Reachability and observability indices of a discrete-time periodic descriptor system

DOI10.1016/S0096-3003(03)00649-0zbMath1050.93005OpenAlexW2073649350MaRDI QIDQ1826992

Elena Sánchez, Màrius J. Fullana, Carmen Coll

Publication date: 6 August 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00649-0

zbMATH Keywords

Transfer matrixCoprime decompositionPeriodic descriptor systemsReachability and observability indicesReachability and observability properties

Mathematics Subject Classification ID

Controllability (93B05) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Observability (93B07) Attainable sets, reachability (93B03)

Related Items (9)

Perturbation analysis for the periodic generalized coupled Sylvester equation ⋮ Reachability indices of periodic positive systems via positive shift-similarity ⋮ An iterative algorithm for generalized Hamiltonian solution of a class of generalized coupled Sylvester-conjugate matrix equations ⋮ On minimal realizations and minimal partial realizations of linear time-invariant systems subject to point incommensurate delays ⋮ The rank of a sequence as an indicator of chaos in discrete nonlinear dynamical systems ⋮ Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations ⋮ Solving the general coupled and the periodic coupled matrix equations via the extended QMRCGSTAB algorithms ⋮ Developing CGNE algorithm for the periodic discrete-time generalized coupled Sylvester matrix equations ⋮ A first cubic upper bound on the local reachability index for some positive 2-D systems

Cites Work

• Geometric characterization of `complete controllability indices' for singular systems
• Fundamental theorem of state feedback for singular systems
• Fast projection methods for minimal design problems in linear system theory
• Singular control systems
• Some invariants of discrete-time descriptor systems.
• Doubly coprime decompositions of a collection of rational matrices
• Finite zero structure of linear periodic discrete-time systems
• Periodic coprime matrix fraction decompositions

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