Dennis S. Bernstein

TL;DR: In this paper, the authors recast Dahl, LuGre, and Maxwell-slip models as extended, generalized, or semilinear Duhem models, and classified each model as either rate independent or rate dependent.

TL;DR: Formulas are derived for the exponential of an arbitrary 2*2 matrix in terms of either its eigenvalues or entries and these results are applied to the second-order mechanical vibration equation with weak or strong damping.

TL;DR: In this article, the authors make explicit connections between classical absolute stability theory and modern mixed-μ analysis and synthesis, using the parameter-dependent Lyapunov function framework of Haddad and Bernstein and the frequency dependent off-axis circle interpretation of How and Hall.

TL;DR: In this article, the ability of the filters to acquire and track a target satellite in geosynchronous orbit as a function of the sample interval, initial uncertainty, and type of available measurements is analyzed.

TL;DR: In this paper, a feedback control design problem involving structured real-valued plant parameter uncertainties is considered, and a quadratic Lyapunov bound suggested by recent work of I.R. Petersen and C.V. Hollot (1986) is utilized in conjunction with the guaranteed cost approach of S.L. Chang and T.C. Peng (1972) to guarantee robust stability with robust performance bound.