Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions provides helpful tools for the treatment of a broad class of dynamical systems that are governed, not only by ordinary differential equations but also by partial and functional differential equations. Existing Lyapunov constructions are extended to discontinuous systems—those with variable structure and impact—by the involvement of nonsmooth Lyapunov functions. The general theoretical presentation is illustrated by cont...

This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H**∞ approach in the nonsmooth setting. Similar to the standard nonlinear H**∞ approach, the proposed nonsmooth design guarantees both the internal asymptotic stability of a nominal closed-loop system and the dissipativity inequality, which states that the size of an error signal is uniformly bounded with respect to the worst-case size of an external disturbance signal...

This book is devoted to control of finite and infinite dimensional processes with continuous-time and discrete time control, focusing on suppression problems and new methods of adaptation applicable for systems with sliding motions only. Special mathematical methods are needed for all the listed control tasks. These methods are addressed in the initial chapters, with coverage of the definition of the multidimensional sliding modes, the derivation of the differential equations of those moti...

Ты чувствуешь себя подавленным?Тебе всё кажется синим?Кажется ли вам, что вся надежда потеряна?Вставать утром и встречаться с миром так же сложно, как восхождение на гору?Если вы или кто-то, кто вам дорог, чувствуете себя так же, возможно, вы погружены в депрессию.Если вы чувствуете, что не можете дышать, а стены сжимаются вокруг вас, возможно, вы оказались в объятиях тревоги.В этой книге — «Лечение тревоги и депрессии: простая рабочая тетрад...

This book constitutes refereed proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021. Due to the COVID-19 pandemic the conference was held online.The 31 full papers and 3 short papers presented in this volume were carefully reviewed and selected from a total of 102 submissions. The papers in the volume are organised according to the following topical headings: continuous optimi...