{"product_id":"9783319499918","title":"L2-Gain and Passivity Techniques in Nonlinear Control","description":"\u003cp\u003eThis standard text gives a unified treatment of passivity and L\u003csub\u003e2\u003c\/sub\u003e-gain theory for nonlinear state space systems, preceded by a compact treatment of classical passivity and small-gain theorems for nonlinear input-output maps. The synthesis between passivity and L\u003csub\u003e2\u003c\/sub\u003e-gain theory is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this standpoint. The connection between L\u003csub\u003e2\u003c\/sub\u003e-gain and passivity via scattering is detailed.\u003c\/p\u003e\n\n\u003cp\u003eFeedback equivalence to a passive system and resulting stabilization strategies are discussed. The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasising the close relations with physical modeling and control by interconnection, and leading to novel control methodologies going beyond passivity.\u003c\/p\u003e\n\n\u003cp\u003eThe potential of L\u003csub\u003e2\u003c\/sub\u003e-gain techniques in nonlinear control, including a theory of all-pass factorizations of nonlinear systems, and of parametrization of stabilizing controllers, is demonstrated. The nonlinear H-infinity optimal control problem is also treated and the book concludes with a geometric analysis of the solution sets of Hamilton-Jacobi inequalities and their relation with Riccati inequalities for the linearization.\u003c\/p\u003e\n\n\u003cp\u003e \u003c\/p\u003e\n\n\u003cp\u003e\u003cb\u003e·\u003c\/b\u003e\u003cb\u003e    \u003c\/b\u003e     L\u003csub\u003e2\u003c\/sub\u003e-Gain and Passivity Techniques in Nonlinear Control (third edition) is thoroughly updated, revised, reorganized and expanded. Among the changes, readers will find:\u003c\/p\u003e\n\n\u003cp\u003e\u003cb\u003e·\u003c\/b\u003e\u003cb\u003e     \u003c\/b\u003e    updated and extended coverage of dissipative systems theory\u003c\/p\u003e\n\n\u003cp\u003e\u003cb\u003e·\u003c\/b\u003e\u003cb\u003e        \u003c\/b\u003e substantial new material regarding converse passivity theorems and incremental\/shifted passivity ·\u003cb\u003e     \u003c\/b\u003e    coverage of recent developments on networks of passive systems with examples\u003c\/p\u003e\n\n\u003cp\u003e\u003cb\u003e·\u003c\/b\u003e\u003cb\u003e      \u003c\/b\u003e   a completely overhauled and succinct introduction to modeling and control of port-Hamiltonian systems, followed by an exposition of port-Hamiltonian formulation of physical network dynamics\u003c\/p\u003e\n\n\u003cb\u003e·\u003c\/b\u003e         updated treatment of all-pass factorization of nonlinear systems\u003cp\u003e\u003c\/p\u003e\n\n\u003cp\u003e \u003c\/p\u003e\n\n\u003cp\u003eThe book provides graduate students and researchers in systems and control with a compact presentation of a fundamental and rapidly developing area of nonlinear control theory, illustrated by a broad range of relevant examples stemming from different application areas.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePublication Year: \u003c\/strong\u003e2017\u003cbr\u003e\u003cstrong\u003eImprint: \u003c\/strong\u003eSpringer International Publishing\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eFormat: H\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eWeight (Gram): 6328\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003c\/p\u003e","brand":"Arjan van der Schaft","offers":[{"title":"Default Title","offer_id":41246265213106,"sku":"9783319499918","price":249.59,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0502\/5382\/4178\/products\/3319499912.01_SCLZZZZZZZ.jpg?v=1635643641","url":"https:\/\/readabook.store\/products\/9783319499918","provider":"READABOOK BY ALKEM","version":"1.0","type":"link"}