Almost-Sure Robust Stabilization of Randomly Switched Linear Systems With Uncontrollable Subsystems

Wang, Le Yi; Yin, George; Lin, Feng; Polis, Michael P.; Chen, Wen

doi:10.1109/tac.2023.3316993

Cited by 3 publications

(1 citation statement)

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“…3. Switched Network Systems [16][17][18]. Most emerging technologies in engineering applications are characterized by complex systems involving interconnected subsystems via either physical or information networks.…”

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A lifelong friendship and fruitful collaboration: A journey of more than 30 years with George Yin

Wang

2024

NACO

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This article highlights my lifelong friendship and collaboration with George Yin on developing new methodologies in diversified fields in control theory and their branches, as well as their engineering and medical applications. It explains the roots and motivations in initiating these problems and George's critical contributions in applying his extensive expertise in stochastic systems to bring these challenging pursuits to fruitful new frameworks and methodologies.George and I have collaborated for more than 30 years on problems in the intersection of applied mathematics and engineering. The themes of our joint work have always been motivated strongly by engineering systems, evolving with emerging technologies. They are mostly focused on theoretical aspects in control systems and their branches, aiming for new frameworks and methodologies that deal with different types of uncertainties, information, and complexity.George started his work at Wayne State University (WSU) in 1987 in the Mathematics Department, three years prior to my faculty position in the Department of Electrical Engineering of WSU in 1990. While I knew George around my PhD graduation via friends, conferences, and occasional interactions, our actual joint work started in the mid 1990s, and then it quickly became much more intensive and comprehensive. 1. Backgrounds. Our collaboration has the roots in many aspects of my lifelong pursuit of dealing with uncertainties, information, and complexity, both in theory and in applications. Some themes were initiated well before my PhD graduation, and others were due to my personal interests, and still others stemmed from the unique locations of WSU as well as my personal connections. These may be summarized in the following three background categories.1. Integration of Deterministic and Stochastic Frameworks. During the final years of my PhD program at McGill University, my supervisor, George Zames, started to think about possibility of employing both deterministic and stochastic frameworks to treat uncertainties. In the late 1980s, many people in the field of H ∞ control tried to extend the H ∞ robust control theory to the

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A lifelong friendship and fruitful collaboration: A journey of more than 30 years with George Yin

Wang

2024

NACO

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Almost Sure Stabilization of Markovian Switched Linear Systems with Uncontrollable Subsystems

Yuan,

Wang,

Yin

et al. 2024

2024 10th International Conference on Control, Decision and Information Technologies (CoDIT)

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Robust observer design in Markovian randomly switched linear systems

Yuan,

Wang

2025

NACO

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This paper studies the problem of state estimation in randomly switched linear systems whose switching processes are Markov chains (MCs) and proposes observer design that can treat unobservable subsystems. Under certain structural conditions, this paper introduces a suitable design procedure for subsystems such that the estimation errors of the entire state converge to zero almost surely. The design procedure employs only the stationary distributions of the MCs. Robustness analysis and robust design of observers are further investigated when the stochastic information contains errors. This paper extends our earlier results on almost-sure convergence under independent and identically distributed switching processes or mean-square convergence under MCs, both without stochastic information uncertainty, to robust almost-sure convergence under MCs with uncertainty. Simulation case studies are used to demonstrate the observer design methods and their main properties.

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Almost-Sure Robust Stabilization of Randomly Switched Linear Systems With Uncontrollable Subsystems

Cited by 3 publications

References 44 publications

A lifelong friendship and fruitful collaboration: A journey of more than 30 years with George Yin

A lifelong friendship and fruitful collaboration: A journey of more than 30 years with George Yin

Almost Sure Stabilization of Markovian Switched Linear Systems with Uncontrollable Subsystems

Robust observer design in Markovian randomly switched linear systems

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