O některých problémech kybernetiky
Observer-based adaptive secure control with nonlinear gain recursive sliding-mode for networked non-affine nonlinear systems under DoS attacks
We address the secure control issue of networked non-affine nonlinear systems under denial of service (DoS) attacks. As for the situation that the system information cannot be measured in specific period due to the malicious DoS attacks, we design a neural networks (NNs) state observer with switching gain to estimate internal states in real time. Considering the error and dynamic performance of each subsystem, we introduce the recursive sliding mode dynamic surface method and a nonlinear gain function...
Observers for Canonic Models of Neural Oscillators
We consider the problem of state and parameter estimation for a class of nonlinear oscillators defined as a system of coupled nonlinear ordinary differential equations. Observable variables are limited to a few components of state vector and an input signal. This class of systems describes a set of canonic models governing the dynamics of evoked potential in neural membranes, including Hodgkin-Huxley, Hindmarsh-Rose, FitzHugh-Nagumo, and Morris-Lecar...
On a class of linear delay systems often arising in practice
We study the tracking control of linear delay systems. It is based on an algebraic property named -freeness, which extends Kalman’s finite dimensional linear controllability and bears some similarity with finite dimensional nonlinear flat systems. Several examples illustrate the practical relevance of the notion.
On attaining the prescribed quality of a controlled fourth order system
On finitary linear systems
On mathematical models and the role of the mathematics in knowledge of reality
On modelling of large variable systems of higher degree by means of language systems
On network models and the symbolic solution of network equations
This paper gives an overview of the formulation and solution of network equations, with emphasis on the historical development of this area. Networks are mathematical models. The three ingredients of network descriptions are discussed. It is shown how the network equations of one-dimensional multi-port networks can be formulated and solved symbolically. If necessary, the network graph is modified so as to obtain an admittance representation for all kinds of multi-ports. N-dimensional networks are...
On robust consensus of multi-agent systems with communication delays
In this paper, two robust consensus problems are considered for a multi-agent system with various disturbances. To achieve the robust consensus, two distributed control schemes for each agent, described by a second-order differential equation, are proposed. With the help of graph theory, the robust consensus stability of the multi-agent system with communication delays is obtained for both fixed and switching interconnection topologies. The results show the leaderless consensus can be achieved with...
On some nonconventional problem of a state filtration
On some properties of dynamical systems
On the controllability of a type of large scale CNN with delays.
On the decentralized stabilization of interconnected discrete time systems
On the derivation of a state-space model of a periodic process described by recurrent equations
On the dynamics of a vaccination model with multiple transmission ways
In this paper, we present a vaccination model with multiple transmission ways and derive the control reproduction number. The stability analysis of both the disease-free and endemic equilibria is carried out, and bifurcation theory is applied to explore a variety of dynamics of this model. In addition, we present numerical simulations to verify the model predictions. Mathematical results suggest that vaccination is helpful for disease control by decreasing the control reproduction number below unity....
On the Mathematical Modelling of Microbial Growth: Some Computational Aspects
We propose a new approach to the mathematical modelling of microbial growth. Our approach differs from familiar Monod type models by considering two phases in the physiological states of the microorganisms and makes use of basic relations from enzyme kinetics. Such an approach may be useful in the modelling and control of biotechnological processes, where microorganisms are used for various biodegradation purposes and are often put under extreme inhibitory conditions. Some computational experiments are...
On the real-time emission control - case study application
On the velocity projection map for polyhedral Skorokhod problems.
On transfer function matrix of linear cascade systems