Terrell, William J.
Stability and stabilization : an introduction / William J. Terrell. - 1 online resource (xv, 457 pages) : illustrations
Includes bibliographical references and index.
Mathematical background -- Linear systems and stability -- Controllability of linear time invariant systems -- Observability and duality -- Stabilizability of LTI systems -- Detectability and duality -- Stability theory -- Cascade systems -- Center manifold theory -- Zero dynamics -- Feedback linearization of single-input nonlinear systems -- An introduction to damping control -- Passivity -- Partially linear cascade systems -- Input-to-state stability.
"Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, the book takes a unique modern approach that bridges the gap between linear and nonlinear systems." "Presenting stability and stabilization of equilibria as a core problem of mathematical control theory, the book emphasizes the subject's mathematical coherence and unity, and it introduces and develops many of the core concepts of systems and control theory. There are five chapters on linear systems and nine chapters on nonlinear systems; an introductory chapter; a mathematical background chapter; a short final chapter on further reading; and appendixes on basic analysis, ordinary differential equations, manifolds and the Frobenius theorem, and comparison functions and their use in differential equations. The introduction to linear system theory presents the full framework of basic state-space theory, providing just enough detail to prepare students for the material on nonlinear systems."--Jacket
In English.
9781400833351 1400833353 9781680159875 1680159879
10.1515/9781400833351 doi
22573/ctt18bbw52 JSTOR 9452543 IEEE
Stability.
Control theory.
Stabilit�e.
Th�eorie de la commande.
stability.
MATHEMATICS--Calculus.
MATHEMATICS--Mathematical Analysis.
MATHEMATICS--Applied.
Control theory.
Stability.
Electronic books.
Electronic books.
QA871 / .T44 2009eb
515.35
Stability and stabilization : an introduction / William J. Terrell. - 1 online resource (xv, 457 pages) : illustrations
Includes bibliographical references and index.
Mathematical background -- Linear systems and stability -- Controllability of linear time invariant systems -- Observability and duality -- Stabilizability of LTI systems -- Detectability and duality -- Stability theory -- Cascade systems -- Center manifold theory -- Zero dynamics -- Feedback linearization of single-input nonlinear systems -- An introduction to damping control -- Passivity -- Partially linear cascade systems -- Input-to-state stability.
"Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, the book takes a unique modern approach that bridges the gap between linear and nonlinear systems." "Presenting stability and stabilization of equilibria as a core problem of mathematical control theory, the book emphasizes the subject's mathematical coherence and unity, and it introduces and develops many of the core concepts of systems and control theory. There are five chapters on linear systems and nine chapters on nonlinear systems; an introductory chapter; a mathematical background chapter; a short final chapter on further reading; and appendixes on basic analysis, ordinary differential equations, manifolds and the Frobenius theorem, and comparison functions and their use in differential equations. The introduction to linear system theory presents the full framework of basic state-space theory, providing just enough detail to prepare students for the material on nonlinear systems."--Jacket
In English.
9781400833351 1400833353 9781680159875 1680159879
10.1515/9781400833351 doi
22573/ctt18bbw52 JSTOR 9452543 IEEE
Stability.
Control theory.
Stabilit�e.
Th�eorie de la commande.
stability.
MATHEMATICS--Calculus.
MATHEMATICS--Mathematical Analysis.
MATHEMATICS--Applied.
Control theory.
Stability.
Electronic books.
Electronic books.
QA871 / .T44 2009eb
515.35