Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls.
Eigenvalue assignment via state observer for descriptor systems
Eine Bemerkung zu einem Satz von W. Hahn aus der Stabilitätstheorie linearer Systeme.
El teorema de separación en el control de sistemas lineales no Gaussianos.
Elimination of finite eigenvalues of the 2D Roesser model by state feedbacks
A new problem of decreasing the degree of the closed-loop characteristic polynomial of the 2D Roesser model by a suitable choice of state feedbacks is formulated. Sufficient conditions are established under which it is possible to choose state feedbacks such that the non-zero closed-loop characteristic polynomial has degree zero. A procedure for computation of the feedback gain matrices is presented and illustrated by a numerical example.
Enlarged Asymptotic Compensation in Discrete Distributed Systems
This work concerns an enlarged analysis of the problem of asymptotic compensation for a class of discrete linear distributed systems. We study the possibility of asymptotic compensation of a disturbance by bringing asymptotically the observation in a given tolerance zone 𝒞. Under convenient hypothesis, we show the existence and the unicity of the optimal control ensuring this compensation and we give its characterization
Equivalence, invariance and dynamical system canonical modelling. I. Invariant properties of observable models and associated transformations
Estimation for linear pure delay time systems
Evaluation of the impulsive solution space of linear multivariable homogeneous implicit systems
Evaluation of the reachability subspace of general form polynomial matrix descriptions (PMDs)
Every normal linear system has a regular time-optimal synthesis
Exact decomposition of linear singularly perturbed -optimal control problem
Existence theorems for some optimal control problems
Exponentially discounted estimates and oscillations in linear controlled systems
Exterior algebra and invariant spaces of implicit systems: The Grassmann representative approach
External properness
In this paper, we revisit the structural concept of properness. We distinguish between the properness of the whole system, here called internal properness, and the properness of the “observable part” of the system. We give geometric characterizations for this last properness concept, namely external properness.
External reachability (reachability with pole assignment by p. d. feedback) for implicit descriptions
Externally and internally positive singular discrete-time linear systems
Notions of externally and internally positive singular discrete-time linear systems are introduced. It is shown that a singular discrete-time linear system is externally positive if and only if its impulse response matrix is non-negative. Sufficient conditions are established under which a single-output singular discrete-time system with matrices in canonical forms is internally positive. It is shown that if a singular system is weakly positive (all matrices E, A, B, C are non-negative), then it...
Externally and internally positive time-varying linear systems
The notions of externally and internally positive time-varying linear systems are introduced. Necessary and sufficient conditions for the external and internal positivities of time-varying linear systems are established. Moreover, sufficient conditions for the reachability of internally positive time-varying linear systems are presented.
Extracting second-order structures from single-input state-space models: Application to model order reduction
This paper focuses on the model order reduction problem of second-order form models. The aim is to provide a reduction procedure which guarantees the preservation of the physical structural conditions of second-order form models. To solve this problem, a new approach has been developed to transform a second-order form model from a state-space realization which ensures the preservation of the structural conditions. This new approach is designed for controllable single-input state-space realizations...