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- Galina A. Kurina
- CDC-ECE
- 2011

We study the linear-quadratic optimal control problem with the state equation consisting of two sequentially acting descriptor systems. Matching conditions for trajectories at the switch point are absent. However, the minimized functional depends on values of a state trajectory at the left and right sides of the switch point. State trajectories have… (More)

- Galina A. Kurina, Roswitha März
- SIAM J. Control and Optimization
- 2004

- Galina A. Kurina, Roswitha März
- SIAM J. Control and Optimization
- 2007

An optimal feedback control has been obtained for linear-quadratic optimal control problems with constraints described by differential-algebraic equations. For that purpose, a new implicit Riccati equation (Riccati differential algebraic system) is provided, and its solvability is investigated. It is shown that one can do without those strong consistency… (More)

The work deals with linear-quadratic optimal control problems with constant coefficients when the state equation is unresolved with respect to the derivative. In the first two problems, the performance index is the sum of the integral of a quadratic form with respect to the control and quadratic forms with respect to the differences between the output… (More)

- Galina A. Kurina
- 2003

There are many works devoted to the study of optimal control problems for systems with the state equation which is not solvable with respect to the derivative (Lewis, 1986; Mehrmann, 1991; Kurina, 1992). In the scientific literature, such systems are called descriptor, singular, implicit or differential-algebraic systems. Causality plays an important role… (More)

- Galina A. Kurina, Nguyen Thi Hoai
- Applied Mathematics and Computation
- 2017

- Galina A. Kurina, Nguyen Thi Hoai
- Applied Mathematics and Computation
- 2014

- Galina A. Kurina
- HPSC
- 2012

- Galina A. Kurina, Elena V. Smirnova
- CDC
- 2008

The asymptotic expansion of the solution of a linear-quadratic optimal control problem for a descriptor system with intermediate points and a small parameter in a performance index has been constructed as series of nonnegative integer powers of a small parameter. The estimates have been obtained for the proximity of the asymptotic approximate solutions to… (More)

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