Synchronization with Non-expansive Dynamics

• In Chap. 4, we have studied state synchronization for networked nonlinear dynamical systems under switching communication topologies. Sufficient conditions are established in terms of connectivity, nonlinear self-dynamics, and the network parameters. On the other hand, a stronger condition can be obtained for the case where the nonlinear agent dynamics are non-expansive dynamics, i.e., stable dynamics with a convex Lyapunov function φ(⋅). In particular, we show that several forms of joint connectivity for communication graphs are sufficient for networks to achieve global asymptotic φ-synchronization in this chapter.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

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