Stability results for two classes of linear time‐delay and hybrid systems

DOI10.1108/02644400410548369zbMath1111.93062OpenAlexW1977037617WikidataQ57675665 ScholiaQ57675665MaRDI QIDQ3379283

C. F. Alastruey, Manuel de la Sen

Publication date: 6 April 2006

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644400410548369

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Adaptive or robust stabilization (93D21) Stability theory of functional-differential equations (34K20) Control problems for functional-differential equations (34K35)

Related Items (6)

Parameter dependent Lyapunov functions for robust stability of time-varying linear systems under point delays ⋮ Stability criteria for linear time-invariant systems with point delays based on one-dimensional Routh-Hurwitz tests ⋮ Complete observability of differential-algebraic systems with delays ⋮ Hybrid discrete-continuous systems: I. stability and stabilizability ⋮ Robust stabilization of a class of polytopic linear time-varying continuous systems under point delays and saturating controls ⋮ Total stability properties based on fixed point theory for a class of hybrid dynamic systems

Cites Work

• Stabilization of time-delay systems using finite-dimensional compensators
• Linear systems with commensurate time delays: stability and stabilization independent of delay
• Multirate hybrid adaptive control
• A note on the modified stability table for linear discrete time systems
• On some structures of stabilizing control laws for linear and time-invariant systems with bounded point delays and unmeasurable states
• A result on the hyperstability of a class of hybrid dynamic systems
• A unified framework for hybrid control: model and optimal control theory
• New stability test algorithm for two-dimensional digital filters
• Methods for linear systems of circuit delay differential equations of neutral type
• On the robust adaptive stabilization of a class of nominally first-order hybrid systems
• Sufficient conditions for Lyapunov's global stability of time-varying hybrid linear systems

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