Analysis and control of a class of uncertain linear periodic discrete-time systems

DOI10.1007/S10483-009-0408-YzbMath1396.93099OpenAlexW2041632339MaRDI QIDQ1030373

Kai Sun, Guang-Ming Xie

Publication date: 1 July 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0408-y

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55)

Cites Work

• Robust \(\mathcal H_2\) performance analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs
• Stabilizability and detectability of linear periodic systems
• Discrete-time linear periodic systems: A note on the reachability and controllability interval length
• A stabilization algorithm for a class of uncertain linear systems
• Linear periodically time-varying discrete-time systems: Aliasing and LTI approximations
• Inertia theorems for the periodic Lyapunov difference equation and periodic Riccati difference equation
• A canonical decomposition of linear periodic discrete-time systems
• Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
• Eigenvalue assignment in linear periodic discrete-time systems†
• H/sub infinity / state estimation for linear periodic systems
• Pole-placement problem for discrete-time linear periodic systems

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