Existence of open-loop equilibria in differential games with impulsive effects suffered by logic choice

Xue, Yuting; Sun, Jitao; Zhang, Yu

doi:10.1016/j.sysconle.2024.105729

Systems & Control Letters

2024

DOI: 10.1016/j.sysconle.2024.105729

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Existence of open-loop equilibria in differential games with impulsive effects suffered by logic choice

Yuting Xue,

Jitao Sun,

Yu Zhang

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2024

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Cited by 3 publications

References 25 publications

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Tracking control for a class of fully actuated systems on manifolds with impulsive effects

Huang,

Sun

2024

Intl J Robust & Nonlinear

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In this paper, the tracking control problem of the fully actuated rigid body system defined on the matrix Lie groups with impulsive effects is considered. By embedding the impulsive control systems defined on manifolds into Euclidean space via a feedback integrator, we obtain sufficient conditions for the invariance and attractivity of the manifolds. Then the embedding technique is applied to the fully actuated rigid body system with impulsive effects. The study of such a system with impulsive effects can be divided into impulsive disturbance problems and impulsive control problems, both of which are addressed in this paper. In the presence of impulsive disturbances, we realize the tracking target by the Lyapunov functions as well as the generalized Barbalat's Lemma. For the impulsive control problem, a controller containing impulsive input is designed for tracking control based on the high‐order fully actuated system approach. Finally, several examples demonstrate the effectiveness of the results presented in this paper.

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Tracking control for a class of fully actuated systems on manifolds with impulsive effects

Huang,

Sun

2024

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

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Hybrid stabilization of nonlinear systems based on a fully actuated system approach

Huang,

Yu,

Zhang

et al. 2024

Journal of the Franklin Institute

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Finite-time stability and stabilization of discrete-time hybrid systems

Wang,

Lu,

Zhao

et al. 2024

Systems & Control Letters

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Existence of open-loop equilibria in differential games with impulsive effects suffered by logic choice

Cited by 3 publications

References 25 publications

Tracking control for a class of fully actuated systems on manifolds with impulsive effects

Tracking control for a class of fully actuated systems on manifolds with impulsive effects

Hybrid stabilization of nonlinear systems based on a fully actuated system approach

Finite-time stability and stabilization of discrete-time hybrid systems

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