There are plenty of challenging and interesting problems open
for investigation in the field of switched systems. Stability
issues help to generate many complex nonlinear dynamic behaviours
within switched systems. Professors Sun and Ge present a thorough
investigation of stability effects on three broad classes of
switching mechanism:
arbitrary switching where stability represents robustness to
unpredictable and undesirable perturbation;
constrained switching, including random (within a known
stochastic distribution), dwell-time (with a known minimum duration
for each subsystem) and autonomously-generated (with a pre-assigned
mechanism) switching; and
designed switching in which a measurable and freely-assigned
switching mechanism contributes to stability by acting as a control
input.
For each of these classes Stability Theory for Switched
Dynamical Systems propounds:
detailed stability analysis and/or design;
related robustness and performance issues;
connections to other well-known control problems; and
many motivating and illustrative examples.
Academic researchers and engineers interested in systems and
control will find this book of great value in dealing with all
forms of switching and it will be a useful source of complementary
reading for graduate students of nonlinear systems theory."
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