A novel approach to \(L_1\)-induced controller synthesis for positive systems with interval uncertainties

DOI10.1016/j.jfranklin.2017.02.039zbMath1364.93255OpenAlexW2593092936MaRDI QIDQ2628594

Yanyan Li

Publication date: 2 June 2017

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2017.02.039

zbMATH Keywords

linear Lyapunov functioncontroller design problemlinear programingcontroller synthesis problem\(L_1\)-induced performanceinterval positive systems

Mathematics Subject Classification ID

Linear programming (90C05) Lyapunov and storage functions (93D30) Design techniques (robust design, computer-aided design, etc.) (93B51) Synthesis problems (93B50)

Related Items (13)

A novel approach for positive edge consensus of nodal networks ⋮ \(L_p\) stabilization of positive neural networks with multiple time-varying delays ⋮ Robust stability and stabilization conditions for uncertain switched positive systems under mode‐dependent dwell‐time constraints ⋮ Finite-time contractive boundedness analysis and controller synthesis for interval positive linear systems under \(L_1\)-gain performance ⋮ An optimization approach to static output-feedback control of LTI positive systems with delayed measurements ⋮ \(\ell_1\)-induced norm and controller synthesis for positive 2D systems with multiple delays ⋮ Exponential stability analysis for singular switched positive systems under dwell-time constraints ⋮ Stability analysis and \(L_1\)-gain characterization for impulsive positive systems with time-varying delay ⋮ \(\ell_1\)-induced norm and characterisation synthesis for 2-D positive system ⋮ Positivity, exponential stability and disturbance attenuation performance for singular switched positive systems with time-varying distributed delays ⋮ Robust controlled positive delayed systems with interval parameter uncertainties: a delay uniform decomposition approach ⋮ Dwell-time conditions for exponential stability and standard \(L_1\)-gain performance of discrete-time singular switched positive systems with time-varying delays ⋮ On mixed \(\ell_1/\ell_-\) fault detection observer design for positive 2D Roesser systems: necessary and sufficient conditions

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