Finite time stability of linear discrete descriptor systems

Debeljković, Dragutin Lj.; Koruga, Dj.; Milinković, S.A.; Jovanović, Mića; Jacic, L.A.

doi:10.1109/melcon.1998.692477

Cited by 4 publications

(1 citation statement)

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“…The finite-time observer design problem was considered recently for a class of singular systems subject to unknown inputs in both the state and the output equations in [14], where some linear matrix inequality results were given. For discrete-time linear singular systems, the finite-time stability analysis problem was first studied in [15], where the matrix norm approach was used to derive sufficient conditions for finite-time stability. The matrix inequality approach was also used to give a similar finitetime stability criterion [16].…”

Section: Introductionmentioning

confidence: 99%

Robust Finite-Time Stabilization for Uncertain Discrete-Time Linear Singular Systems

Wang

et al. 2020

IEEE Access

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This paper considers the robust finite-time stabilization problem for a class of discrete-time linear singular systems with norm-bounded parameter uncertainties. With the introduction of an additional matrix to describe the algebraic relationship between the slow subsystem and fast subsystem of a discretetime linear singular system, a matrix inequality condition is first given for a discrete-time linear singular system to be regular, causal and finite-time stable. With this condition, the robust finite-time stability and robust finite-time stabilization problems are also resolved, and the explicit expression of the desired state feedback control law is also given in terms of a set of matrix inequalities. A numerical example is given to show the effectiveness of the proposed method. INDEX TERMS uncertain linear singular system, discrete-time singular system, finite-time stability, finitetime stabilization, matrix inequality

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Section: Introductionmentioning

confidence: 99%