Stability conditions for a class of time-varying discrete-time systems

DOI10.1016/0167-6911(85)90021-0zbMath0579.93050OpenAlexW2041601685MaRDI QIDQ1068046

Jean Chegancas, Christian Burgat

Publication date: 1985

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(85)90021-0

zbMATH Keywords

discrete-time systemsLyapunov methodsM-matricespositively invariant sets

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Hermitian, skew-Hermitian, and related matrices (15B57) Model systems in control theory (93C99)

Related Items (4)

Polyhedral cones associated to M-matrices and stability of time varying discrete time systems ⋮ Existence of nonsymmetrical stability domains for linear systems ⋮ Linear model following systems with constrained control ⋮ Existence of non-symmetrical Lyapunov functions for linear systems

Cites Work

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• A note on positively invariant cones
• Application of M-matrices to the stability problems of composite dynamical systems
• Lyapunov functions for diagonally dominant systems
• Matrices with positive principal minors
• On matrix measures and convex Liapunov functions
• A Survey onM-Matrices

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