Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach

By Jamal Daafouz, Pierre Riedinger, Claude Iung. IEEE Transactions on Automatic Control, 2002

1,457 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/8a5d18967505a17801e5bcee289db66508575ca2

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In Control and Systems Engineering

Citations in the corpus

Necessary and Sufficient Conditions for Analysis and Synthesis of Markov Jump Linear Systems With Incomplete Transition Descriptions (2010, background): “This leads to the so-called deterministic switched systems under arbitrary switchings (see [19], [20] for continuous-time and discrete-time case, respectively).”
Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results (2009, background): “Several classes of switching signals are considered, for example arbitrary switching [19], [25], slow switching [15], [33], restricted switching induced by partitions of state space [18], [26], [46], [76], [77] etc.”
Consensus of multi-agent systems based on sampled-data control (2009, methodology): “However, there is only a little literature on this problem, such as Fax and Murray (2004), Hong, Hu, and Gao (2006), and Ren (2008).”
Asynchronous Filtering of Discrete-Time Switched Linear Systems With Average Dwell Time (2011, methodology): “adopt the switched Lyapunov function (SLF) proposed in [11].”
Stability Analysis of Positive Switched Linear Systems With Delays (2011, background): “For simplicity, when speaking of the asymptotic stability of a switched linear system, we mean the global uniform asymptotic stability for arbitrary switching signals [32].”
Delay‐dependent exponential stability for switched delay systems (2009, methodology): “Some methods have been proposed to study switched systems such as the multiple Lyapunov functions approach [9], the piecewise Lyapunov function approach [10], the parameter-dependent Lyapunov function approach [11], the average dwell time technology [12–14], the switched quadratic Lyapunov function ”
Robust H∞ filtering for switched linear discrete‐time systems with polytopic uncertainties (2006, methodology): “As in Reference [20], we assume that the switching signal i is unknown a priori, but its instantaneous value is available in real time.”
Stabilization of controlled positive discrete‐time T‐S fuzzy systems by state feedback control (2010, background): “Proof This proof adapts the results of [13] given for switching systems and [26] for T-S fuzzy systems.”