p-moment stabilization of inhomogeneous Markov jump linear systems with time-varying transition probabilities

Jiamin Liu; Zhao Yan Li; Feiqi Deng

doi:10.1007/s11432-025-4837-x

p-moment stabilization of inhomogeneous Markov jump linear systems with time-varying transition probabilities

Jiamin Liu
, Zhao Yan Li^*
, Feiqi Deng

^*Corresponding author for this work

School of Mathematics

Jimei University
School of Mathematics, Harbin Institute of Technology
South China University of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

This paper investigates the p-moment stability and stabilization problems of an inhomogeneous Markov jump linear system (MJLS) with time-varying and unknown transition probabilities. First, several technical lemmas are established to solve the p-moment stability/stabilization of MJLS. Then, p-moment stability is explored for even integer p and any real number p > 0, and mode-dependent state-feedback control laws are designed to ensure the p-moment stability. Finally, two illustrative examples have been provided to verify the analytical results obtained.

Original language	English
Article number	162207
Journal	Science China Information Sciences
Volume	69
Issue number	6
DOIs	https://doi.org/10.1007/s11432-025-4837-x
State	Published - Jun 2026

Keywords

inhomogeneous Markov jump
linear system
moment stability
stabilization
state feedback control

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10.1007/s11432-025-4837-x

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title = "p-moment stabilization of inhomogeneous Markov jump linear systems with time-varying transition probabilities",

abstract = "This paper investigates the p-moment stability and stabilization problems of an inhomogeneous Markov jump linear system (MJLS) with time-varying and unknown transition probabilities. First, several technical lemmas are established to solve the p-moment stability/stabilization of MJLS. Then, p-moment stability is explored for even integer p and any real number p > 0, and mode-dependent state-feedback control laws are designed to ensure the p-moment stability. Finally, two illustrative examples have been provided to verify the analytical results obtained.",

keywords = "inhomogeneous Markov jump, linear system, moment stability, stabilization, state feedback control",

author = "Jiamin Liu and Li, \{Zhao Yan\} and Feiqi Deng",

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year = "2026",

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doi = "10.1007/s11432-025-4837-x",

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T1 - p-moment stabilization of inhomogeneous Markov jump linear systems with time-varying transition probabilities

AU - Liu, Jiamin

AU - Li, Zhao Yan

AU - Deng, Feiqi

N1 - Publisher Copyright: © Science China Press 2026.

PY - 2026/6

Y1 - 2026/6

N2 - This paper investigates the p-moment stability and stabilization problems of an inhomogeneous Markov jump linear system (MJLS) with time-varying and unknown transition probabilities. First, several technical lemmas are established to solve the p-moment stability/stabilization of MJLS. Then, p-moment stability is explored for even integer p and any real number p > 0, and mode-dependent state-feedback control laws are designed to ensure the p-moment stability. Finally, two illustrative examples have been provided to verify the analytical results obtained.

AB - This paper investigates the p-moment stability and stabilization problems of an inhomogeneous Markov jump linear system (MJLS) with time-varying and unknown transition probabilities. First, several technical lemmas are established to solve the p-moment stability/stabilization of MJLS. Then, p-moment stability is explored for even integer p and any real number p > 0, and mode-dependent state-feedback control laws are designed to ensure the p-moment stability. Finally, two illustrative examples have been provided to verify the analytical results obtained.

KW - inhomogeneous Markov jump

KW - linear system

KW - moment stability

KW - stabilization

KW - state feedback control

UR - https://www.scopus.com/pages/publications/105040007224

U2 - 10.1007/s11432-025-4837-x

DO - 10.1007/s11432-025-4837-x

M3 - 文章

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SN - 1674-733X

VL - 69

JO - Science China Information Sciences

JF - Science China Information Sciences

IS - 6

M1 - 162207

ER -

p-moment stabilization of inhomogeneous Markov jump linear systems with time-varying transition probabilities

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Keywords

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