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Guardian Maps and the Generalized Stability of Parametrized Families of Matrices and Polynomials
The generalized stability of families of real matrices and polynomials is considered. (Generalized stability is meant in the usual sense of confinementof matrix eigenvalues or polynomial zeros to a prespecified domain in ...
Closed-Loop Monitoring Systems for Detecting Incipient Instability
Monitoring systems are proposed for the detection of incipientinstability in uncertain nonlinear systems. The work employsgeneric features associated with the response to noise inputsof systems bordering on instability. ...
On Participation Factors for Linear Systems
Participation factors are nondimensional scalars that measure the interaction betweenthe modes and the state variables of a linear system. Since their introduction byVerghese, P'erez-Arriaga and Schweppe, participationfactors ...
Stationary Bifurcation Control for Systems with Uncontrollable Linearization
Stationary bifurcation control is studied under the assumption thatthe critical zero eigenvalue is uncontrollable for thelinearized system. The development facilitates explicit constructionof feedback control laws that ...