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One general principle of the theory of symmetric linear system is that a control problem can be solved by means of a generic controller if and only if it can be solved with a controller that preserves the symmetry properties of the system. In this paper, we specialize this general principle to the case of the distributed control of interconnected systems. Namely, we show that this class of systems...
We study a class of controlled linear systems characterized by a property of spatio-temporal symmetry. We study its stabilizability and detectability properties. We present a design technique to locally stabilize spatio-temporally symmetric orbits of equivariant systems, that has applications in the control of identical interconnected systems. As an example, we present the stabilization of a formation...
In the behavioral framework for continuous-time linear scalar systems, simple sufficient conditions for the solution of the minimum-time rest-to-rest feedforward constrained control problem are provided. The investigation of the time-optimal input–output pair reveals that the input or the output saturates on the assigned constraints at all times except for a set of zero measure. The resulting optimal...
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