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Piecewise quadratic functions for finite-time stability analysis

2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012
In 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, 2022
Yixuan Yuan, Junsheng Zhao, Zong-yao Sun
semanticscholar   +1 more source

New Lyapunov conditions of stochastic finite-time stability and instability of nonlinear time-varying SDEs

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
semanticscholar   +1 more source

Almost Global Finite-Time Stability of Invariant Sets

2018 IEEE Conference on Decision and Control (CDC), 2018
A 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
openaire   +3 more sources

Annular finite-time stability analysis and synthesis of stochastic linear time-varying systems

International Journal of Control, 2019
In 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
semanticscholar   +1 more source

New results on finite-time stability of fractional-order neural networks with time-varying delay

Neural computing & applications (Print), 2021
N. T. Thanh, P. Niamsup, V. Phat
semanticscholar   +1 more source

Robust Finite-Time Stabilization

2022
Wenhai Qi, Guangdeng Zong
openaire   +1 more source

Geometric homogeneity with applications to finite-time stability

Math. Control. Signals Syst., 2005
S. Bhat, D. Bernstein
semanticscholar   +1 more source

An Overview of Finite-Time Stability

2006
Finite-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
openaire   +1 more source

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