{"title":"Pnlde Subseries In Control","description":"\u003cp\u003eDive into the gripping 'In Control' subseries within the Pnlde collection, where suspense meets cutting-edge technology. Perfect for fans of high-stakes thrillers and near-future narratives. Start your adventure now!\u003c\/p\u003e","products":[{"product_id":"control-problems-for-conservation-laws-with-traffic-applications-book-alexandre-bayen-9783030930172","title":"Control Problems for Conservation Laws with Traffic Applications","description":"Introduction.- Boundary Control.- Decentralized Control.- Distributed Control.- Lagrangian Control.- Hamilton-Jacobi Equations.- Appendix A: Balance Laws with Boundary.- Conservation Laws on Networks.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49742227013905,"sku":"NGR9783030930172","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52151787684113,"sku":"NLS9783030930172","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3030930173.jpg?v=1751063559"},{"product_id":"dynamics-and-stability-of-continuous-time-switched-linear-systems-book-yacine-chitour-9783031829819","title":"Dynamics and Stability of Continuous-Time Switched Linear Systems","description":"Linear switched systems are a fascinating field of research, with many theoretical questions arising from applications which require sophisticated mathematical tools for their resolution. This monograph presents a unified theoretical approach for the analysis of stability of continuous-time linear switched systems, organizing and optimizing results scattered throughout literature. Emphasis is placed on the development of a rigorous and complete mathematical theory.    In addition to fundamental tools such as common Lyapunov functions, converse Lyapunov theorems, and maximal Lyapunov exponents, the concept of Barabanov norm is also discussed.  While this is now well understood from a theoretical point of view, it has not received much attention in more application-focused settings, likely because this fundamental object was developed in the context of arbitrary switches but has no immediate equivalent for classes of switching signals subject to various constraints (dwell time, persistent excitation, etc.). One of the aims of this text is to bridge this gap as far as possible by explaining how the main features of Barabanov norms can be generalized for classes of constrained switchings. Throughout the text, the authors maintain a general point of view, rather than treating classes of switching signals separately, by developing an axiomatic approach and identifying structural properties of these classes that allow crucial aspects of the Barabanov norm to be extended.     This monograph will be a valuable resource for mathematicians and control engineers interested in continuous-time switched linear systems, as well as a definitive reference for more experienced researchers.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51728241492241,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":51728241885457,"sku":"NGR9783031829819","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3031829816.jpg?v=1751030986"},{"product_id":"stability-and-boundary-stabilization-of-1-d-hyperbolic-systems-book-georges-bastin-9783319811857","title":"Stability and Boundary Stabilization of 1-D Hyperbolic Systems","description":"This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations.  It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them.  With these examples, it also illustrates how control boundary conditions may be defined for the most commonly used control devices. The authors begin with the simple case of systems of two linear conservation laws and then consider the stability of systems under more general boundary conditions that may be differential, nonlinear, or switching.  They then extend their discussion to the case of nonlinear conservation laws and demonstrate the use of Lyapunov functions in this type of analysis.  Systems of balance laws are considered next, starting with the linear variety before they move on to more general cases of nonlinear ones.  They go on 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.  The final chapter presents a case study on the control of navigable rivers to emphasize the main technological features that may occur in real live applications of boundary feedback control. Stability and Boundary Stabilization of 1-D Hyperbolic Systems will be of interest to graduate students and researchers in applied mathematics and control engineering.  The wide range of applications it discusses will help it to have as broad an appeal within these groups as possible.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52121668223249,"sku":"NLS9783319811857","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319811857.jpg?v=1757433420"},{"product_id":"elliptic-carleman-estimates-and-applications-to-stabilization-and-controllabilit-book-gilles-lebeau-9783030886691","title":"Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II","description":"Introduction.- Part 1: General Boundary Conditions.- Lopatinskii-Sapiro Boundary Conditions.- Fredholm Properties of Second-Order Elliptic Operators.- Selfadjoint Operators under General Boundary Conditions.- Part 2: Carleman Estimates on Riemannian Manifolds.- Estimates on Riemannian Manifolds for Dirichlet Boundary Conditions.- Pseudo-Differential Operators on a Half-Space.- Sobolev Norms with a Large Parameter on a Manifold.- Estimates for General Boundary Conditions.- Part 3: Applications.- Quantified Unique Continuation on a Riemannian Manifold.- Stabilization of Waves under Neumann Boundary Damping.- Spectral Inequality for General Boundary Conditions and Applications.- Part 4: Further Aspects of Carleman Estimates.- Carleman Estimates with Source Terms of Weaker Regularity.- Optimal Estimates at the Boundary.- Background Material: Geometry.- Elements of Differential Geometry.- Integration and Differential Operators on Manifolds.- Elements of Riemannian Geometry.- Sobolev Spaces and Laplace Problems on a Riemannian Manifold.- Bibliography.- Index.- Index of Notation.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52151149068561,"sku":"NLS9783030886691","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030886691.jpg?v=1757612357"},{"product_id":"on-modern-approaches-of-hamilton-jacobi-equations-and-control-problems-with-disc-book-guy-barles-9783031493737","title":"On Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities","description":"This monograph presents the most recent developments in the study of Hamilton-Jacobi Equations and control problems with discontinuities, mainly from the viewpoint of partial differential equations. Two main cases are investigated in detail: the case of codimension 1 discontinuities and the stratified case in which the discontinuities can be of any codimensions. In both, connections with deterministic control problems are carefully studied, and numerous examples and applications are illustrated throughout the text. After an initial section that provides a “toolbox” containing key results which will be used throughout the text, Parts II and III completely describe several recently introduced approaches to treat problems involving either codimension 1 discontinuities or networks. The remaining sections are concerned with stratified problems either in the whole space R^N or in bounded or unbounded domains with state-constraints. In particular, the use of stratified solutions to treat problems with boundary conditions, where both the boundary may be non-smooth and the data may present discontinuities, is developed. Many applications to concrete problems are explored throughout the text – such as Kolmogorov-Petrovsky-Piskunov (KPP) type problems, large deviations, level-sets approach, large time behavior, and homogenization – and several key open problems are presented. This monograph will be of interest to graduate students and researchers working in deterministic control problems and Hamilton-Jacobi Equations, network problems, or scalar conservation laws.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":52153176850705,"sku":"NGR9783031493737","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783031493737.jpg?v=1757619184"},{"product_id":"elliptic-carleman-estimates-and-applications-to-stabilization-and-controllabilit-book-gilles-lebeau-9783030886738","title":"Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I","description":"This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52406803071249,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52406803661073,"sku":"NLS9783030886738","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030886738.jpg?v=1758770412"},{"product_id":"boundary-synchronization-for-hyperbolic-systems-book-tatsien-li-9783030328481","title":"Boundary Synchronization for Hyperbolic Systems","description":"Within this carefully presented monograph, the authors extend the universal phenomenon of synchronization from finite-dimensional dynamical systems of ordinary differential equations (ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs).","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52452330766609,"sku":"NLS9783030328481","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53037306642705,"sku":"NIN9783030328481","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030328481.jpg?v=1759364395"},{"product_id":"controllability-and-stabilization-of-parabolic-equations-book-viorel-barbu-9783030095505","title":"Controllability and Stabilization of Parabolic Equations","description":"This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems. Starting from foundational questions on Carleman inequalities for linear parabolic equations, the author addresses the controllability of parabolic equations on a variety of domains and the spectral decomposition technique for representing them. This method is, in fact, designed for use in a wider class of parabolic systems that include the heat and diffusion equations. Later chapters develop another process that employs stabilizing feedback controllers with a finite number of unstable modes, with special attention given to its use in the boundary stabilization of Navier–Stokes equations for the motion of viscous fluid. In turn, these applied methods are used to explore related topics like the exact controllability of stochastic parabolic equations with linear multiplicative noise.  Intended for graduate students and researchers working on control problems involving nonlinear differential equations, Controllability and Stabilization of Parabolic Equations is the distillation of years of lectures and research. With a minimum of preliminaries, the book leaps into its applications for control theory with both concrete examples and accessible solutions to problems in stabilization and controllability that are still areas of current research.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52588136694033,"sku":"NLS9783030095505","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030095505.jpg?v=1761057595"},{"product_id":"dual-variational-approach-to-nonlinear-diffusion-equations-book-gabriela-marinoschi-9783031245824","title":"Dual Variational Approach to Nonlinear Diffusion Equations","description":"This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. The author demonstrates how this method can be utilized as a convenient tool for proving the existence of these solutions when others may fail, such as in cases of evolution equations with nonautonomous operators, with low regular data, or with singular diffusion coefficients. By reducing it to a minimization problem, the original problem is transformed into an optimal control problem with a linear state equation. This procedure simplifies the proof of the existence of minimizers and, in particular, the determination of the first-order conditions of optimality. The dual variational formulation is illustrated in the text with specific diffusion equations that have general nonlinearities provided by potentials having various stronger or weaker properties. These equations can represent mathematical modelsto various real-world physical processes. Inverse problems and optimal control problems are also considered, as this technique is useful in their treatment as well.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52671111364881,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52671111921937,"sku":"NLS9783031245824","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783031245824.jpg?v=1762291469"},{"product_id":"elliptic-carleman-estimates-and-applications-to-stabilization-and-controllabilit-book-jrme-le-rousseau-9783030886769","title":"Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I","description":"This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52671687885073,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52671688671505,"sku":"NLS9783030886769","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030886769.jpg?v=1762292954"}],"url":"https:\/\/www.worldofbooks.com\/en-ie\/collections\/pnlde-subseries-in-control-book-series.oembed","provider":"World of Books ","version":"1.0","type":"link"}