Minimum realization for controllability/observability of switched linear systems

In this work, we address the minimum realization problem for controllability of both continuous-time switched linear systems and reversible discrete-time switched linear systems. For both classes of n-dimensional switched linear systems, we show that n(n+1) 2 - 1 switches are the tight upper bound for controllability switching realization. The minimum realization problem for observability is also addressed by means of the duality principle.(c) 2023 Elsevier Ltd. All rights reserved.

Automated summary

In this work, we address the minimum realization problem for controllability and observability of both continuous-time and discrete-time switched linear systems, and provide results for the tight upper bound.