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.