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

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...

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Bibliographic Details
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
ISSN:	0018-9286, 1558-2523
Online Access:	Get full text
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