Pole-assignment problem for discrete-time linear periodic systems

DOI10.1080/00207178708933923zbMath0616.93033OpenAlexW2062880439MaRDI QIDQ4726122

Vicente G. Hernández, Ana M. Urbano

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708933923

zbMATH Keywords

time-dependent

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Periodic solutions to ordinary differential equations (34C25) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Pole and zero placement problems (93B55) Discrete version of topics in analysis (39A12)

Related Items (16)

Reduction of partial discrete-time linear periodic realizations ⋮ Characteristic multiplier assignment in continuous-time linear periodic systems ⋮ A stability problem for discrete-time linear periodic systems ⋮ Structural properties of discrete-time linear positive periodic systems ⋮ Periodic-polynomial interpretation for structural properties of linear periodic discrete-time systems ⋮ Control of fractional periodic discrete-time linear systems by parametric state feedback matrices ⋮ A low‐dimensional realization algorithm for periodic input/output behavioral systems ⋮ Minimal realizations for discrete-time linear periodic systems ⋮ Positive \(N\)-periodic descriptor control systems ⋮ Control of fractional periodic discrete-time linear systems by partial eigenvalue assignment of state feedback matrices ⋮ Optimal control for linear periodic systems by using multirate piecewise constant sampled state feedback ⋮ Performance limitations in the robust servomechanism problem for discrete time periodic systems ⋮ Estimation and synthesis of reachable set for discrete-time periodic systems ⋮ Pole-placement problem for discrete-time linear periodic systems ⋮ STABILIZATION OF UNSTABLE PERIODIC ORBITS OF CHAOTIC DISCRETE-TIME SYSTEMS USING PREDICTION-BASED FEEDBACK CONTROL ⋮ Reconstructibility of time-invariant and periodic behavioural systems

Cites Work

• Unnamed Item
• On the matrices \(AB\) and \(BA\)
• Discrete-time linear periodic systems: gramian and modal criteria for reachability and controllability†
• Robust control of linear time-invariant plants using periodic compensation
• Eigenvalue assignment in linear periodic discrete-time systems†
• Controllability and Pole Assignment for Discrete Time Linear Systems Defined over Arbitrary Fields
• Stability Conditions Derived from Spectral Theory: Discrete Systems with Periodic Feedback

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