Multi-time Euler-Lagrange dynamics
ISTASC'07 Proceedings of the 7th Conference on 7th WSEAS International Conference on Systems Theory and Scientific Computation - Volume 7
Determining a pair of metrics by boundary energy associated to a multitime PDE system
WSEAS Transactions on Mathematics
Multitime models of optimal growth
WSEAS Transactions on Mathematics
A solution to the continuous and discrete-time linear quadratic optimal problems
WSEAS Transactions on Systems and Control
Control for stability and positivity of 2-D linear discrete-time systems
WSEAS Transactions on Systems and Control
Robust stability analysis for 2-D continuous-time systems via parameter-dependent Lyapunov functions
WSEAS Transactions on Systems and Control
Adjoints 2D hybrid boundary value systems over spaces of regulated functions
WSEAS TRANSACTIONS on SYSTEMS
WSEAS Transactions on Systems and Control
Generalized 2D continuous-discrete systems with boundary conditions
ICOSSSE '09 Proceedings of the 8th WSEAS international conference on System science and simulation in engineering
Adjoints generalized 2D continuous-discrete systems
ICOSSSE '09 Proceedings of the 8th WSEAS international conference on System science and simulation in engineering
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Generalized linear systems are considered, which contain in their state-space representation matrices with elements functions of bounded variation and controls in the space of regulated functions. The Perron-Stieltjes integral is used to obtain a variation-of-parameters formula. On this basis the formula of the state of the system as well as the input-output map are derived. The fundamental concepts of controllability and reachability are analysed in this approach by means of two controllability and reachability Gramians. An optimal control is provided which solves the problem of the minimum energy transfer. The observability of these generalized systems is studied. In the case of completely observable systems a formula is obtained which recovers the initial state from the exterior data. The duality between the concepts of controllability and observability is emphasized as well as Kalman's canonical form.