability in control theory |

60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |

93D20 | Asymptotic stability in control theory |

93B52 | Feedback control |

### Keywords:

moment stability; pulse-width-modulated (PWM) feedback systems with stochastic perturbations; Wiener process; globally asymptotic stability criteria
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\textit{Z. Zhang} and \textit{L. Ye}, Abstr. Appl. Anal. 2012, Article ID 736408, 19 p. (2012; Zbl 1255.93151)

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### References:

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