most citedA Note on Overshoot Estimation in Pole Placements

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math.OC2022

Remarks on Different Notions on Output Stability for Nonlinear Delay Systems

Hasala Gallolu Kankanamalage, Yuandan Lin, Yuan Wang

Motivated by the regulator theory and adaptive controls, several notions on output stability in the framework of input-to-state stability (iss) were introduced for finite-dimension…

math.OC2022

The ISS framework for time-delay systems: a survey

Antoine Chaillet, Iasson Karafyllis, Pierdomenico Pepe +1

At the occasion of Eduardo D. Sontag's 70 th birthday, we provide here an overview of the tools available to study input-to-state stability (ISS) and related notions for time-delay…

math.OC2022

Growth conditions for global exponential stability and exp-ISS of time-delay systems under point-wise dissipation

Iasson Karafyllis, Pierdomenico Pepe, Yuan Wang +1

For time-delay systems, it is known that global asymptotic stability is guaranteed by the existence of a Lyapunov-Krasovskii functional that dissipates in a point-wise manner along…

math.OC2022

Is Global Asymptotic Stability Necessarily Uniform for Time-Delay Systems?

Iasson Karafyllis, Pierdomenico Pepe, Antoine Chaillet +1

For time-invariant finite-dimensional systems, it is known that global asymptotic stability (GAS) is equivalent to uniform global asymptotic stability (UGAS), in which the decay ra…

math.OC2005★ 1 cited

A Note on Overshoot Estimation in Pole Placements

D. Cheng, L. Guo, Y. Lin +1

In this note we show that for any given controllable pair (A,B) and any c> 1, a gain matrix K can be chosen so that the transition matrix of the system x' = (A+BK)x decays at the e…