Title :
Further Results on Incremental Input-to-State Stability
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. London, London
fDate :
6/1/2009 12:00:00 AM
Abstract :
Incremental stability notions defined by means of comparison functions in a state-space framework are further investigated. In particular, we provide a continuous converse Lyapunov theorem for incremental integral ISS and show that the incremental integral property is at least as strong as incremental ISS.
Keywords :
Lyapunov methods; stability; state-space methods; continuous converse Lyapunov theorem; incremental input-to-state stability; incremental integral ISS; incremental integral property; incremental stability; state-space framework; Asymptotic stability; H infinity control; Linear systems; Nonlinear control systems; Signal processing; Stability analysis; Terrorism; Time measurement; Uncertainty; Lyapunov Theorem;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2015561
