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Piecewise quadratic functions for finite-time stability analysis
2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012In this paper we consider the finite-time stability (FTS) problem for linear time varying systems. In most of the previous literature, the definition of FTS exploits the standard weighted quadratic norm to define the initial and trajectory domains, which, therefore, turn out to be ellipsoidal; this is consistent with the fact that quadratic Lyapunov ...
Ambrosino, R. +3 more
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Fast finite time stability of stochastic nonlinear systems
Journal of the Franklin Institute, 2022Yixuan Yuan, Junsheng Zhao, Zong-yao Sun
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International Journal of Control, 2019
In this paper, we further consider the problem of stochastic finite-time stability and instability of nonlinear stochastic differential equations (SDEs) with time-varying drift and diffusion terms.
Xin Yu, Juliang Yin, S. Khoo
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In this paper, we further consider the problem of stochastic finite-time stability and instability of nonlinear stochastic differential equations (SDEs) with time-varying drift and diffusion terms.
Xin Yu, Juliang Yin, S. Khoo
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Almost Global Finite-Time Stability of Invariant Sets
2018 IEEE Conference on Decision and Control (CDC), 2018A relation between finite-time stability and Rantzer's density function has been presented for both discrete- and continuous-time system. We show that the existence of an integrable Rantzer function (also called Lyapunov density or Lyapunov measure) implies the convergence of almost all trajectories to an invariant set in finite time.
Karabacak, Özkan +2 more
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Annular finite-time stability analysis and synthesis of stochastic linear time-varying systems
International Journal of Control, 2019In this paper, we investigate some finite-time control problems for stochastic linear time-varying systems, described by an Itô type differential equation. In particular, the annular stochastic finite-time stability control problem is dealt with. In this
G. Tartaglione +5 more
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New results on finite-time stability of fractional-order neural networks with time-varying delay
Neural computing & applications (Print), 2021N. T. Thanh, P. Niamsup, V. Phat
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Finite-time stability analysis and stabilization by bounded linear time-varying feedback
at - Automatisierungstechnik, 2020Bin Zhou
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Geometric homogeneity with applications to finite-time stability
Math. Control. Signals Syst., 2005S. Bhat, D. Bernstein
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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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