Boundary control, stabilization and zero-pole dynamics for a non-linear distributed parameter system

Christopher I. Byrnes, D.S. Gilliam, V.I. Shubov

Type: Article

Publication Date: 1999-09-01

Citations: 22

DOI: https://doi.org/10.1002/(sici)1099-1239(199909)9:11<737::aid-rnc432>3.0.co;2-3

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Locations

International Journal of Robust and Nonlinear Control - View

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Action	Title	Year	Authors
+	On the use of numerical methods for analysis and control of nonlinear convective systems	2008	E.J. Allen John A. Burns D.S. Gilliam
+ PDF Chat	Numerical Approximations of the Dynamical System Generated by Burgers’ Equation with Neumann–Dirichlet Boundary Conditions	2013	E.J. Allen John A. Burns D.S. Gilliam
+	Zero dynamics boundary control for regulation of the Kuramoto–Sivashinsky equation	2010	C.I. Byrnes D.S. Gilliam C. Hu V.I. Shubov
+	The impact of finite precision arithmetic and sensitivity on the numerical solution of partial differential equations	2002	E.J. Allen John A. Burns D.S. Gilliam Joseph C. Hill V.I. Shubov
+	Control and sensitivity reduction for a viscous Burgers' equation	2012	E.J. Allen John A. Burns D.S. Gilliam
+	Set point boundary control for a nonlinear distributed parameter system	2004	C.I. Bymes D.S. Gilliam Alberto Isidori V.I. Shubov
+	Semiglobal stabilization of a boundary controlled viscous Burgers' equation	2003	C.I. Byrnes D.S. Gilliam V.I. Shubov
+	Asymptotic regulation for distributed parameter systems via zero dynamics inverse design	2011	C.I. Byrnes D.S. Gilliam C. Hu V.I. Shubov
+	A dual scale spatio‐temporal control for complex distributed parameter systems	2024	Yaru Zhao Han‐Xiong Li
+	Bifurcations and attractors for a boundary feedback controlled Burgers equation	2007	C.I. Byrnes D.S. Gilliam J. Dockery

Works Cited by This (18)

Action	Title	Year	Authors
+	A stabilization problem for Burgers’ equation with unbounded control and observation	1991	John A. Burns Sungkwon Kang
+	The Boundary Value Problems of Mathematical Physics	1985	O. A. Ladyzhenskaya
+	Initial-Boundary Value Problems and the Navier-Stokes Equations	1989	Heinz‐Otto Kreiss Jens Lorenz
+	An Introduction to Infinite-Dimensional Linear Systems Theory	1995	Ruth F. Curtain Hans Zwart
+	None	1998	Ch.I. Byrnes D.S. Gilliam V.I. Shubov
+	Nonlinear Control Systems	1989	Alberto Isidori
+	Distributed and boundarycontrol of the viscous burgers' equation	1997	Hung V. Ly Kenneth D. Mease Edriss S. Titi
+	A dynamical system generated by the Navier-Stokes equations	1975	O. A. Ladyzhenskaya
+	Computation of transmission zeros for distributed parameter systems	1981	Seppo Pohjolainen
+	Planar nonlinear systems: Practical stabilization and Hermes controllability condition	1991	J. Tsinias