Solvability and stability of switched discrete-time linear singular systems under Lipschitz perturbations

Thuan, Do Duc; Thu, Ninh Thi

doi:10.1080/10236198.2024.2336478

Journal of Difference Equations and Applications

2024

DOI: 10.1080/10236198.2024.2336478

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Solvability and stability of switched discrete-time linear singular systems under Lipschitz perturbations

Do Duc Thuan,

Ninh Thi Thu

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2024

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Controllability of switched oscillatory systems and its applications to multiagent systems

Long,

2024

Asian Journal of Control

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In this paper, we consider the controllability and minimum energy control problem of the switched oscillatory system. Firstly, we present the solution of the system by constructing some new nested matrix functions and establish the Gramian‐type and Kalman‐type criteria for the controllability of the system. Secondly, we derive another controllability criterion based on controllable subspace of the system. Thirdly, the optimal control to minimize the quadratic performance index of the system is presented. Lastly, the theories that we establish are applied to the controllability problem of the second‐order multiagent systems under consensus protocol and switching topologies.

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Controllability of switched oscillatory systems and its applications to multiagent systems

Long,

2024

Asian Journal of Control

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Solvability and stability of switched discrete-time linear singular systems under Lipschitz perturbations

Cited by 1 publication

References 24 publications

Controllability of switched oscillatory systems and its applications to multiagent systems

Controllability of switched oscillatory systems and its applications to multiagent systems

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