✦ LIBER ✦

Uniform stability and ISS of discrete-time impulsive hybrid systems

✍ Scribed by Bin Liu; David J. Hill

Publisher: Elsevier
Year: 2010
Tongue: English
Weight: 449 KB
Volume: 4
Category: Article
ISSN: 1751-570X
DOI: 10.1016/j.nahs.2009.05.002

No coin nor oath required. For personal study only.

✦ Synopsis

This paper studies the uniform stability and ISS (input-to-state stability) properties for DIHS (discrete-time impulsive hybrid systems) via comparison approach. By employing the vector-value function, the comparison principle is established for DIHS with external inputs. Then the comparison principle is used to establish the uniform stability and ISS criteria for DIHS, respectively. Moreover, regions in which the uniform stability and ISS properties can be guaranteed are estimated. As applications, the comparison principle and the results of uniform stability and ISS are used to study the robustly globally uniformly exponential stability for uncertain DIHS and exponential ISS of DIHS. It is shown that impulses contribute to stability and ISS properties for a discrete-time system which has no such properties. Two examples with numerical simulations are worked out for illustration.

📜 SIMILAR VOLUMES

Uniform asymptotic stability of impulsiv

Uniform asymptotic stability of impulsive discrete systems with time delay

✍ Xinzhi Liu; Zhigang Zhang 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 263 KB

This paper studies impulsive discrete systems with time delay. Some novel criteria on uniform asymptotic stability are established by using the method of Lyapunov functions and the Razumikhin-type technique. Examples are presented to illustrate the criteria.

Input-to-state stability of impulsive an

Input-to-state stability of impulsive and switching hybrid systems with time-delay

✍ Jun Liu; Xinzhi Liu; Wei-Chau Xie 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 840 KB

This paper investigates input-to-state stability (ISS) and integral input-to-state stability (iISS) of impulsive and switching hybrid systems with time-delay, using the method of multiple Lyapunov-Krasovskii functionals. It is shown that, even if all the subsystems governing the continuous dynamics,

New comparison principle and stability c

New comparison principle and stability criteria for impulsive hybrid systems on time scales

✍ Peiguang Wang; Xia Liu 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 171 KB

In this paper, we develop a new comparison principle on time scales, and give some new stability criteria for a class of impulsive hybrid systems.

Suboptimal control and stability of nonl

Suboptimal control and stability of nonlinear discrete-time systems

✍ S Hennequin; R Bouyekhf 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 134 KB

In this paper suboptimality bounds and stability of nonlinear discrete-time in"nite-horizon controllers are investigated. The nominal plant is supposed to be controlled by means of a feedback control law which is optimal with respect to some given criterion. The use of the Taylor}Maclaurin formula a

Nonnegativity, stability, and regulariza

Nonnegativity, stability, and regularization of discrete-time descriptor systems

✍ A. Herrero; A. Ramı´rez; N. Thome 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 198 KB

On the induced norms of discrete-time an

On the induced norms of discrete-time and hybrid time-varying systems

✍ Pablo A. Iglesias; Marc A. Peters 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 195 KB 👁 2 views

Characterizations for the induced norms of two types of systems are considered. It is first shown that the induced l norm of a discrete-time linear time-varying system may be characterized by the existence requirement on solutions to operator algebraic Riccati equations. A similar result is derived