On the strong stabilization of slowly time-varying linear systems

DOI10.1016/j.sysconle.2011.09.007zbMath1250.93100OpenAlexW2039114324MaRDI QIDQ450708

Avraham Feintuch

Publication date: 14 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.09.007

zbMATH Keywords

stabilizationstable rankcausalitytime-varying linear systemslimit operators\(H^{\infty}\)-controlslowly oscillating

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) (H^infty)-control (93B36) Linear systems in control theory (93C05) Algebraic methods (93B25)

Related Items (8)

On the topological stable rank of a noncommutative version of the disc algebra ⋮ Discussion on: ``The reliable stabilization problem for discrete time-varying linear systems ⋮ <scp>QC</scp> Characterizations for the Closed‐loop Stability of Time‐varying Linear Systems ⋮ Stability analysis of time-varying discrete stochastic systems with multiplicative noise and state delays ⋮ Robust synchronisation tracking control of networked Euler–Lagrange systems using reference trajectory estimation based on virtual double-integrators ⋮ The design of suboptimal asymptotic stabilising controllers for nonlinear slowly varying systems ⋮ Transitivity in simultaneous stabilization for a family of time-varying systems ⋮ Robust consensus tracking of second-order nonlinear systems using relative position information by K-filter and disturbance observer based control

Cites Work

• On strong stabilization of asymptotically time-invariant linear time-varying systems
• Stable ranks of Banach algebras of operator-valued analytic functions
• The stable rank of the algebra \(H^ \infty\) equals 1
• Robust control theory in Hilbert space
• Limit operators and their applications in operator theory
• Invertible completions of operator matrices
• On the topological stable rank of non-selfadjoint operator algebras
• On strong stabilization for linear time-varying systems
• Asymptotic Toeplitz Operators
• Some applications of Fejer’s theorem to operator cosine functions in Banach spaces
• On a General Structure of the Stabilizing Controllers Based on Stable Range
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