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The dynamic controller design problem for systems with delay in the state and control variables is studied. The main attention is paid to the practical implementation of the controllers. We show that the closed-loop system remains exponentially stable if the integral terms are approximated by...
The method of realization of input–output operators in the form of abstract discrete-time control systems and the frequency-domain method are used for the stability/instability analysis of a class of nonlinear Volterra functional equations. To this end, we construct an associated time-invariant...
We consider stability and bifurcation on a finite time interval in a thermoviscoelastoplastic contact problem posed in the form of a variational system depending on a parameter. To describe stability and bifurcation, the latter being understood as stability loss on a finite time interval, we use...
We consider the method of determining observations for obtaining an upper bound for the fractal dimension and the Hausdorff dimension of invariant sets of variational inequalities. We suggest a process for constructing determining observations, in particular, for dissipativity, with the use of...
In 1975, the “method of transition into space of derivatives” was proposed. It is an efficiently verifiable frequency criterion for the existence of a nontrivial periodic solution in multidimensional models of automatic control systems with one differentiable nonlinear term. The method used the...
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