Speciality:
01.01.09 (Discrete mathematics and mathematical cybernetics)
Birth date:
8.11.1941
E-mail: Keywords: optimal control; controllability; boundary-value problems of optimal control; immersion principle; automatic control system; dynamic systems whith cylindrical phase space.
Subject:
Have been elaborated constructive methods for solution of the optimal control task with fixed and unfixed trajectory ends for processes described with ordinary differential and integro-differential equations provided phase and integral restrictions and control value restrictions. Have been elaborated a constructive theory of classical boundary-value problems that comprises two-point boundary-value problem, the theory of periodic solutions and the own values task. Has been elaborated the general absolute stability theory for regulated systems. Has been elaborated the global asymptotic stability theory for dynamic systems with cylindrical phase space. Has been formulated and solved the controllability problem for processes described with ordinary differential and integro-differential equations with respect to phase and integral restrictions on the system dynamics and restrictions on the control values.
Main publications:
Aisagaliev S. A. Upravlyaemost nekotoroi sistemy differentsialnykh uravnenii // Differentsialnye uravneniya, 1991, t. 27, # 9, s. 1476–1486.
Aisagaliev S. A., Aisagalieva S. S. Konstruktivnyi metod resheniya zadachi upravlyaemosti dlya obyknovennykh differentsialnykh uravnenii // Differentsialnye uravneniya, 1993, t. 29, # 4, s. 555–567.
Aisagaliev S. A. K teorii absolyutnoi ustoichivosti reguliruemykh sistem // Differentsialnye uravneniya, 1994, t. 30, # 5, s. 748–757.
Aisagaliev S. A. Optimalnoe upravlenie lineinymi sistemami s zakreplennymi kontsami traektorii i ogranichennym upravleniem // Differentsialnye uravneniya, 1994, t. 30, # 5, s. 748–757.
Aisagaliev S. A., Aipanov Sh. A. K teorii globalnoi asimptoticheskoi ustoichivosti fazovykh sistem // Differentsialnye uravneniya, 1999, t. 35, # 8, s. 1–7.
