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This paper is concerned with cooperative stabilization for LTI homogeneous multi-agent dynamical systems. We first formulate the cooperative stabilization problem by constant output feedback and show that it can be reduced to a stabilization problem with complex gain feedback. We then present several classes of systems in which the system is cooperatively stabilizable if and only if it can be stabilized...
In this note we consider the problem of determining necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a pair of stable linear time-invariant systems whose system matrices are of the form A, A-ghT, and where one of the matrices is singular. We then apply this result in a study of a feedback system with a saturating actuator.
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