Improved stability results for discrete-time switched systems: a multiple piecewise convex Lyapunov function approach
From MaRDI portal
Publication:2010722
DOI10.1016/j.amc.2019.01.065zbMath1428.39026OpenAlexW2915348436WikidataQ128391346 ScholiaQ128391346MaRDI QIDQ2010722
Tao Zhang, Ticao Jiao, Ruihua Wang, Shu-Min Fei
Publication date: 27 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.01.065
exponential stabilityswitched systemsmode-dependent average dwell timemultiple convex Lyapunov functionmultiple piecewise convex Lyapunov function
Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Stability theory for difference equations (39A30) Applications of difference equations (39A60)
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Cites Work
- New stability and stabilization results for discrete-time switched systems
- Stabilization of switched continuous-time systems with all modes unstable via dwell time switching
- Stability theory of switched dynamical systems
- A novel Lyapunov function for a non-weighted \(\mathcal{L}_2\) gain of asynchronously switched linear systems
- Asynchronously switched control of switched linear systems with average dwell time
- A new discrete-time robust stability condition
- Quantized \(\mathcal{H}_\infty\) filtering for switched linear parameter-varying systems with sojourn probabilities and unreliable communication channels
- Switching Stabilization for a Class of Slowly Switched Systems
- Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
- Stabilization of Positive Switched Linear Systems and Its Application in Consensus of Multiagent Systems
- Dwell time based stabilisability criteria for discrete-time switched systems
- Stability and stabilization of continuous‐time switched systems: A multiple discontinuous convex Lyapunov function approach
- Slow State Variables Feedback Stabilization for Semi-Markov Jump Systems With Singular Perturbations
- Dynamic Output Feedback Control of Switched Linear Systems
- Stability, ${l}_{2}$-Gain and Asynchronous ${H}_{{\infty}}$ Control of Discrete-Time Switched Systems With Average Dwell Time
- Finite‐time H ∞ control for discrete‐time switched nonlinear systems with time delay
- Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time
