§16§This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. §16§n to show how the problem of boundary stabilization of systems of two balance laws by both full-state and dynamic output feedback in observer-controller form is solved by using a "backstepping" method, in which the gains of the feedback laws are solutions of an associated system of linear hyperbolic PDEs. §04§Hyperbolic Systems of Balance Laws.- Systems of Two Linear Conservation Laws.- Systems of Linear Conservation Laws.- Systems of Nonlinear Conservation Laws.- Systems of Linear Balance Laws.- Quasi-Linear Hyperbolic Systems.- Backstepping Control.- Case Study: Control of Navigable Rivers.- Appendices.- References.- §13§"A remarkable strong point of the whole book is the inclusion of many illustrative and relevant examples altogether making a convincing case for the direct applicability of the analytic Findings to a number of concrete models. In consequence, this graduate level text should be of interest to advanced students and researchers in applied mathematics and various branches of engineering with a focus on control and stabilization." (Rainer Picard, Mathematical Reviews, May, 2017)
