Input-Output Finite-Time Stability of Linear Systems: Necessary and Sufficient Conditions

• Published in: IEEE transactions on automatic control Vol. 57; no. 12; pp. 3051 - 3063
• Main Authors: Amato, F., Carannante, G., De Tommasi, G., Pironti, A.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.12.2012; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Computer science; control theory; systems; Control system analysis; Control system synthesis; Control theory. Systems; Differential linear matrix inequality (DLMI); differential Lyapunov Equation (DLE); Earthquakes; Equations; Exact sciences and technology; input-output finite-time stability (IO-FTS); Intervals; Linear matrix inequalities; Linear systems; LMI; Mathematical analysis; Mathematical models; Modelling and identification; Numerical stability; Output feedback; reachability Gramian; Stability; Stability analysis; Stabilization; Studies; System theory; Theorems; time-varying systems; time-varying systems; Input-output stability; Input signal; differential Lyapunov Equation (DLE); Necessary and sufficient condition; Differential equation; Feedback regulation; L2 approximation; reachability Gramian; Input output controller; Linear control; Optimization; Differential inequality; Time varying system; Maximum velocity; Earthquakes; Linear matrix inequality; Time interval; Transient response; Existence theorem; input-output finite-time stability (IO-FTS); Differential linear matrix inequality (DLMI); LMI; linear systems; Lyapunov equation; Reachability; Output feedback; Lyapunov function

In the recent paper "Input-output finite-time stabilization of linear systems," (F. Amato ) a sufficient condition for input-output finite-time stability (IO-FTS), when the inputs of the system are L 2 signals, has been provided; such condition requires the existence of a feasible solution...