Title :
Integral quadratic constraints derived from the set-theoretic analysis of difference inclusions
Author :
Megretski, Alexandre
Author_Institution :
Dept. of Electr. Eng., MIT, Cambridge, MA, USA
Abstract :
The paper introduces a framework for translating the results of set-theoretical analysis of linear difference inclusions into integral quadratic constraints (IQC) describing the operation of multiplication by a time-varying bounded coefficient. This allows one to apply the specific results of iterative convex analysis in a much broader environment of systems with linear time-invariant uncertainty, nonlinearity, and slow parameter variation blocks
Keywords :
asymptotic stability; discrete time systems; iterative methods; large-scale systems; linear quadratic control; matrix algebra; set theory; time-varying systems; asymptotic stability; complex systems; discrete time systems; integral quadratic constraints; iterative convex analysis; linear difference inclusions; linear time-invariant uncertainty; matrix algebra; multiplication; nonlinearity; set-theory; time-varying bounded coefficient; Asymptotic stability; Constraint theory; Control theory; Integral equations; Linear matrix inequalities; Paper technology; Robust stability; Sufficient conditions; Time varying systems; Uncertainty;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.573446
