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Issues of stability of the Tethered Satellite System (TSS) during station-keeping, deployment and retrieval are considered. The basic nonlinear equations of motion of the TSS are derived using the system Lagrangian. Using ...

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 ...

A square matrix F is said to be D-stable if the eigenvalues of DF have negative real parts for any diagonal matrix D with positive diagonal elements. The perturbational properties of D-stability and block D-stability, a ...

Time-scale separation and stability of linear time-varying and time-invariant multiparameter singular perturbation problems are analyzed. The first problem considered in the paper is that of deriving upper bounds on the ...

Stability of linear systems with several very small as well as several very large parasitic parameters is analyzed. Time-scale separation is used in conjunction with the recently introduced notion of strong D-stability to ...

The controllability of a general linear time-invariant multiparameter singularly perturbed system is studied with no a priori assumptions on the relative magnitudes of the small parameters. It is shown how Kokotovic and ...

After deriving a set of dynamic equations governing the dynamics of a Tethered Satellite System (TSS), stabilizing tension control laws in feedback form are derived. The tether is assumed rigid and massless, and the equations ...

Local feedback stabilization and bifurcation control of nonlinear aystems are studied for the case in which the critical linearized system possesses a simple zero eigenvalue. Sufficient conditions are obtained for local ...

A new upper bound is obtained for the singular perturbation parameter of an asymptotically stable singularly perturbed system. General time invariant systems with a single small parameter are considered. The paper employs ...

Contingent on the existence of certain affine maps, necessary and sufficient conditions for the eigenvalues of all matrices belonging to the convex hull of two given matrices to lie in a subset of the complex plane are ...