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math.OC2002
Quantized control via locational optimization
Francesco Bullo, Daniel Liberzon
This paper studies state quantization schemes for feedback stabilization of control systems with limited information. The focus is on designing the least destabilizing quantizer su…
math.OC2002
Gradient algorithms for finding common Lyapunov functions
Daniel Liberzon, Roberto Tempo
This paper is concerned with the problem of finding a quadratic common Lyapunov function for a family of stable linear systems. We present gradient iteration algorithms which give…
math.OC2002
On the output-input stability property for multivariable nonlinear control systems
Daniel Liberzon
We study the recently introduced notion of output-input stability, which is a robust variant of the minimum-phase property for general smooth nonlinear control systems. The subject…