Finite-time stabilization and stabilizability of a class of controllable systems

By Yiguang Hong. Systems & control letters (Print), 2002

606 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/a466a711836c6a4eeb5e41b3a217464bee3837f2

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In Control and Systems Engineering

Citations in the corpus

Oscillations Conditions in Homogenous Systems (2010, background): “□ In the paper (Andrieu, et al., 2008) this definition has been introduced for 0 0λ = and 0λ = + ∞ (the function g is called homogeneous in the bi-limit if it is simultaneously ( 0r , 0 , 0g )-homogeneous and ( ∞r , +∞ , g∞ )-homogeneous), the case 0 0λ = has been also treated in (Bacciotti and Rosi”
Technical Notes and Correspondence Uniformly Observable and Globally Lipschitzian Nonlinear Systems Admit Global Finite-Time Observers (2009, background): “Now, calculating the derivative of as defined in (19) along the solution of the system (16) by noting that [ 4 ], and ( , are two positive constants), then”
Finite time stability and stabilization of a class of continuous systems (2006, background): “Indeed, for this kind of systems, finite time stability is equivalent to asymptotic stability (see [21,6] for more details).”
Stability analysis for a second-order continuous finite-time control system subject to a disturbance (2009, methodology): “A local continuous state feedback control law is given for finite-time stabilization of triangular systems in [ 1 ].”
An Overview of Recent Advances in Fixed-Time Cooperative Control of Multiagent Systems (2018, background): “Lemma 4: [30], [44] Suppose autonomous system (5) with f(t, x) = f(x) is homogeneous of degree σ with dilation (r1, r2, .”
Geometric homogeneity with applications to finite-time stability (2005, methodology): “Dilations of the form (1) were also used for finite-time stabilization using state feedback [BB3, H8 ,R4] and output feedback [HHX].”
A class of predefined-time stable dynamical systems (2018, background): “…with these time requirements (see e.g. Roxin (1966), Weiss and Infante (1967), Michel and Porter (1972), Ryan (1991), Bhat and Bernstein (2000), Hong (2002), Orlov (2005), Moulay and Perruquetti (2006) for finite-time stability, Andrieu et al. (2008), Cruz-Zavala et al. (2010), Polyakov (2012)…”
Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties (2006, background): “[ 7 ] L. Bakule, J. Rodellar, J. Rossell, and P. Rubio, “Preservation of con-”
Finite time stability conditions for non-autonomous continuous systems (2008, background): “Over the years much work has been dedicated to this concept, getting some sufficient conditions and the application to the construction of finite-time stabilization control (see for example Bhat and Bernstein (1998), Hong (2002), Hong et al. (2001, 2002), Moulay and Perruquetti (2006a)).”
Robust stabilization of MIMO systems in finite/fixed time (2016, background): “In [9] this definition was introduced for λ0 = 0 and λ0 = +∞ (the function g is called homogeneous in the bi-limit if it is simultaneously (r0,0,g0)–homogeneous and (r∞,+∞,g∞)–homogeneous), the case λ0 = 0 has been also treated in [29, 20, 12, 3].”
Finite-time stability of multi-agent system in disturbed environment (2012, background): “More recently, researchers have considered finite-time stabilization of higher-order systems [ 1 ] as well as finitetime stabilization using output feedback [2].”
Semi-global finite-time observers for nonlinear systems (2008, background): “Now, calculating the derivative of Vα(e) as defined in (18) along the solution of system (16) by noting that ddt deic αi = αi|ei|αi−1 (Hong, 2002), we can obtain d dt Vα(e)(16) = d dt Vα(e)(17) + 2ẽTS(θ) 1 r |e1| 1 r −1 f̃1 1 α1r |e2| 1 α1r −1 f̃2 ... 1 αn−1r |en| 1 αn−1r −1 f̃n”
Quasi-continuous high-order sliding-mode controllers (2005, background): “Simulation demonstrates the practical applicability of the new controller.”
Finite-Time Semistability and Consensus for Nonlinear Dynamical Networks (2008, positive): “More recently, researchers have considered finite-time stabilization of higher-order systems [10] as well as finite-time stabilization using output feedback [11].”