Switched linear systems have a long history in the control literature but-along with hybrid systems more generally-they have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked a co-ordinating framework to focus them effectively on some of the fundamental issues such as the problems of robust stabilizing switching design, feedback stabilization and optimal switching.

This deficiency is resolved by Switched Linear Systems which features:

a [ nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results;

a [ theoretical exploration and logical association of several independent but pivotal concerns in control design as they pertain to switched linear systems: controllability and observability, feedback stabilization, optimization and periodic switching;

a [ a reliable foundation for further theoretical research as well as design guidance for real life engineering applications through the integration of novel ideas, fresh insights and rigorous results.

Primarily intended for researchers and engineers in the systems and control community, postgraduate students will also discover that this is perfect complementary reading especially for those studying intelligent, adaptive or robust control.

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."

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."

Switched linear systems have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked a co-ordinating framework to focus them effectively on some of the fundamental issues such as the problems of robust stabilizing switching design, feedback stabilization and optimal switching.

This deficiency is resolved by this book which features: nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results; theoretical exploration and logical association of several independent but pivotal concerns in control design as they pertain to switched linear systems: controllability and observability, feedback stabilization, optimization and periodic switching; a reliable foundation for further theoretical research as well as design guidance for real life engineering applications through the integration of novel ideas, fresh insights and rigorous results.