Analiz sistem upravleniya

Kniga posvyashchena razvitiyu matematicheskogo apparata issledovaniya dinamiki upravlyaemykh sistem. Metody osnovany na kachestvennom analize nelineynykh modeley s tsel'yu ustanovleniya nalichiya i kharaktera predel'nykh rezhimov sistemy. Strogo ustanovlen fakt sushchestvovaniya statsionarnykh invariantnykh global'no ustoychivykh mnozhestv u prakticheski znachimykh modeley so mnogimi neustoychivymi polozheniyami ravnovesiya. Predlozheny metody postroeniya chislennykh algoritmov resheniya razlichnykh vychislitel'nykh zadach, vstrechayushchikhsya v zadachakh sistemnogo analiza, v tom chisle obespechivayushchie bolee tochnoe prognozirovanie dinamiki sistemy. V monografii razrabotany konstruktivnye kriterii i metody optimizatsii statsionarnykh sistem upravleniya, nablyudeniya i lineynoy stabilizatsii. Dlya lineynykh sistem, udovletvoryayushchikh uderzhivayushchim i neuderzhivayushchim svyazyam, ustanovleny releyno-impul'snye upravleniya i otvechayushchie im dvizheniya. Dlya kvazilineynykh sistem, udovletvoryayushchikh uderzhivayushchim i neuderzhivayushchim svyazyam, dokazany dostatochnye usloviya sushchestvovaniya i predlozheny iteratsionnye metody postroeniya impul'snykh upravleniy i otvechayushchikh im dvizheniy. Prednaznacheno dlya nauchnykh rabotnikov v oblasti prikladnoy matematiki i mekhaniki, a takzhe inzhenerov i dr