This concise and hugely usable textbook offers an advent to backstepping, a sublime new method of boundary keep watch over of partial differential equations (PDEs). Backstepping presents mathematical instruments for changing complicated and volatile PDE platforms into basic, strong, and bodily intuitive "target PDE platforms" which are typical to engineers and physicists.
The textual content s extensive assurance contains parabolic PDEs; hyperbolic PDEs of first and moment order; fluid, thermal, and structural structures; hold up platforms; PDEs with 3rd and fourth derivatives in house; real-valued in addition to complex-valued PDEs; stabilization in addition to movement making plans and trajectory monitoring for PDEs; and components of adaptive keep watch over for PDEs and keep watch over of nonlinear PDEs.
it really is acceptable for classes up to the mark idea and comprises homework routines and a ideas guide that's on hand from the authors upon request.
Audience: This publication is meant for either starting and complicated graduate scholars in a one-quarter or one-semester path on backstepping concepts for boundary keep an eye on of PDEs. it's also available to engineers with out past education in PDEs.
Contents: record of Figures; checklist of Tables; Preface; advent; Lyapunov balance; specific ideas to PDEs; Parabolic PDEs: Reaction-Advection-Diffusion and different Equations; Observer layout; Complex-Valued PDEs: Schrodinger and Ginzburg Landau Equations; Hyperbolic PDEs: Wave Equations; Beam Equations; First-Order Hyperbolic PDEs and hold up Equations; Kuramoto Sivashinsky, Korteweg de Vries, and different unique Equations; Navier Stokes Equations; movement making plans for PDEs; Adaptive regulate for PDEs; in the direction of Nonlinear PDEs; Appendix: Bessel capabilities; Bibliography; Index