The Institute conducts research in the following areas:

• theory and technology of control systems,
• modeling and estimation of the state of dynamic systems,
• automated vehicles and mobile robotics,
• signal processing, vision systems and advanced measurement systems,
• application of robotics in industry, transport and medicine.

Our employees have extensive experience in the field of engineering and technical sciences, supported by many completed research and development projects..

The Institute conducts research in the following areas:

• research and modeling of renewable energy sources and storage as well as strategies of their operation in an energy system,
• modern power electronics and electromechanical energy conversion systems in electromobility and renewable energy systems,
• sensors and electronic measurement systems in technical systems and biomedicine,
• analysis and synthesis of modern lighting systems, taking into account, i.e., ergonomics and safety of road users.

The Institute conducts research in the following areas:

• Theory of normed, quasi-normalized and F-normed spaces, including:
  • functional space geometry,
  • spaces of point products, multipliers and factorization of functional spaces.
• Interpolation of linear operators.
• Operators on the space of analytical functions.
• Toeplitz and Hankel operators.
• Applications of differential geometry and symmetry theory (Galois symmetries) in problems of mathematical physics.
• Differential and algebraic geometry, Hodge structures.
• Calculus of variations.
• Hypereliptic integrals and special functions.
• Deformation of autonomous systems with ordinary and magnetic potentials separable into non-autonomous integrable systems in the sense of Frobenius.
• Approximation theory in functional spaces.
• Spaces of point multipliers for pairs of functional spaces.
• Qualitative theory of difference equations (asymptotic properties of solutions, their oscillation, limitation, stability).
• Classes of differential equations (equations of the neutral type, equations with quasi-differences, Volterra equations, rational equations) and their applications, incl. in modeling in economics, biology and technology.
• Asymptotic behavior of s-numbers for general diagonal operators.
• Reliability engineering of land transport.
• Statistical analyzes concerning:
  • testing the degree and type of damage to trees in various stands (e.g. pine) during thinning after the harvester's operation (e.g. Komatsu 931.1 Harvester),
  • soil research, the effect of various organic fertilization on quantitative changes in nutrients in soils and plants, toxicity tests (heavy metals).
• Multivariate statistical modeling with particular emphasis on covariance structures.
• Optimality of experimental designs in models with confounding effects.
• Experimental and computational studies of the dynamics of pendulums.
• Analysis of inverse problems of nonlinear mechanics.
• Application of asymptotic methods to study the problems of nonlinear mechanics.
• Investigation of the properties of Köthe spaces over non-archimedean bodies and continuous linear operators between these spaces.
• Mathematical and numerical modeling of thin-walled and multilayer structures.
• Solving nonlinear diffusion and thermal problems given by differential and integral equations.
• Optimizing problem solving of reverse diffusion and thermal processes.
• Multivalued stochastic integrals and equations, stochastic inclusions, stochastic equations in the space of fuzzy sets.

The Institute conducts research in the following areas:

• autonomous, mobile and manipulation robots,
• navigation,
• SLAM,
• traffic planning for vehicles and manipulation robots,
• vision systems,
• built-in sensory systems,
• machine learning in processing sensory data and making decisions in real time,
• development of intelligent control and machine learning methods for autonomous aerial vehicles,
• calculation methods of optimization,
• intelligent control systems in industrial electronics and electromechanical systems, including: energy-saving, resistant and fault-tolerant systems.