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Stability of Infinitely Many Interconnected Systems by Dashkovskiy, Sergey; Mironchenko, Andrii; Schmid, Jochen; Wirth, Fabian is a Engineering article available to read on EtoBox.

What is Stability of Infinitely Many Interconnected Systems about?

In this paper we consider countable couplings of finite-dimensional input-to-state stable systems. We consider the whole interconnection as an infinite-dimensional system on the ∞ state space. We develop stability conditions of the small-gain type to guarantee that the whole system remains ISS and highlight the differences between finite and infinite couplings by means of examples. We show that using our methodology it is possible to study uniform global asymptotic stability of nonlinear spatially invariant systems by solving a finite number of nonlinear algebraic inequalities.

Who reads Stability of Infinitely Many Interconnected Systems?

Author

Dashkovskiy, Sergey; Mironchenko, Andrii; Schmid, Jochen; Wirth, Fabian

Publisher

Elsevier ; IFAC Secretariat; Kidlington: Elsevier Ltd; Elsevier BV (ISSN 2405-8963)

Published

2019

Language

EN

Field

Engineering (Physical Sciences)