Title :
Weak L2-stability
Author_Institution :
Inst. for Electr. Control Eng., Tech. Univ. Wien, Austria
fDate :
7/1/1995 12:00:00 AM
Abstract :
Systems including integrators and sectors with lower bound zero are not tractable by L2-stability because the norm of the system output y(t) will usually grow to infinity. This paper outlines a notion of stability (Lpw-stability) that not only allows predictions concerning this special class of systems but represents a general weakening of the notion of Lp-stability. An example demonstrates the applicability of the concept
Keywords :
optimal control; stability; Lp-stability; Lpw-stability; integrators; lower bound zero; weak L2-stability; Control systems; Control theory; Convergence; Feedback; Nonlinear systems; Probability; Queueing analysis; Stability analysis; Stability criteria; Statistical analysis;
Journal_Title :
Automatic Control, IEEE Transactions on