Nonlinear and Adaptive Control of Complex Systems

Dynamics, Information and Control in Physical Systems

“…methods of robust or adaptive control should be used. A variety of design methods have been developed both for linear and for nonlinear systems [16,17,18]. Methods of partial control and weak control are also available [11,15].…”

“…These classes of control problems belong to the area of the so called partial control which development has become active recently [15,16]. It is important that the above goals should be achieved without significant intervening the system dynamics, i.e.…”

“…In order to make a reasonable choice of the control algorithm parameters the applicability conditions should be developed and checked. A number of applicability conditions can be found in [11,16]. The main conditions are the following ones: convexity of the function ω(x, u, t) in u and existence of "ideal" control u * such that ω(x, u * , t) ≤ 0 for all x (attainability condition).…”

Horizons of cybernetical physics

“…The above heuristic arguments are transformed into rigorous statements in a number of texts, e.g. [2,18] for finite-dimensional systems, described by the ODE.…”

Stabilization of invariant sets for nonlinear non-affine systems

“…More about the speed}gradient method can be found in the recent books (Fradkov & Pogromsky, 1998;Fradkov, Miroshnik & Nikiforov, 1999).…”