Abstract: This paper derives a novel approach to prove contraction of nonlinear dynamical systems, based on the use of non-Euclidean norms and their associated matrix measures. A graphical procedure is developed to derive conditions for a system to be contracting. Such conditions can also be used to design control strategies to make a system contracting, or to design consensus and synchronization strategies for networks of nonlinear oscillators. After presenting the main steps of the approach and its proof, both for continuous-time and discrete-time systems, we illustrate the theoretical derivations on a set of representative examples.
A graphical approach to prove contraction of nonlinear circuits and systems / G., Russo; DI BERNARDO, Mario; J. J. E., Slotine. - In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS. I, REGULAR PAPERS. - ISSN 1549-8328. - 58:2(2011), pp. 336-348. [10.1109/TCSI.2010.2071810]
A graphical approach to prove contraction of nonlinear circuits and systems
DI BERNARDO, MARIO;
2011
Abstract
Abstract: This paper derives a novel approach to prove contraction of nonlinear dynamical systems, based on the use of non-Euclidean norms and their associated matrix measures. A graphical procedure is developed to derive conditions for a system to be contracting. Such conditions can also be used to design control strategies to make a system contracting, or to design consensus and synchronization strategies for networks of nonlinear oscillators. After presenting the main steps of the approach and its proof, both for continuous-time and discrete-time systems, we illustrate the theoretical derivations on a set of representative examples.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
