This paper presents an entirely new constructive global analysis methodology for a class of
hybrid systems known as piecewise linear systems (PLS). This methodology infers global …

A history of two fundamental results of the mathematical system theory—the Kalman-Popov-
Yakubovich lemma and the theorem of losslessness of the S-procedure—was presented …

In their celebrated 1968 paper on nonlinear stability, Zames and Falb determined a class of
multipliers that preserve positivity of monotone SISO nonlinearities. They conjectured that …

This paper presents a new approach to deriving stability conditions for continuous-time
linear systems interconnected with a saturation. The method presented can be extended to …

Reset controllers are linear controllers that reset some of their states to zero when their
inputs reach a threshold. We are interested in their feedback connection with linear plants …

Очерк истории леммы Калмана--Попова--Якубовича и $S$-процедуры Page 1 ü í ½½
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A class of nonlinear systems described by a discrete-time state-equation containing a
repeated scalar nonlinearity is considered. This paper sharpens several previous results on …

We consider the class of discrete-time nonlinear/uncertain systems described by the
feedback connection of a linear time-invariant system and a “troublesome component,” ie …

This paper considers robust stability and robust performance analysis for discrete‐time
linear systems subject to nonlinear uncertainty. The uncertainty set is described by …

This paper considers quadratic surface Lyapunov functions in the study of global stability
analysis of on/off systems (OFS), including those OFS with unstable nonlinearity sectors. In …