{"product_id":"9781611979060","title":"Averaging of Singularly Perturbed Control Systems and LP Approach to Optimal Control","description":"\u003cp\u003eThis book provides a systematic exposition of averaging techniques for singularly perturbed control systems, with emphasis on their interplay with infinite-dimensional linear programming (LP) formulations of optimal control problems. The author   provides a comprehensive study of averaging methods for singularly perturbed control systems, including averaging over fast control-state trajectories and over the occupational measures generated by such trajectories;  establishes rigorous connections between optimal control problems with time-discounting or time-averaging criteria and infinite-dimensional linear programming problems, proves strong duality for the latter, and uses this duality to analyze and construct optimal and near-optimal controls; and  develops LP-based techniques for the analysis and construction of asymptotically near-optimal controls for singularly perturbed systems and illustrates these techniques by numerical examples.\u003c\/p\u003e","brand":"SIAM - SOCIETY FOR INDUSTRIAL AND APPLIED","offers":[{"title":"Default Title","offer_id":48208072245300,"sku":"9781611979060","price":139.0,"currency_code":"AUD","in_stock":true}],"url":"https:\/\/woodslane.com.au\/products\/9781611979060","provider":"Woodslane","version":"1.0","type":"link"}