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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 6.9

Generalized Lyapunov theory and its

omega-transformable regions

Sheng-Guo Wang

College of Engineering

University of North Carolina at Charlotte

Charlotte, NC 28223-0001

USA

swang@uncc.edu

1 DESCRIPTION OF THE PROBLEM

16346

16424

2 MOTIVATION AND HISTORY OF THE PROBLEM

The Lyapunov theory is well known for Hurwitz stability and Schur stability, i.e., the continuous-time system Lyapunov theory and the discrete-time system Lyapunov theory, respectively. The above generalized Lyapunov theory (GLT) takes both continuous-time system and discrete-time ...

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