{"product_id":"applied-interval-analysis-reliable-global-solutions-for-estimation","title":"Applied Interval Analysis - Reliable Global Solutions for Estimation","description":"\u003cp\u003eIn this review of Applied Interval Analysis the authors present a rigorous treatment of interval methods aimed at engineers and researchers who need guaranteed, global results rather than local numerical approximations. The book's core strength is its focus on obtaining guaranteed approximations of solution sets for equations, inequalities and optimization problems, so it is valuable for anyone tackling parameter and state estimation, robust control or robotics where overlooked global solutions can be critical.\u003c\/p\u003e\u003ch2\u003eKey Features\u003c\/h2\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eGuaranteed solution bounds:\u003c\/strong\u003e Explains how \u003cstrong\u003einterval analysis\u003c\/strong\u003e produces reliable approximations of all actual solutions instead of only local candidates, reducing risk in critical engineering tasks.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eApplications-driven examples:\u003c\/strong\u003e Demonstrates techniques with concrete examples in \u003cstrong\u003eparameter and state estimation\u003c\/strong\u003e so readers can map methods to real problems in control and robotics.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eRobust control focus:\u003c\/strong\u003e Shows how interval approaches contribute to \u003cstrong\u003erobust control\u003c\/strong\u003e by accounting for uncertainties that conventional numerical methods might miss.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eOptimization coverage:\u003c\/strong\u003e Covers interval methods for cost function minimization under nonconvex conditions, offering ways to detect global minimizers that standard solvers may overlook.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eInterdisciplinary authorship:\u003c\/strong\u003e Draws on combined expertise in control, estimation and numerical methods to present balanced theory and practice.\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch2\u003eWho It's For\u003c\/h2\u003e\u003cp\u003eApplied Interval Analysis is best for graduate students, control engineers, robotics researchers and applied mathematicians who need rigorous tools to guarantee solution sets when solving nonlinear equations, inequalities and optimization problems. The book assumes a level of mathematical maturity and an interest in methods that provide global guarantees rather than heuristic results.\u003c\/p\u003e\u003cp\u003ePractitioners seeking a quick how-to for basic numerical tasks or those working exclusively with linear, convex problems may find the material more detailed than required and should consider more introductory numerical-analysis texts first.\u003c\/p\u003e\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eProvides clear exposition of how \u003cstrong\u003einterval analysis\u003c\/strong\u003e yields guaranteed approximations, which is crucial for safety- and reliability-critical systems.\u003c\/li\u003e\n\u003cli\u003eOffers practical examples in \u003cstrong\u003eparameter and state estimation\u003c\/strong\u003e and robotics that connect theory to application.\u003c\/li\u003e\n\u003cli\u003eAddresses optimization and nonconvex problems with techniques to identify global minimizers that conventional methods miss.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\u003cli\u003eThe presentation is technical and intended for readers with a solid mathematical background, so it is less suitable for beginners.\u003c\/li\u003e\u003c\/ul\u003e\u003ch2\u003eSpecifications\u003c\/h2\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eApplied Interval Analysis: With Examples in Parameter and State Estimation, Robust Control and Robotics\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthors\u003c\/td\u003e\n\u003ctd\u003eLuc Jaulin, Michel Kieffer, Olivier Didrit, Eric Walter\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eMain focus\u003c\/td\u003e\n\u003ctd\u003eInterval analysis for equations, inequalities and optimization\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eApplications\u003c\/td\u003e\n\u003ctd\u003eParameter and state estimation, robust control, robotics\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eApproach\u003c\/td\u003e\n\u003ctd\u003eGuaranteed approximations of solution sets using interval techniques\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eIntended audience\u003c\/td\u003e\n\u003ctd\u003eEngineers, researchers, advanced students in control and robotics\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\u003ch2\u003eOur Verdict\u003c\/h2\u003e\u003cp\u003eApplied Interval Analysis is a strong, application-oriented treatment that will repay readers who need mathematically rigorous, globally guaranteed results. It is particularly good value for control and robotics professionals who must ensure no feasible solutions are missed, though readers seeking introductory numerical methods may find it dense.\u003c\/p\u003e\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003eDoes this book cover practical examples?\u003c\/strong\u003e\u003cbr\u003eYes. It includes examples specifically in parameter and state estimation, robust control and robotics to illustrate interval techniques.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eIs prior knowledge required?\u003c\/strong\u003e\u003cbr\u003eThe book assumes mathematical maturity and familiarity with numerical methods; it is aimed at advanced students and practitioners.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWhat is the main advantage of interval analysis here?\u003c\/strong\u003e\u003cbr\u003eThe key advantage is obtaining guaranteed approximations of all actual solutions rather than only local numerical results, improving reliability in critical applications.\u003c\/p\u003e","brand":"Luc Jaulin, Michel Kieffer, Olivier Didrit, Eric Walter","offers":[{"title":"Default Title","offer_id":48177528439003,"sku":"1447110676","price":91.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/71J_-aCsrqL._SL1276.jpg?v=1769602761","url":"https:\/\/gearmusthave.com\/products\/applied-interval-analysis-reliable-global-solutions-for-estimation","provider":"GearMustHave","version":"1.0","type":"link"}