A Direct Proof of the Discrete-Time Multivariate Circle and Tsypkin Criteria

This technical note presents a new proof of the circle criterion for multivariate, discrete-time systems with time-varying feedback nonlinearities. A new proof for the multivariate Tsypkin criterion for time-invariant monotonic feedback nonlinearities is derived as well. Both integrator- and non-int...

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Veröffentlicht in:	IEEE transactions on automatic control 2016-02, Vol.61 (2), p.544-549
Hauptverfasser:	Nygren, Johannes, Pelckmans, Kristiaan
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic stability Closed loop systems Economic models Eigenvalues and eigenfunctions MIMO model predictive control Nonlinear systems Predictive control stability Stability criteria System theory
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