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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 ...

This paper presents a new fundamental approach to modal participation analysis of linear time-invariant systems, leading to new insights and new formulas for modal participation factors. Modal participation factors were ...

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 ...

We adopt the optimization framework for rate allocation problem proposed by Kelly and characterize the stability condition with an arbitrary communication delay in the case of single resource. We demonstrate the existence ...

A combination of theoretical and computational nonlinear analysis techniques are used to study the scenario of bifurcations responsible for the initiation of rotating stall in an axial flow compressor model. It is found ...

Local bifurcation control problems are defined and employed in the study of the local feedback stabilization problem for nonlinear systems in critical cases. Sufficient conditions are obtained for the local stabilizability ...