Controllability of Linear Dynamical Systems Under Input Sparsity Constraints
Controllability of Linear Dynamical Systems Under Input Sparsity Constraints
In this work, we consider the controllability of a discrete-time linear dynamical system with sparse control inputs. Sparsity constraints on the input arises naturally in networked systems, where activating each input variable adds to the cost of control. We derive algebraic necessary and sufficient conditions for ensuring controllability of a …