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Finite-Time Stability and Boundedness of Switched Systems with Finite-Time Unstable Subsystems
Circuits, Systems, and Signal Processing, 2018In this paper, problems covering finite-time stability and boundedness of switched systems with finite-time unstable subsystems are researched through the method of multi-Lyapunov function. On basis of the mode-dependent average dwell time method, the systems are required to meet the standards of remaining finite-time stable and finite-time bounded ...
Jialin Tan, Weiqun Wang, Juan Yao
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Finite-time stability of switched nonlinear systems with finite-time unstable subsystems
Journal of the Franklin Institute, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xueling Li +3 more
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Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design
SIAM Journal on Control and Optimization, 2010This paper extends the well-known concept, Sontag's input-to-state stability (ISS), to finite-time control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), is proposed and then is applied to both the analysis of finite-time stability and the design of finite-time stabilizing feedback laws of control systems.
Yiguang Hong +2 more
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Finite-Time Stability and Stabilization: State of the Art
2006International ...
Moulay, Emmanuel, Perruquetti, Wilfrid
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An Overview of Finite-Time Stability
2006Finite-time stability (FTS) is a concept that was first introduced in the 1950s. The FTS concept differs from classical stability in two important ways. First, it deals with systems whose operation is limited to a fixed finite interval of time. Second, FTS requires prescribed bounds on system variables. For systems that are known to operate only over a
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Finite time stability of homogeneous switched systems
42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004Stability analysis is developed for nonlinear nonautonomous switched systems. While being asymptotically stable and homogeneous of negative degree, these systems are shown to approach to the equilibrium point in finite time. Illustrated with second order systems, this property is additionally demonstrated to remain in force regardless of some ...
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Finite-time stability analysis and stabilization by bounded linear time-varying feedback
Automatica, 2020Bin Zhou
exaly