Stability analysis and controller synthesis for hybrid dynamical systems

DOI10.1098/rsta.2010.0187zbMath1211.93074OpenAlexW2149486735WikidataQ37797769 ScholiaQ37797769MaRDI QIDQ2997239

Bart De Schutter, Mircea Lazar, W. P. M. H. Heemels, Jan Lunze

Publication date: 6 May 2011

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2010.0187

zbMATH Keywords

stability analysishybrid systemscontroller designswitched systemspiecewise affine systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Dynamical systems in control (37N35) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (10)

On stability of discrete-time switched systems ⋮ SECOND-ORDER ITERATIVE METHOD FOR OPTIMAL CONTROL PROBLEMS OF MULTISTAGE PROCESSES ⋮ Stability of switched server systems with constraints on service-time and capacity of buffers ⋮ Distance function design and Lyapunov techniques for the stability of hybrid trajectories ⋮ Control problems for systems with uncertainty ⋮ Hybrid Modelling in Biology: a Classification Review ⋮ Theory of hybrid dynamical systems and its applications to biological and medical systems ⋮ Local exponential stabilization for a class of uncertain nonlinear impulsive periodic switched systems with norm-bounded input ⋮ Noise induced suppression of spiral waves in a hybrid FitzHugh–Nagumo neuron with discontinuous resetting ⋮ On the stabilization of switchable linear systems

Uses Software

• UMDES

Cites Work

• Switched controller synthesis for the quadratic stabilisation of a pair of unstable linear systems

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