Asymptotic stability and stabilizability of special classes of discrete-time positive switched systems

DOI10.1016/j.laa.2011.08.028zbMath1258.93091OpenAlexW1987769823MaRDI QIDQ1940330

Ettore Fornasini, Valcher, Maria Elena

Publication date: 6 March 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.08.028

zbMATH Keywords

stabilizabilitycirculant matrixpositive linear systemswitched systemmonomial matrix(global uniform) asymptotic stabilitystate trajectoryswitching among autonomous subsystems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20) Positive matrices and their generalizations; cones of matrices (15B48) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (12)

Fault detection for switched positive systems under successive packet dropouts with application to the Leslie matrix model ⋮ Polytope Lyapunov functions for stable and for stabilizable LSS ⋮ Asynchronously finite-time control of discrete impulsive switched positive time-delay systems ⋮ Antinorms on cones: duality and applications ⋮ Antinorms and self-polar polyhedra ⋮ Controller synthesis for constrained discrete-time switched positive linear systems ⋮ Guaranteed cost finite-time control of positive switched nonlinear systems with \(D\)-perturbation ⋮ Adaptive event-triggered dynamic distributed control of switched positive systems with switching faults ⋮ Unnamed Item ⋮ Output feedback \(L_1\) finite-time control of switched positive delayed systems with MDADT ⋮ A novel approach to stability analysis for switched positive linear systems ⋮ Sufficient and necessary conditions for discrete-time nonlinear switched systems with uniform local exponential stability

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