Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach
By Guisheng Zhai, Bo Hu, K. Yasuda, Anthony N. Michel. Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
773 citations recorded by the source corpus.
Subfields: Control and Systems Engineering, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/3db3766fe3ebb939e2ce4b6a27920b2df4bfecef
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Citations in the corpus
- PIECEWISE LYAPUNOV FUNCTIONS FOR SWITCHED SYSTEMS WITH AVERAGE DWELL TIME (2000, methodology): “However, for switched systems, common Lyapunov functions only exist in a few situations [8, 9]. Instead of single Lyapunov functions, the use of piecewise Lyapunov functions (or multiple Lyapunov functions) has been proposed recently [10]-[ 14 ].”
- Stability of neutral stochastic switched time delay systems: An average dwell time approach (2017, positive): “In [29], the dwell time approach is developed further for analyzing the stability of switched systems with both stable subsystems and unstable subsystems.”
- Stability of switched systems with time delay (2007, background): “Stability analysis of switched systems with stable and unstable subsystems is driven in [26,27].”
- gain analysis for switched systems with continuous-time and discrete-time subsystems (2005, methodology): “Parallel with the discussion in Zhai et al. (2001a), we study in this paper the L2 gain property for switched systems which are composed of both continuous-time LTI subsystems and discrete-time LTI subsystems.”
- Stability, ${l}_{2}$ -Gain and Asynchronous ${H}_{{\infty}}$ Control of Discrete-Time Switched Systems With Average Dwell Time (2009, background): “A recent extension considering partial subsystems to be Hurwitz unstable (the corresponding system energy is increasing) is given in [16] for linear cases in continuous-time context.”
- Analysis and design of switched normal systems (2006, methodology): “Compared with the existing result in [26], where switched systems including both stable and unstable subsystems were also dealt with, there is no requirement on average dwell time as regards any single subsystem.”
- New Results on Stability of Slowly Switched Systems: A Multiple Discontinuous Lyapunov Function Approach (2017, methodology): “On the basis of a piecewise Lyapunov function, stability properties of switched systems comprising unstable subsystems have been revealed in [22]; enabling the energy of multiple Lyapunov functions to increase during the running time of a subsystem, asynchronously switched control problem for a clas”
- Input-to-State Stabilizing Control Under Denial-of-Service (2015, neutral): “The analysis taken here is reminiscent of stability problems for switching systems [15], a modeling tool which has already proved effective in networked systems [16]–[18].”
- Robust Finite-Time Control of Switched Linear Systems and Application to a Class of Servomechanism Systems (2015, background): “To mention a few, the LAS of switched systems with stable and unstable subsystems under a specific switching law with a constraint on the running time of unstable and stable subsystems has been addressed, see [15] for linear systems and [16] for nonlinear cases.”
- Stabilization of switched continuous-time systems with all modes unstable via dwell time switching (2014, background): “…stays in stable modes sufficiently long, when it is extended to the case containing unstable systems, the activation time of unstable modes naturally needs to be small enough to avoid overly producing increment of the Lyapunov function, e.g. Xiang and Xiao (2012) and Zhai et al. (2000, 2001, 2002).”