A Frequency-Domain Criterion for the Quadratic Stability of Discrete-Time Systems with Switching between Three Linear Subsystems
Connected systems with switching between three linear discrete-time subsystems are considered, and a new frequency-domain criterion for the existence of a quadratic Lyapunov function ensuring the stability of such systems under arbitrary switching ...
A Fault Tolerance Method for Control Systems with Full or Partial Fault Decoupling
This paper considers technical systems described by nonlinear dynamic models. The fault tolerance property of such systems is ensured by introducing feedback with full or partial fault decoupling. The solution is based on separating a subsystem ...
Stabilization of a Chain of Three Integrators Subject to a Phase Constraint
The problem of stabilizing a chain of three integrators subject to a phase constraint is studied. Continuous constrained control in the form of nested sigmoids, which guarantees the fulfillment of the phase constraint, is synthesized. A Lyapunov ...
Optimal Control of Harvesting of a Distributed Renewable Resource on the Earth’s Surface
This paper is devoted to the optimal control of mixed (stationary and periodic impulse) harvesting of a renewable resource distributed on the Earth’s surface. Examples of such a resource are biological populations, including viruses, chemical ...
Synthesis of Itô Equations for a Shaping Filter with a Given Spectrum
The analytical method for the synthesis of a generator of a random process with a given spectrum in the form of a linear system of Itô’s equations is proposed. The stationarity of a random process is assumed, the spectral and corresponding ...
Quantity Conjectural Variations in Oligopoly Games under Different Demand and Cost Functions and Multilevel Leadership
This paper considers a noncooperative game of quantity competition among firms in an oligopoly market under general demand and cost functions. Each firm’s optimal response to the strategies of other firms is assessed by the magnitude and sign of ...
“Pitfalls” of Bio-Inspired Models on the Example of Ant Trails
This paper explores the problem of influencing the environment by a group of autonomous robots through the creation and use of road infrastructure. The model object is ant roads (trails). We identify the main aspects of the behavior of different ...
Optimization of the Parameters of a Model Predictive Control System for an Industrial Fractionator
The problem of parametric synthesis of a model predictive control (MPC) system by the chemical process of production of the kerosene fraction of an industrial fractionator under conditions of constraints and uncertainty is considered. The optimal ...