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Book
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15 years 4 months ago
Linear Matrix Inequalities in System and Control Theory
This book shows that several system and control theory problems can be reduced to a few standard convex or quasiconvex optimization problems involving linear matrix inequalities (L...
Stephen Boyd, Laurent El Ghaoui, E. Feron, V. Bala...
CDC
2009
IEEE
259views Control Systems» more  CDC 2009»
13 years 9 months ago
Comparison of stability characterisations for networked control systems
— This paper presents linear matrix inequalities for stability analysis for networked control systems (NCSs) that incorporates various network phenomena: time-varying sampling in...
Laurentiu Hetel, Marieke B. G. Cloosterman, Nathan...
CDC
2008
IEEE
291views Control Systems» more  CDC 2008»
13 years 6 months ago
Structured semidefinite representation of some convex sets
Linear matrix Inequalities (LMIs) have had a major impact on control but formulating a problem as an LMI is an art. Recently there is the beginnings of a theory of which problems ...
J. William Helton, Jiawang Nie
CDC
2009
IEEE
261views Control Systems» more  CDC 2009»
13 years 9 months ago
Stability and stabilization of a class of ill-conditioned second order differential linear repetitive processes
: This paper considers differential linear repetitive processes which are a distinct class of 2D systems whose dynamics evolve over a subset of the upper right quadrant of the 2D p...
Pawel Grzegorz Dabkowski, Krzysztof Galkowski, Eri...
CDC
2010
IEEE
216views Control Systems» more  CDC 2010»
12 years 11 months ago
On infinity norms as Lyapunov functions: Alternative necessary and sufficient conditions
This paper considers the synthesis of infinity norm Lyapunov functions for discrete-time linear systems. A proper conic partition of the state-space is employed to construct a fini...
Mircea Lazar