Linear quadratic control. State space vs. polynomial equations
Linear repetitive process control theory applied to a physical example
In the case of linear dynamics, repetitive processes are a distinct class of 2D linear systems with uses in areas ranging from long-wall coal cutting and metal rolling operations to iterative learning control schemes. The main feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two independent directions only occurs over a finite duration. This, in turn, means that a distinct systems theory must be developed for them for onward...
Linear time-optimal control problem with incomplete information about state. Optimization of guaranteed result
Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via Riccati equations.
Ljapunova metoda v teorii omezenosti lineárních regulovaných toků
LMI conditions for robust stability of 2D linear discrete-time systems.
Local and global null controllability of time varying linear control systems
Local and global null controllability of time varying linear control systems
For linear control systems with coefficients determined by a dynamical system null controllability is discussed. If uniform local null controllability holds, and if the Lyapounov exponents of the homogeneous equation are all non-positive, then the system is globally null controllable for almost all paths of the dynamical system. Even if some Lyapounov exponents are positive, an irreducibility assumption implies that, for a dense set of paths, the system is globally null controllable.
Local controllability of odd systems
Local small time controllability and attainability of a set for nonlinear control system
In the present paper, we study the problem of small-time local attainability (STLA) of a closed set. For doing this, we introduce a new concept of variations of the reachable set well adapted to a given closed set and prove a new attainability result for a general dynamical system. This provide our main result for nonlinear control systems. Some applications to linear and polynomial systems are discussed and STLA necessary and sufficient conditions are obtained when the considered set is a hyperplane....
Local small time controllability and attainability of a set for nonlinear control system
In the present paper, we study the problem of small-time local attainability (STLA) of a closed set. For doing this, we introduce a new concept of variations of the reachable set well adapted to a given closed set and prove a new attainability result for a general dynamical system. This provide our main result for nonlinear control systems. Some applications to linear and polynomial systems are discussed and STLA necessary and sufficient conditions are obtained when the considered set...
LQ-optimal control with stabilization constraints
Lyapunov functional for a linear system with two delays
Lyapunov functional for a system with k-non-commensurate neutral time delays
Matricial decomposition of systems over rings.
Matrix measures in the qualitative analysis of parametric uncertain systems.
Meromorphic observer-based pole assignment in time delay systems
The paper deals with a novel method of control system design which applies meromorphic transfer functions as models for retarded linear time delay systems. After introducing an auxiliary state model a finite-spectrum observer is designed to close a stabilizing state feedback. The observer finite spectrum is the key to implement a state feedback stabilization scheme and to apply the affine parametrization in controller design. On the basis of the so- called RQ-meromorphic functions an algebraic solution...
Minimax control of a multivariate time-continuous linear stochastic system
Minimax control of a stochastic system with disturbances belonging to the exponential family
Minimum energy control of fractional descriptor positive discrete-time linear systems