Stability testing of time delay systems
Automatica (Journal of IFAC)
Finite-dimensional approximations of unstable infinite-dimensional systems
SIAM Journal on Control and Optimization
A new method for computing delay margins for stability of linear delay systems
Systems & Control Letters
On Finite-Gain Stabilizability of Linear Systems Subject to Input Saturation
SIAM Journal on Control and Optimization
Stability of Perturbed Delay Differential Equations and Stabilization of Nonlinear Cascade Systems
SIAM Journal on Control and Optimization
Stability of Time-Delay Systems
Stability of Time-Delay Systems
SIAM Journal on Control and Optimization
Characterization of Delay-Independent Stability and Delay Interference Phenomena
SIAM Journal on Control and Optimization
Passivity and Passification for Networked Control Systems
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
International Journal of Systems Science
Time-delay systems: an overview of some recent advances and open problems
Automatica (Journal of IFAC)
Brief Filtering on nonlinear time-delay stochastic systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Stabilization of linear systems with distributed input delay and input saturation
Automatica (Journal of IFAC)
SIAM Journal on Control and Optimization
Truncated predictor feedback for linear systems with long time-varying input delays
Automatica (Journal of IFAC)
Asymptotic stabilization for feedforward systems with delayed feedbacks
Automatica (Journal of IFAC)
Stabilization of linear system with input saturation and unknown constant delays
Automatica (Journal of IFAC)
Consensus of high-order multi-agent systems with large input and communication delays
Automatica (Journal of IFAC)
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This paper studies stabilization problems for linear systems with multiple delays in the input. Two types of delays are considered. The first type of delays is constant delays, which can be arbitrarily large, while the second type is time-varying with an arbitrarily large bound. With the first type of delays, under the condition that the open loop system is absolutely controllable with all its eigenvalues on the imaginary axis, (globally) stabilizing state and output feedback laws are constructed based on the solution to a family of parametric Riccati equations, which can be obtained explicitly through the solution of a parametric linear matrix equation. With the second type of delays, under the condition that the open-loop system is absolutely controllable with all its eigenvalues on the imaginary axis being zero, (global) state and output feedback laws are explicitly constructed based on the solution to a similar family of parametric Riccati equations. When the input is also subject to magnitude saturation, it is shown that semiglobal stabilization, instead of global stabilization, can still be achieved. Numerical examples illustrate the effectiveness of the proposed approach.