Unconstrained and constrained stabilisation of bilinear discrete-time systems using polyhedral Lyapunov functions

DOI10.1080/00207179.2010.531396zbMath1205.93093OpenAlexW2105782485MaRDI QIDQ3074643

Nikolaos Athanasopoulos, Georges Bitsoris

Publication date: 10 February 2011

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/a590d441-800a-4746-aaae-d53f8dd34469

zbMATH Keywords

discrete-time bilinear systemspositively invariant setspolyhedral Lyapunov functionsinput/state constraints

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05)

Related Items (7)

On polyhedral control synthesis for dynamical discrete-time systems under uncertainties and state constraints ⋮ Analysis of Bilinear Systems with Sampled-Data State Feedback ⋮ Combined constrained robust least squares approach and block-pulse functions technique for tracking control synthesis of uncertain bilinear systems with multiple time-delayed states under bounded input control ⋮ Stability analysis of bilinear systems under aperiodic sampled-data control ⋮ Guaranteed cost control for bilinear systems by static output feedback ⋮ Positive invariance, monotonicity and comparison of nonlinear systems ⋮ Stability analysis of nonlinear quadratic systems via polyhedral Lyapunov functions

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