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Many natural and artificial systems and processes encompass several modes of operation
with a different dynamical behavior in each mode. Switched systems provide a suitable …

In this monograph we consider the class of continuous-time positive switched systems. We
discuss several problems, including stability, performance analysis, stabilization via …

This paper deals with the optimal control of a class of positive switched systems. The main
feature of this class is that switching alters only the diagonal entries of the dynamic matrix …

We present a stability criterion for switched nonlinear systems which involves Lie brackets of
the individual vector fields but does not require that these vector fields commute. A special …

New constructive criteria of asymptotic stability of selector-linear differential inclusions are
established. The well-known absolute stability problem is also considered as a particular …

We consider the problem of absolute stability of linear feedback systems in which the control
is a sector-bounded time-varying nonlinearity. Absolute stability entails not only the …

This work is motivated by the drug therapy scheduling problem in HIV infection. Using
simplified switched linear system models of HIV mutation and treatment with certain class of …

We consider the problem of computing the root-mean-square (RMS) gain of switched linear
systems. We develop a new approach which is based on an attempt to characterize the …

We study the stability of second-order switched homogeneous systems. Using the concept of
generalized first integrals we explicitly characterize the" most destabilizing" switching-law …